Answer:
It's the third one from left to right : x/2 + 2 = 3
Mercury travels about 107,100 miles per hour as it resolves around the sun. How far does Mercury travel in 6 seconds?
Answer:
12
Step-by-step explanation:
Answer:
17,850
Step-by-step explanation:
Which number line model represents the expression 6+(-2)?
Number line model represented in option C represents the expression 6 + (-2).
What is Number Line?Number line is a pictorial representation of numbers, both negative and non-negative numbers, written on a horizontal straight line within specific intervals.
Number line are used to determine basic mathematical operations like addition, subtraction, division and multiplication.
So here, we are adding the value -2 with 6.
First draw an upward arrow from 0 to 6 in order to represent that we are initiating the addition process with 6.
Then the number -2 added to 6 implies that the number 2 is actually deducting from 6.
So we draw a downward arrow to unit units from 6.
Then we get the number 4 corresponding to the point where the arrow ends.
Hence, option C is the model which represents the expression 6 + (-2).
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y=x + 4 and 2y = -2x - 8
What are the intercepts of the line y=x+4
x-value of x-intercept
|
y-value of y-intercept
You are using the map shown to navigate through the city. You decide to walk to the Post Office from your current location at the Community Center. Describe the translation that you will follow. If each grid on the map is 0.05 mile, how far will you travel?
Using translations and proportions, it is found that:
To go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.You will travel 0.18 miles.Translations are modifications made to the function, when it is shifted up/down, or left/right.
In this problem, to go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.
The distance is the hypotenuse of a right triangle, in which the legs are 2 units and 3 units. Hence, the distance on the coordinate grid is found applying the Pythagorean Theorem:
\(d^2 = 2^2 + 3^2\)
\(d = \sqrt{13}\)
\(d = 3.606\)
Since each grid is 0.05 mile, in miles, the distance is:
\(d = 0.05(3.606) = 0.18\)
You will travel 0.18 miles.
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which system of inequalities does the graph represent? a. 2x 3y 4 and x 2y 3 b. 2x 3y 4 and x 2y 3 c. 2x 3y 4 and x 2y 3 d. 2x 3y 4 and x 2y 3 e. 2x 3y 4 and 2x 2y 3
The graph represents the system of inequalities 2x + 3y ≥ 4 and x + 2y ≤ 3. The test point (0, 1) satisfies both of the inequalities in that system. So, the correct answer is C). 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3.
The graph represents the system of inequalities: 2x + 3y ≥ 4 and x + 2y ≤ 3. To determine the test point that satisfies both of the inequalities in the system, we can pick any point that lies within the shaded region on the graph. One such point is (1, 1).
Plugging this point into both inequalities, we get
2(1) + 3(1) ≥ 4 → 5 ≥ 4 (true)
1 + 2(1) ≤ 3 → 3 ≤ 3 (true)
Since both inequalities are true for the point (1, 1), it satisfies both of the inequalities in the system. So, the correct option is C).
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--The given question is incomplete, the complete question is given
" Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
The graph represents the system of inequalities__________
A) 2x + 3y is greater than or equal to 4 and x+2y is greater than or equal to 3
B) 2x + 3y is less than or equal to 4 and x + 2y is less than or equal to 3
C) 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3
D) 2x +3y is less than or equal to 4 and x + 2y is greater than or equal to 3
E) 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to to 3"--
3. Dina drove 625 miles in 8 hours. Kris drove 575 miles in 10
hours. Who drove at a faster rate?
Fill in the blanks to compare the rates of speed for Dina and Kris.
miles per hour faster than
's rate is 10
's rate.
Answer: pee
Step-by-step explanation:
Refer to Table 4-1. Suppose that D2 and S1 are the prevailing demand and supply curves for a product. If the demand schedule changes from D2 to D1, then:
Price D 1 D 2 S 1 S 2
$12 5 9 19 14
$10 8 12 17 12
$8 11 15 15 10
$6 13 18 13 8
$4 16 21 11 6
$2 18 24 9 4
equilibrium price increases from $6 to $8.
equilibrium quantity increases from 13 to 18
equilibrium quantity decreases from 15 to 13.
equilibrium price decreases from $6 to $4.
The correct option is A, equilibrium price increases from $6 to $8.
What do you mean by Equilibrium?In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.
Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.
If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).
From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.
So the correct answer is: equilibrium price increases from $6 to $8.
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find the matrix a' for t relative to the basis b'. t: r2 → r2, t(x, y) = (−8x y, 8x − y), b' = {(1, −1), (−1, 5)}
The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)
First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).
Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).
\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)
\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)
Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)
Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.
Now, we will write the equations with the coordinates of the basis vectors of \(b'\).
\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)
Now we will write the matrix of \(A\) as follows:
\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)
Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
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Alex has a pile of two pence coins he swapped exactly half of them for the same number of 10 pence coins now she has £4.20 how much money did she originally have ?
The amount of money that Alex originally had would be = £8.4
How to calculate the original amount of money owed by Alex?To calculate the original amount of money that Alex has, the following should be carried out;
Th coins owned by Alex is arranged in piles of coins.
The quantity of coins in piles that is owed by Alex = 2 pence.
Half of the pile of coin = £4.20 = 10 pence.
The original amount she owns = 2 × 4.20 = £8.4
Therefore, the original amount of money that is owned by Alex would be = £8.4
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Find the area of a circle whose center is at (2, 2) and goes through the point (8, 2)
The area of the circle is 113.04 square units.
How to find the area of the circle?The area of a circle of radius R is given by:
A = π*R²
Where π = 3.14
Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:
R = √( (2 - 2)² + (8 - 2)²)
R = 6
Then the area of the circle is:
A = 3.14*(6)² = 113.04 square units.
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A class planted 130 seeds. 52 seeds grew into plants. What percent of the seeds grew into plants?
Answer:
40%
Step-by-step explanation:
52/130 =.4
.4 x 100=40
Answer:
40%
Step-by-step explanation:
40%
Mike has 18 goldfish and 24 silver fish in his aquarium. What is the ratio of silver fish to total fish in
the aquarium?
Answer:
24:42
Step-by-step explanation:
The 24 comes from the 24 silver fish. The 42 comes from the total fish
Pls help for final!!! I put picture
Answer:
maybe option no C is correct .
I did in my copy and ans was 5 .
Step-by-step explanation:
its 5 and this the correct answer
The water level in a tank measures 15 inches and is decreasing 0.5 inches every minute. How many minutes, x, will it take for the water level to measure 9 inches deep?
12 minutes .
The tank takes 12 minute for the water level to measure 9 inches deep.
Explain two step problem?A two-step problem is a word problem that must be solved in two steps.While many of these problems have only one step, a two-step word problem necessitates the solution of two different equations. Two different operations (such as multiplication and addition) or two of the same operation may be used in the two-step word problem (like subtraction and subtraction).Given tank measurement = 15 inches .
it decreases 0.5 inches every minute.
We have to the minute at which water level reaches 9 inches deep,
Here the difference of inches is 6 inches .
15 inches - 6 inches = 9 inches
To find minute ,
6 / 0.5 = 12 minute .
The tank takes 12 minute to measure 9 inches deep.
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Select the solutions to the equation
2x² - 13x + 15= 0
Select all that apply
7. Parallelogram CDEF has vertices C(3, 2), D(8, 4), E(6, -3) and F(1, -5). Its image has vertices
C'(-6, 6), D'(-1, 8), E’(-3, 1), and
F’(-8, -1). Write a rule to represent this translation.
A rule to represent this translation include the following (x, y) → (x - 9, y + 4).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.C(3, 2) → C'(-6, 6)
3 + x = -6
x = -6 - 3 = -9.
y + 2 = 6
y = 6 - 2 = 4.
Therefore, the transformation rule is (x, y) → (x - 9, y + 4)
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suppose we have the sample data 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. consider this as a sample from a normal distribution with unknown mean and variance, and assess the hypothesis that the population median (which is the same as the mean in this case) is 3. also carry out a sign test that the population median is 3 and compare the results. plot a boxplot for these data. does this support the assumption that we are sampling from a normal distribution? which test do you think is more appropriate? justify your answer.
The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.
We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.
Hypothesis testing parameters are
\(Н_0 : \mu = 3 \)
\(H_a : \mu ≠ 3 \)
The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.
Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is
'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median
= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.
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1. If a square-thread screw having a major diameter of 19 mm and six threads per 25. 4mm is used to lift a load of 17. 80 KN, compute the efficiency of the power screw in raising the load. Use a coefficient of friction of 0. 20
The efficiency of the power screw in raising the load is approximately 6976%.
The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:
IMA = (π / tan(α)) x (π / 2) x (D / P)
Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6
Pitch = 25.4 mm / 6 = 4.23 mm (approximately)
Now, we can substitute the values into the formula to find IMA:
IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)
Using the given coefficient of friction, we have:
IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)
Simplifying the equation, we get:
IMA = 9.87 x 1.57 x 4.49
Calculating IMA, we find:
IMA ≈ 69.76
Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:
AMA = Load / Effort
Where:
Load is the weight being lifted (given as 17.80 kN)
Effort is the force applied to turn the screw
Since the screw is being used to lift the load, the Effort is equal to the load.
AMA = 17.80 kin / 17.80 kin
AMA = 1
Now, we can calculate the efficiency using the formula:
Efficiency = (IMA / AMA) x 100%
Efficiency = (69.76 / 1) x 100%
Efficiency ≈ 6976%
The efficiency of the power screw in raising the load is approximately 6976%.
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Simplify each expression:
a.) -72 = 8 + (-6) - 2
b.) -4 + (-32) = (-4.4)
Answer:
Step-by-step explanation:
a) -72 = 8 + -6 -2
-72 = 0
b) -4 + (-32) = (-4.4)
-36 = -4.4
1. A hotdog manufacturer made 400 hotdogs between 9am and 11 am this morning. The machine that makes the
hotdogs is supposed to produce hotdogs so that their weight is approximately normally distributed with a
mean of 8 ounces and a standard deviation of 0.44 ounces. An employee randomly selects 6 of the hotdogs
and finds that the mean weight of the hotdogs is 7.7 ounces.
Identify the population, the parameter, the sample, and the statistic in this context.
(Show work if possible)
Population:
Parameter:
Sample:
Statistic:
there are nine different positions on a baseball team. if a team has 15 players how many different line-ups can the team make? (assume every player can play every position.) the team can make different line-ups. baseball games consist of nine innings. a team wants to change its line-up every inning. if no game goes to extra innings, and a season consists of 66 games, how many complete seasons can the team play without repeating a line-up?
There are 18 seasons and the number of different line-ups the team can make is 24310
A) We are given the team has 17 players and there are 9 different positions in the team.
This is a combination question and thus, the number of different line-ups the team can make is;
C(17, 9) = 24310
B) We are told the basketball games consist of 9 innings.
Thus,
Number of games you can fill = 24310/9 = 2701.1111
And then we are told a season consists of 147 games.
Thus;
The number of complete seasons can the team play without repeating a line-up = 2701.1111/147 ≈ 18 seasons.
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Sally has a bag of marbles to share with her friends. Sue chooses first and takes 1/3 of the marbles out of the bag. Next, bill takes 1/4 of the remaining marbles. Brian then gets 1/2 of the remaining marbles, which leaves 75 marbles for sally. How many marbles did sally’s friends take?
The number of marble Sally's friends take is
What is word problem?A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.
Solving word problem requires critical thinking.
Let x represents the total number of marble
Sue takes 1/3 of the marble= (1/3)x
remaining marble after sue = x-(1/3)x = (2/3)x
Bill takes 1/4 of the remainder =( 2/3)x × 1/4 =( ⅙)x
the remaining marble after Bill is( ⅔-⅙)x = 5x/6
Brian takes 1/2 of the remainder 5x/6 ÷2 = 5x/12
The remainder after Brian = 5x/6-5x/12= 75
multiply through by 12
= 10x-5x = 900
5x = 900
divide both sides by 5
x = 900/5 = 180 marbles
This means the total marble is 180
after all Sally's friends have taken, 75 is left.
Therefore the number of marbles taken by Sally's friends is 180-75 = 105 marbles
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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks?
Given:
Consider the complete question is "A speed walker covered \(4\dfrac{1}{4}\) mi in \(\dfrac{3}{4}\) hour. How far will he walk in 3/4 hours if he walks twice as fast?"
A speed walker covered \(4\dfrac{1}{4}\) mi in \(\dfrac{3}{4}\) hour.
To find:
Distance covered by him if in 3/4 hour if he walks twice as fast.
Solution:
We have,
\(Distance=4\dfrac{1}{2}=\dfrac{9}{2}\)
It means a speed walker covered \(\dfrac{9}{2}\) mi in \(\dfrac{3}{4}\) hour.
If the speed is twice then he can cover double distance is same time.
Distance covered by him if in 3/4 hour if he walks twice as fast is
\(2\times \dfrac{9}{2}=9\)
Therefore, distance covered by him is 9 mi.
List the following in order from least steep to most steep.
f(x)= -3/4x
g(x)= -5x
h(x)= 5/7x
j(x)= 11/3x
Answer:
h(x), f(x), j(x), g(x)Step-by-step explanation:
Given functions
f(x)= -3/4x g(x)= -5x h(x)= 5/7x j(x)= 11/3xTo compare steepness we'll compare absolute values of slopes
The steepness increases as the slope increases
The slopes are
3/4, 5, 5/7, 11/3Comparing the fractions
3/4 = 21/28, 5/7 = 20/28, so 3/4 > 5/7And
11/3 < 4So the order is
5/7 < 3/4 < 11/3 < 5As functions, the order is
h(x), f(x), j(x), g(x)I'm not sure what the answer is could anyone help?
a)From this 230 is divisible by 10.Then 995 and 526 are not divisible by 10.b)From this 230 and 995 are divisible by 5 and 526 is not divisible by 5.c) From this 230,995,526 are divisible by 2.
Divisibility by 10: A number is divisible by 10 if its last digit is 0. Therefore, 230 is divisible by 10 since its last digit is 0. 995 and 526 are not divisible by 10 since their last digits are not 0. The mathematical formula for divisibility by 10 is: (10 | N) = 0,Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 230. (10 | 230) = 0230/10 = 23 Therefore, 230 is divisible by 10. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Therefore, 230 and 995 are divisible by 5 since their last digits are 0 and 5 respectively. 526 is not divisible by 5 since its last digit is not 0 or 5. The mathematical formula for divisibility by 5 is: (5 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 995. (5 | 995) = 0995/5 = 199 .Therefore, 995 is divisible by 5. Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. Therefore, 230, 995, and 526 are all divisible by 2 since their last digits are 0, 5 and 6 respectively. The mathematical formula for divisibility by 2 is: (2 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 526. (2 | 526) = 0.526/2 = 263 .Therefore, 526 is divisible by 2.
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Please help!!! BRAINLIEST TO CORRECT ANSWER!!
Answer:
7.4
Step-by-step explanation:
Answer:
Nice! Quadratic Equations!
Step-by-step explanation:
Okay, I'll try to keep it as brief as possible.
To find out how many solutions there are in a quadratic equation, we need to find the Discriminate.
It's pretty simple. The form of a quadratic equation is:
\(ax^2+bx+c=0\)
Our Discriminant is \(b^2-4ac\).
Time to solve! (input b=7, a=9, and c=-4)
\(49+144\\193\)
The discriminate is positive, meaning there are two answers.
If it was zero, there would be only one.
if it was negative, there would be no solutions.
Time to actually solve!
Completing the square looks to be a bad solution, so I'll go with the Quadratic Equation. Remember, don't use it too often.
(Quadratic Equation: \(x=\frac{-b+-\sqrt{b^2-4ac} }{2a}\))
\(x=\frac{-7+-\sqrt{49+144} }{18}\)
\(x=\frac{-7+-\sqrt{193} }{18}\) <-------SOLUTION! COME HERE!
193 seems to be a prime number, so I can't simplify it any more.
There's your solution!
(Note: +- means plus/minus, where there are two cases, one where the square root has a negative sign, and the other with a positive sign.)
Happy Quadraticing!
37. Perform the following binary multiplications, assuming unsigned integers: c) 11010 x 1011
The product of the unsigned integers 11010 and 1011 in binary multiplication is 10011110.
Hi! I'd be happy to help you with this binary multiplication problem using unsigned integers. Here's the step-by-step process:
1. First, write down the two binary numbers, with the larger one (11010) on top and the smaller one (1011) on the bottom.
2. Start multiplying each digit of the bottom number (1011) with the entire top number (11010), working from right to left. Write the results below the original numbers, shifting one place to the left for each digit.
11010
x1011
------
11010 (11010 * 1)
00000 (11010 * 0, shifted one place to the left)
11010 (11010 * 1, shifted two places to the left)
11010 (11010 * 1, shifted three places to the left)
------
3. Now, add the results together:
11010
x1011
------
11010
00000
11010
11010
------
10011110
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A film of oil of index of refraction n = 1. 45 rests on an optically flat piece of glass of index of refraction n = 1. 6. When illuminated with white light at normal incidence, light of wavelengths 690 nm and 460 nm is predominant in the reflected light. What is the thickness of the film (in nm)?.
The thickness of the film in the given setup of thin film interference is calculated to be 475.8 nm.
Thin film interference-
A natural phenomena known as "thin-film interference" occurs when light waves reflected by a thin film's upper and lower limits collide with one another, either boosting or weakening the light that is reflected. The reflected waves from both sides interfere and cancel out when the thickness of the film is an odd multiple of one quarter-wavelength of the light on it. The wave is entirely transmitted because it cannot be reflected. The two reflected waves reinforce one another when the thickness is a multiple of the light's half-wavelength, enhancing reflection and decreasing transmission.
As we know that for normal incidence in thin film interference
2μt=nλ₁ (equation 1)
where,
μ₁ is the refractive index
t is the thickness of the film
n is the order
λ is the wavelength of the light
For consecutive spectral line (n+1)
2μt=(n+1)λ₂ (equation 2)
Dividing equation 1 and 2 we get
λ₁/λ₂= \(\frac{n+1}{n}\)
λ₁= 690 nm
λ₂=460 nm
On putting the values and solving we get
n=2
Putting n=2 in equation 1 we get
t= 475.8 nm
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What is the slope of a line that passes through the
points (5,-2) and (-3, -4)?
Answer:
______________the answer is Y=0.25X-3.25_______
can simplify this please 3−10(4p−1)
Answer:
- 40p + 13
Step-by-step explanation:
Given
3 - 10(4p - 1) ← distribute the parenthesis by - 10
= 3 - 40p + 10 ← collect like terms
= - 40p + 13