Answer:
36
Step-by-step explanation:
FG ≅ QG
Its the same as the other side
24 and 24
so 36 and 36
:)
Find the value of x that makes the quadrilateral a parallelogram.
3x + 5
5x - 9
X =
Answer:
3x+5=5x-9(llgram oppositesides are equal)
3x-5x= -9-5
-2x=-14
x= -14/-2
x=7
Answer: x=7
Step-by-step explanation:
both the sides have to be equal.
3x+5=5x-9
2x=14
x=7
Solve for y .−5y−8(−7y+4)=−7−9(2−y)
asap
Answer:
y = 7/50
Step-by-step explanation:
-5y + 56y - 32 = -7 - 18 + y
50y = -25 + 32
50y = 7
y = 7/50
Answer:
\( \frac{1}{2} \)
Step-by-step explanation:
Open the bracket
\( - 5y + 56y - 32 = 7 - 18 + 9y\)Collect the like terms
\(51y - 9y = - 11 + 32\)
\(42y = 21\)
Divide both sides by 42
\(y = \frac{21}{42} \)
\(y = \frac{1}{2} \)
3 to the third power minus 4 to the second power
Answer:
3^3-4^2=11
Step-by-step explanation:
3^3=27
4^2=16
27-16=11
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
If a point is chosen inside the regular polygon, what is the probability that the point
chosen is inside the right triangle outlined? Round to the nearest hundredth. Area:
Reg. Polygon=aP/2
The probability that the point chosen is inside the right triangle outlined is approximately 0.3, or 8.33%, rounded to 2 decimal places.
To find the chance that a factor chosen in the ordinary polygon is likewise in the proper triangle mentioned, we need to examine the areas of the two shapes. The location of the everyday polygon may be determined using the formulation:
Area of everyday polygon = (variety of facets × period of 1 side × apothem)/2
The region of the right triangle can be found using the system:
Area of proper triangle = (base × top)/2
The probability is then given by way of the ratio of the 2 areas:
Probability = Area of proper triangle / Area of normal polygon
However, to apply this formulation, we need to recognize some values that aren't given within the query, inclusive of the range of facets, the duration of one facet, the apothem, and the base and peak of the triangle. Without those values, we can't calculate the exact opportunity. We can most effectively estimate it by looking at the discernment and making a few assumptions.
One possible way to estimate the chance is to anticipate that the everyday polygon is a hexagon (has six aspects) and that the right triangle is 1/2 of one among its facets. Then we will approximate the length of one facet as 1 unit and the apothem as 0.866 units (the use of trigonometry). The base and height of the triangle would then be zero. 5 units and 0.866 units respectively.
Using those values, we are able to estimate the areas as follows:
Area of regular polygon ≈ (6 × 1 × 0.866)/2 ≈ 2.598 devices² Area of right triangle ≈ (0.5 × 0.866)/2 ≈ 0.2165 devices²
Probability ≈ 0.2165 / 2.598 ≈ 0.0.33
Therefore, the opportunity is approximately 0.3, or 8.33%, rounded to 2 decimal places.
Note: This is best an estimate primarily based on a few assumptions and approximations. The actual possibility might also vary depending on the actual values of the parameters worried.
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Wendell's calculations to prove A B C D a rhombus are correct, but his _ calculation is incorrect. The real area is _ square units
According to the Wendell's calculations, the real area of rhombus is (b × h) square units.
The term rhombus refers a special case of a parallelogram which has all sides are equal and diagonals intersect each other at 90 degrees.
Here we need to find the real area of rhombus according to Wendell's calculations.
The area of rhombus is calculated by finding the product of its base and corresponding altitude which is none other than the height.
Therefore, Area of rhombus = base × height = (b × h) square units.
Where b refers the base of rhombus and h refers the altitude or height of rhombus.
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If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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x-9 divided by -3 = 5
Answer:
X = -6 is the answer
Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4
Answer:
Step-by-step explanation:
0.04
All the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:
In fraction: \(4\% = \dfrac{4}{100}\)In decimal: \(4\% = 0.04\)How to convert percent to fraction and decimal?Percent counts the number compared to 100.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
For this case, the percent we have is 4%
That shows that for each 100 items, we have 4 of them. This can be written in fraction as 4/100
Solving this division, we get the result in decimal as 0.04
Thus, all the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:
In fraction: \(4\% = \dfrac{4}{100}\)In decimal: \(4\% = 0.04\)Learn more about fractions and percent here:
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The likelihood of the frequency of an event in repeated trials under similar conditions is?
The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.
What is Statistical analysis?The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
What accomplishes statistical analysis?Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.
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how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution
Answer:
50%
Step-by-step explanation:
This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration
Let x = volume of 70% solution
let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4
then 0.7X + 50L.4 ÷ X + 50L = 0.5
this equation becomes 0.5(X + 50) = 0.7X + 20
which yields 0.5X + 25 = 0.7X +20
combining, we get 5 = 0.2X, and 25 = X
when we mix the two volumes, we get 50L x 40% + 25L x 70%,
which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution
which is a final concentration of 50%
There are 25 liters volume of 70% alcohol solution used.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Let volume of 70% alcohol solution = x
So, By given information, we can formulate;
⇒ 70% × x + 40% × 50 / (x + 50) = 50%
⇒ 0.7x + 20 = 0.5 (x + 50)
⇒ 0.7x + 20 = 0.5x + 25
⇒ 0.2x = 5
⇒ x = 25
Thus, The volume of 70% alcohol solution = 25 L
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Solve log x = 4. (5 points) 10,000 1,000 40 4
log(x) = 4 can be restated as an exponential statement: 10^4 = x
x = 10000
Select ALL the relations that are functions. 100pts! hurry!
Question 5 options:
{(2, 2),(4, 4),(6, 6),(8, 8)}
{(1, 2),(3, 3),(4, 8),(6, 3)}
{(0, 3),(3, 5),(5, 6),(8, 4)}
{(3, 4),(5, 2),(5, 6),(7, 3)}
Answer:
Set 1 = {(2, 2),(4, 4),(6, 6),(8, 8)}
Set 2 = {(1, 2),(3, 3),(4, 8),(6, 3)}
Set 3 = {(0, 3),(3, 5),(5, 6),(8, 4)}
Step-by-step explanation:
A function is a special type of relation where each input is related to exactly one output.
Set 1 = {(2, 2),(4, 4),(6, 6),(8, 8)}
This is a function as each input is related to exactly one input.
It is a one-to-one function as no two inputs correspond to the same output.
Set 2 = {(1, 2),(3, 3),(4, 8),(6, 3)}
This is a function as each input is related to exactly one input.
It is a many-to-one function as two inputs (x=3 and x=6) correspond to the same output (y=3).
Set 3 = {(0, 3),(3, 5),(5, 6),(8, 4)}
This is a function as each input is related to exactly one input.
It is a one-to-one function as no two inputs correspond to the same output.
Set 4 = {(3, 4),(5, 2),(5, 6),(7, 3)}
This is not a function as the same input (x=5) corresponds to two different outputs (y=2 and y=6).
find the directional derivative of the function at the given point in the direction of the vector v. g(s, t) = s t , (3, 9), v = 2i − j
Directional derivative of the function g(s, t) = st at the point (3, 9) in the direction of the vector v = 2i - j is 15/√5.
Step by step find the directional derivative of the function g(s, t)?Here are the steps:
1. Compute the partial derivatives of g(s, t) with respect to s and t:
∂g/∂s = t
∂g/∂t = s
2. Evaluate the partial derivatives at the given point (3, 9):
∂g/∂s(3, 9) = 9
∂g/∂t(3, 9) = 3
3. Write the gradient vector ∇g as a combination of the partial derivatives:
∇g = 9i + 3j
4. Normalize the given direction vector v = 2i - j:
||v|| = √(2² + (-1)²) = √5
v_normalized = (2/√5)i + (-1/√5)j
5. Compute the directional derivative D_v g by taking the dot product of ∇g and v_normalized:
D_v g = (9i + 3j) • ((2/√5)i + (-1/√5)j)
= (9 × (2/√5)) + (3 × (-1/√5))
= (18/√5) + (-3/√5)
= 15/√5
So the directional derivative of the function g(s, t) = st at the point (3, 9) in the direction of the vector v = 2i - j is 15/√5.
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Which figure does not show symmetry?
A.
B.
C.
D
E.
A football player weighed 170 pounds in May. During the summer, he gained 25 pounds. During the first week of fall practice, he lost 10 pounds, and during the second week, he lost another 3 pounds. How much did he weigh at that point?
A.) 182 lb.
B.) 182 lb.
Answer:
182 pounds
Step-by-step explanation:
170+25-10-3=182
Answer:
182
Step-by-step explanation:
Third-degree, with zeros of −3, −1, and 2, and passes through the point (3,11)
The polynomial with zeros of −3, −1, and 2, and passes through the point (3,11) is:
P(x) = (11/24)*(x + 3)*(x + 1)*(x - 2)
How to get the polynomial?We know that the zeros are −3, −1, and 2, so if we define the leading coefficient as A, the polynomial can be written as:
p(x) = A*(x + 3)*(x + 1)*(x - 2)
Now we want this to pass through the point (3, 11), then we get:
p(3) = 11 = A*(3 + 3)*(3 + 1)*(3 - 2)
11 = A*6*4*1
11 = A*24
11/24 = A
Then the polynomial is:
P(x) = (11/24)*(3 + 3)*(3 + 1)*(3 - 2)
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Which formula is not equivalent to the other two? (-1k-3 k +3 k+ 4 ks4 Choose the correct answer below. k+3 ke-2 k-3 ks4 (-が k +4 k -3
The correct answer is k+3 ke-2.
To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:
1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4
Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.
Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).
Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.
Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.
Therefore, the formula that is not equivalent to the other two is k+3 ke-2.
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the curve c, which goes along y = x2 from the point (0, 0) to the point (2, 4), then in a straight line from (2, 4) to (0, 4), and then along the y-axis back to (0, 0)
The total length of the curve is:
L = L₁ + L₂ + L₃ = 2.841 + 2 + 4 = 8.841.
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
To find the length of the curve, we need to break it into its three segments and find the length of each segment separately.
Segment 1: y = x² from (0,0) to (2,4)
The length of this segment can be found using the arc length formula for a curve y = f(x) from x = a to x = b:
L = ∫[a,b] √[1 + (dy/dx)²] dx
In this case, f(x) = x², so dy/dx = 2x. Thus, the length of this segment is:
L1 = ∫[0,2] √[1 + (2x)²] dx ≈ 2.841
Segment 2: Straight line from (2,4) to (0,4)
The length of this segment is simply the distance between the two points:
L₂ = √[(0-2)² + (4-4)²] = 2
Segment 3: y-axis from (0,4) to (0,0)
The length of this segment is simply the distance between the two points:
L3 = √[(0-0)² + (4-0)²] = 4
Therefore, the total length of the curve is:
L = L₁ + L₂ + L₃ = 2.841 + 2 + 4 = 8.841
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a scatterplot includes data showing the relationship between the value of a painting and the age of the painting. which graph displays the line of best fit for the data?
The scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.
A line of best fit, also known as a regression line, is a line that represents the relationship between two variables in a scatterplot. The line of best fit is used to describe the overall trend in the data and can be used to make predictions about one variable based on the values of the other variable.
The line of best fit in a scatterplot can be represented as a straight line, a polynomial, or another type of mathematical function, depending on the relationship between the variables. To find the line of best fit, the student would need to use statistical techniques such as linear regression or polynomial regression to calculate the equation of the line that best represents the data.
The line of best fit is then plotted on the scatterplot along with the data points, creating a visual representation of the relationship between the two variables. The line of best fit can be used to make predictions about one variable based on the values of the other variable, and to determine the strength and direction of the relationship between the two variables.
Thus, In conclusion, the scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.
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The scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.
The scatterplot that includes the computed line of best fit shown on the graph with the data points is the scatterplot that displays the line of best fit for the data.
A line of best fit, also known as a regression line, is a line in a scatterplot that illustrates the connection between two variables. The line of best fit is used to depict the general trend in the data and may be used to forecast one variable based on the values of another.
Depending on the relationship between the variables, the line of best fit in a scatterplot can be depicted as a straight line, a polynomial, or another sort of mathematical function. The learner would need to apply statistical techniques such as linear regression or polynomial regression to derive the equation of the line that best represents the data in order to obtain the line of best fit.
The line of best fit is then drawn alongside the data points on the scatterplot, producing a visual depiction of the connection between the two variables. The line of best fit may be used to anticipate the value of one variable based on the value of another variable, as well as to identify the strength and direction
To summarize, the scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.
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the situation.
Sheryl makes $7 per pair of
earrings, e, and $13 per necklace,
n, she sells. What expression
represents her total income?
The expression which represents Sherly's total income is 7e + 13n.
What is Cost Price?The cost price represents the specific value that represents unit price purchased.
Here,
total pair of earrings = e
total pair of necklaces = n
Cost of 1 pair of earring = $ 7
Cost of 1 necklace = $ 13
earning from earring = 7e
earning from necklace = 13n
Total earning = earning from earring + earning from necklace
Total earning = 7e + 13n
Thus, the expression which represents Sherly's total income is 7e + 13n.
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1. What is the area of rhombus KLMN?
2. What is the length of diagonal LN?
3. what is the measure of angle L?
The measure of angle L in the rhombus KLMN is 110 degree.
We are given that;
Angle KNL=55 degree
1/2 MK=11.4 in
KN= 17 in
Now,
The area of rhombus KLMN
=17*17
=289 in sq
The length of diagonal LN
By pythagoras theorum
17^2 + 17^2 = LN^2
289+289=LN^2
LN^2=578
LN=24.04
The measure of angle L= i1+i2
i2 = Angle KNL
i2=55, i1=55
L=55+55= 110 degree
Therefore, by pythagoras therum the answer will be 110 degree.
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For my brother please!
Answer:
1)6
2)9
3)4
4)6
5)6
6)4
7)6
8)6
9)6
10)4
11)4
12)6
13)6
14)8
Step-by-step explanation:
I hoped it helped
Container a was filled with water to the brim. then, some of the water was poured into an empty container b until the height of the water in both containers was the same. find the new height in both water containers
After pouring some water from container A into container B, the new height of the water in both containers will be equal.
When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.
When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.
The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.
Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.
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Simplify the expression to a single power of x. Open parentheses x to the power of begin display style bevelled 1 half end style end exponent over x to the power of begin display style bevelled 1 fifth end style end exponent close parentheses to the power of bevelled 1 fourth end exponent
The simplified form of the given expression is x raise to the power of one-thirty.
Simplifying indices expressionsGiven the indices expression (x^1/2/(x^1/3)^1/5
Using the indices law below:
a^m/a^n = a^m-n
(a^m)^n
Applying the law above to the given equation
(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5
(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5
(x^1/2/(x^1/3)^1/5 = x^1/30
Hence the simplified form of the given expression is x raise to the power of one-thirty.
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142857/500000 simplified
Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).
Answer:
0.285714 -> 0.29
Step-by-step explanation:
If lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when lisa maximizes her utility she will buy?
If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
What is marginal utility?In economics, utility is defined as the satisfaction or benefit gained from using a product. The marginal utility of a good or service describes how much pleasure or satisfaction consumers gain as a result of a one-unit increase or decrease in consumption. There are three different kinds of marginal utility. They have a marginal utility of either positive, negative, or zero. For example, if Lisa spends her money on veggie burgers and pints of soy milk, and the price of the veggie burgers is three times the price of the soy milk, Lisa will maximize her utility by purchasing both goods until the marginal utility of the veggie burgers is three times the marginal utility of the soy milk.Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
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how do you find the perimeter of an isosceles trapezoid
the formula for the perimeter (P) of an isosceles trapezoid is:
P = 2 * (base1 + base2) + leg1 + leg2
To find the perimeter of an isosceles trapezoid, follow these steps:
1. Identify the given measurements: In an isosceles trapezoid, know the lengths of the two parallel sides (the bases) and the two non-parallel sides (the legs).
2. Add the lengths of the bases: Add the lengths of the two parallel sides (bases) of the trapezoid.
3. Multiply the sum by 2: Multiply the sum from step 2 by 2 to account for both sides of the trapezoid.
4. Add the lengths of the legs: Add the lengths of the two non-parallel sides (legs) of the trapezoid.
5. Add the results: Add the results from steps 3 and 4 to find the perimeter of the isosceles trapezoid.
Mathematically, the formula for the perimeter (P) of an isosceles trapezoid is:
P = 2 * (base1 + base2) + leg1 + leg2
Alternatively, know the lengths of all four sides of the trapezoid, simply add them together to find the perimeter.
Keep in mind that the measurements used in the formula should be in the same unit (e.g., centimetres, inches) for accurate results.
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Answer:
P = a + b + 2cStep-by-step explanation:
P = a + b + 2c
where a is the top, b is the bottom, and c is a leg of the trapezoid. The perimeter is the sum of the outer edge of the shape, so you just need to add the lengths of the sides.
Mason needs to order some new supplies for the restaurant where he works. The restaurant needs at least 637 glasses. There are currently 343 glasses. If each set on sale contains 6 glasses, use the drop-down menu below to write an inequality representing s, the number of sets of glasses Mason should buy.
The inequality representing s is: s ≥ 50.
What is inequality?An inequality is a mathematical statement that compares the values of two expressions using inequality symbols such as <, >, ≤, or ≥.
For example, 3x + 2 < 8 is an inequality that means "three times x plus two is less than eight."
The minimum number of glasses needed is 637 and there are already 343 glasses, so Mason needs to buy (637 - 343) = 294 more glasses. Since each set contains 6 glasses, the number of sets Mason should buy is s = 294/6 = 49.
However, since s represents the number of sets he should buy, we need to round up to the next integer since he can't buy a fraction of a set.
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solve for x. represent your answer on a number line. -2x + 4 < 8 or 3x + 4 < or equal to -5
To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.
For the first inequality, -2x + 4 < 8, we will isolate x:
-2x + 4 - 4 < 8 - 4
-2x < 4
Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):
x > -2
For the second inequality, 3x + 4 ≤ -5, we isolate x:
3x + 4 - 4 ≤ -5 - 4
3x ≤ -9
Dividing both sides by 3:
x ≤ -3
Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.
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