Consider this system of equations.
What is the solution to the system of equations?
2.1 + y = 11
2x - 5y = 8
Answers
SOLUTION
y=11 - 2.1
=8.9
2. 2x - 5y - 8 = 0
HOPE THIS HELPS :))
Related Questions
I’ll give brainliest! Please help
Answers
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Which is the constant of variation, k, if y=kx, and y=3 when x=4?
3/4
4/3
3
4
Answers
Answer:
k = \(\frac{3}{4}\)
Step-by-step explanation:
given variation equation
y = kx
to find k substitute y = 3 and x = 4 into the equation and solve for k
3 = 4k ( isolate k by dividing both sides by 4 )
\(\frac{3}{4}\) = k
Here is the directions my teacher told me “ do not use your calculator to multiple by or find inverses of 2x2 matrices. You must know the formula for inverting those and be able to apply it.”
Answers
Statement Problem: Find;
\(\begin{bmatrix}{a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3} \\ {} & {} & \end{bmatrix}\)If;
\(3(\begin{bmatrix}{-4} & {0} & {1} \\ {0} & {2} & {3} \\ {} & {} & \end{bmatrix}-\begin{bmatrix}{2} & {2} & {-2} \\ {3} & {-6} & {0} \\ {} & {} & \end{bmatrix})=\begin{bmatrix}{a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3} \\ {} & {} & \end{bmatrix}\)Solution:
First, we find the difference of the matrices in the bracket;
\(\begin{gathered} \begin{bmatrix}{-4} & {0} & {1} \\ {0} & {2} & {3} \\ {} & {} & \end{bmatrix}-\begin{bmatrix}{2} & {2} & {-2} \\ {3} & {-6} & {0} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{-4-2} & {0-2} & {1-(-2)} \\ {0-3} & {2-(-6)} & {3-0} \\ {} & {} & \end{bmatrix} \\ \begin{bmatrix}{-4} & {0} & {1} \\ {0} & {2} & {3} \\ {} & {} & \end{bmatrix}-\begin{bmatrix}{2} & {2} & {-2} \\ {3} & {-6} & {0} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{-6} & {-2} & {3} \\ {-3} & {8} & {3} \\ {} & {} & \end{bmatrix} \end{gathered}\)Then, we multiply the result above by 3;
\(\begin{gathered} 3(\begin{bmatrix}{-4} & {0} & {1} \\ {0} & {2} & {3} \\ {} & {} & \end{bmatrix}-\begin{bmatrix}{2} & {2} & {-2} \\ {3} & {-6} & {0} \\ {} & {} & \end{bmatrix})=3(\begin{bmatrix}{-6} & {-2} & {3} \\ {-3} & {8} & {3} \\ {} & {} & \end{bmatrix}) \\ 3(\begin{bmatrix}{-6} & {-2} & {3} \\ {-3} & {8} & {3} \\ {} & {} & \end{bmatrix})=\begin{bmatrix}{3(-6)} & {3(-2)} & {3(3)} \\ {3(-3)} & {3(8)} & {3(3)} \\ {} & {} & \end{bmatrix} \\ 3(\begin{bmatrix}{-6} & {-2} & {3} \\ {-3} & {8} & {3} \\ {} & {} & \end{bmatrix})=\begin{bmatrix}{-18} & {-6} & {9} \\ {-9} & {24} & {9} \\ {} & {} & \end{bmatrix} \end{gathered}\)Hence, the solution is;
\(\begin{gathered} a_1=-18,a_2=-6,a_3=9_{} \\ b_1=-9,b_2=24,b_3=9 \end{gathered}\)i need the answer of this 9th grade question
Answers
The amount of fabric used to make the number cube is given as follows:
C. 294 cm².
How to obtain the amount of fabric?The amount of fabric used to make the number cube is represented by the surface area of the number cube.
The surface area of a cube of side length a is given by the equation presented as follows:
S = 6a².
The side length for this problem is given as follows:
a = 7 cm.
Hence the surface area of the cube is calculated as follows:
S = 6 x 7²
S = 294 cm².
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The graphs below are both absolute value functions. The equation of the redgraph is f(x) = [x]. Which of these is the equation of the blue graph, g(x)?fx) = x1y5-Xg(x) = ?-55-5O A. g(x) = 1/4O B. g(x) = (x - 21O C. g(x) = (x + 21O D. g(x) = 21x1
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} RedGraph\colon f\mleft(x\mright)=|x| \\ \Rightarrow y=|x| \end{gathered}\)For the Blue Graph, let's pick 4 coordinates along the line to determine the equation of the graph"
\(\begin{gathered} (x,y)=(-2,1),(0,0),(2,1),(4,2) \\ |x|=2y\Rightarrow y=\frac{1}{2}|x| \end{gathered}\)We will proceed thus:
\(\begin{gathered} y=\frac{1}{2}|x| \\ g(x)=\frac{1}{2}|x| \\ when,x=-2 \\ g(-2)=\frac{1}{2}|-2|=1 \\ when,x=0 \\ g(0)=\frac{1}{2}|0|=0 \\ when,x=2 \\ g(2)=\frac{1}{2}|2|=1 \\ when,x=4 \\ g(4)=\frac{1}{2}|4|=2 \\ \\ \therefore g(x)=\frac{1}{2}|x| \end{gathered}\)When Matthew eats pizza, he always eats a whole slice at a time with no bites left over. Which graph best represents this situation?
A graph has slices eaten on the x-axis and slices left on the y-axis. Points form a line with positive slope.
A graph has slices eaten on the x-axis and slices left on the y-axis. Points form a line with negative slope.
A graph has slices eaten on the x-axis and slices left on the y-axis. A line has a negative slope.
A graph has slices eaten on the x-axis and slices left on the y-axis. A line has a positive slope.
Answers
Answer:
sorry im late but the awnser is B.
Step-by-step explanation:
i got this right on edge anywho if you found this helpful follow nah im kiding
Answer:
B
Step-by-step explanation:
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
Answers
If the donor retains the right to revoke or redirect the gift, the recipient not-for-profit entity should record the receipt of the gift as a liability in its financial records. The liability should be recorded at the fair market value of the gift at the time of receipt.
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Answers
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
HELP NOW !!!!!!!! solve ∣x − 6∣= 2
Answers
Answer:
x=8
Step-by-step explanation:
<3
Answer:
{8,4} can you mark as brainliest
athletes in a particular sport are classified as either offense or defense. the distribution of weights for the athletes classified as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. the distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. there are 1,000 athletes in each classification. which of the following is the best description of a histogram of the weights of all 2,000 athletes?
Answers
A histogram of the weights of all 2,000 athletes would be a graph with two normal distributions, one for offense and one for defense.
The offense distribution would have a bell shaped curve centered at 200 pounds, with a range of 150-250 pounds. The defense distribution would have a bell shaped curve centered at 300 pounds, with a range of 250-350 pounds. Each of the distributions would have the same area, representing 1,000 athletes in each group. The total area of the histogram would represent the combined 2,000 athletes with weights ranging from 150-350 pounds. It is important to note that the histogram would not represent the exact weights of the athletes, but rather the relative frequency of each weight.
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By calculating partial derivatives, test each of the following equality:
Help me do the "b" in the picture.
Answers
Answer:
the equation is satisfied by the expression for z
Step-by-step explanation:
Given z = y/(y² -a²x²) you want to show that it satisfies a second-order partial derivative equation.
Partial derivatives\(\dfrac{\partial z}{\partial x}=2a^2xy(y^2-a^2x^2)^{-2}\\\\\dfrac{\partial^2 z}{\partial x^2}=(2a^2y)\dfrac{(y^2-a^2x^2)^2-2x(y^2-a^2x^2)(-2a^2x)}{(y^2-a^2x^2)^4}=\dfrac{2a^2y(y^2+3a^2x^2)}{(y^2-a^2x^2)^3}\)
and ...
\(\dfrac{\partial z}{\partial y}=\dfrac{(y^2-a^2x^2)-y(2y)}{(y^2-a^2x^2)^2}=-\dfrac{y^2+a^2x^2}{(y^2-a^2x^2)^2}\\\\\dfrac{\partial ^2z}{\partial y^2}=-\dfrac{(y^2-a^2x^2)^2(2y)-(y^2+a^2x^2)(2(y^2-a^2x^2)(2y))}{(y^2-a^2x^2)^4}=\dfrac{2y(y^2+3a^2x^2)}{(y^2-a^2x^2)^3}\)
We can define ...
q = 2y(y²+3a²x²)/(y²-a²x²)³
so the equation of (b) becomes ...
(a²q) - a²(q) = 0 . . . . . . true
The given expression for z satisfies the partial differential equation.
__
Additional comment
We used the power rule and the quotient rule for derivatives. Tedious, but not difficult.
please copy the picture or screenshot it then place the dots on the screen shot of the graph read the whole Question
Answers
The three points that are the solution set of the equation, x + 3y = -5, are shown in the graph below as: (-5, 0), (-2, -1), and (7, -4).
What is the Solution Set of the Equation of a Line?If a point is a solution to an equation of a line, it means the point lies on the line and its coordinate values will make the equation true if plugged into the equation.
Given the equation, x + 3y = -5, in slope-intercept form, it can be rewritten as y = -1/3x - 5/3.
This means that the line of this equation will have the following features:
The slope of the line = rise/run = -1/3
The y-intercept is -5/3.
The line is drawn in the graph as shown in the image below.
The solution set plotted on the line are: (-5, 0), (-2, -1), and (7, -4).
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simplify. 14r^2 - 8r^2 =
Answers
1. A ball is launched upward at 14 m/s from a platform that is 30 m high.
a. Find the maximum height the ball reaches.
Answers
Step-by-step explanation:
Initial velocity ,u= 14 m/s
a =_g
= 9.8 m/s
velocity at highest point,v=30 m/ s
=2as=v sqare _u square
=s= 35.99 m
Find the domain of the rational expression: 6-x/4x+20
Answers
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
Answers
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
please help will mark highest
Answers
Answer:
yes
Step-by-step explanation:
because in an right angle triangle,we have h²=p²+b²
here,29²=841(its the largest side h)
21²=441
20²=400
and 441+400=841
so,21²+20²=29²
The table represents a linear equation.
Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
y-6 = {(x - 2)
• y-6 = (x - 2)
y +6 = } (x + 2)
y+6= {(x + 2)
Answers
Answer:
see below
Step-by-step explanation:
Considering the last two table entries, we can find the slope of the line to be ...
Δy/Δx = (24 -14)/(10 -6) = 10/4 = 5/2
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For (h, k) = (-2, -6) and m = 5/2, this is ...
y -(-6) = 5/2(x -(-2))
y +6 = 5/2(x +2) . . . . . matches the last choice
Answer:
d is the right choice
Step-by-step explanation:
Can someone help me please!
Answers
Answer:
C
Step-by-step explanation:
B
because -8 is smaller than -9, i based it on yhe number line of integers
hoope it helps
It costs $8.28 for an 18 ounce jar of peanut butter. How much does it cost per ounce of peanut butter?
Answers
Answer:
8.28/18 = 0.46
46 cents
Step-by-step explanation:
Rotation - Question 5
Answers
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
Answers
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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If logx= -2, what is x?
Answers
DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
Do :
Answer the question correctly
Leave a positive Comment
Make sure you have reviewed it before submitting
Don't
Answer incorrectly
Be Rude to the community
Spam/Send links to inappropriate Websites
Answers
Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
GIVE HIME BRAINLIEST
Step-by-step explanation:
Find the equation of a line that passes through (5.3) and (4,5).
Answers
Answer:
y=-2x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-5)
m=2/-1
m=-2
y-y1=m(x-x1)
y-3=-2(x-5)
y=-2x+10+3
y=-2x+13
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Exponential and log Equations
1. 2log(2x)=7
Answers
i need help worth hellla pointsss it's due tonight : ,)
Answers
Answer:
Median household income | Frequency | Relative Frequency
30,000 - 39,999 2 2/51 or 3.921%
40,000 - 49,999 15 15/51 or 29.411%
50,000 - 59,999 21 21/51 or 41.176%
60,000 - 69,999 12 12/51 or 23.529%
70,000 - 79,999 1 1/51 or 1.960%
Total 51 51/51 or 100%
A. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions? B. In two or more complete sentences, justify your answer to A.
Answers
A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.
B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.
Are the two expressions given equivalent expressions?It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.
A. By evaluation; using the Distributive property; we have;
3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.
Also; 5(m - 2) = 5m - 10.
Therefore, the two expressions are equivalent.
B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.
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