Answer:
x = -6
y = 2
Step-by-step explanation:
1. Approach
x - 3y = -12
4x + 6y = -12
In this problem, it would likely be easier to use elimination, but since the problem specifically says that one must use substitution, substitution will be used. Substitution is when one solves one of the equations for a variable, similar to solving a literal equation. The one will substitute in the value of the variable into the other equation and solve for the other varibale. Then one will finally back substitute in that value of the other variable to find the value of the first variable, hence solving the equation.
2. Solve equation 1
x - 3y = -12
Solve the literal equation with inverse operations;
x - 3y = -12
+3y + 3y
x = 3y - 12
3. Substitute the answer into the second equation
4x + 6y = -12
x = 3y - 12
4 ( 3y - 12 ) + 6y = -12
Distribute;
12y - 48 + 6y = -12
Simplify;
12y - 48 + 6y = -12
18y - 48 = -12
Inverse operations;
18y - 48 = -12
+48 +48
18y = 36
/18 /18
y = 2
4. Backsolve for x
Substitute the value for y back into the equation for x and solve
x = 3y - 12
y = 2
x = 3(2) - 12
x = 6 - 12
x = -6
how many zeros does f have? explain how you know
-6+6y^2
factorize the expression
Answer:
6(-1+y∧2)
Step-by-step explanation:
Which of the following ratios are equivalent to 124:20? plsss anwer right asap plss im wasted all my points !!!!!!!!!!!!:(
Answer:
It is 31:5
Step-by-step explanation:
Hope this helped have an amazing day!
Please help me asap
Answer:
She walked 1.5 miles, then 0.75 miles. Hence 1.5 + 0.75= 2.25 or 2 and 1/4 a mileFind the solution of the system of equations.
7x + 14y = 21
- 2 + 7y = 6
Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category Value Compensation of employees $196.2 U.S. exports of goods and services 19.8 Consumption of fixed capital 11.8 Government purchases 59.4 Taxes on production and imports 14.4 Net private domestic investment 52.1 Transfer payments 13.9 U.S. imports of goods and services 16.5 Personal taxes 40.5 Net foreign income 2.2 Personal consumption expenditures 219.1 Statistical discrepancy 0.0 Instructions: Round your answers to one decimal place. a. GDP = $ billion b. NDP = $ billion c. National Income = $ billion
Answer:
(a) GDP = $333.9 billion
(b) NDP = $322.1 billion
(c) NI = $307.7 billion
Step-by-step explanation:
(a) Compute GDP
This can be computed using the following formula:
GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)
Substituting the values into equation (1), we have:
GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9
Since all figures are in billions, we have:
GDP = $333.9 billion
(b) Compute NDP
This can be computed using the following formula:
NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)
Substituting the values into equation (2), we have:
NDP = $333.90 - $11.8 = $322.1
Since all figures are in billions, we have:
NDP = $322.1 billion
(c) Compute NI
This can be computed using the following formula:
NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)
Substituting the relevant values into equation (3), we have:
NI = $322.1 - $14.4 - $0.0 = $307.7
Since all figures are in billions, we have:
NI = $307.7 billion
need the answer pleas thx1
Answer:
n = 1.42857
Step-by-step explanation:
if a2 is -140 then somewhere between is -100. 3/7 is equal to 0.42857142857 in which it is 3/7 from -70 to -140 in a number range of 1 to 2. 1.42857142857 is your best bet as your answer.
Help me solve please
Choose the best graph that represents the linear equation: 3y + 9x = 21
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answer:
c. Graph C
I hope this helps!
Now check your predictions. In GeoGebra, translate quadrilateral ABCD 7 units up, 1 unit down, 4 units to the right, and 3 units to the left. Enter the coordinates for the vertices of quadrilateral A'B'C'D' in the table. Paste a screen capture of the images you created below the table.
Answer:
Step-by-step explanation:
please help with this question i have 1 hour to finish this test
Answer:
29
Step-by-step explanation:
2x - 14 = x + 15
2x - x = 15 + 14
x = 29
check
44 = 44
Answer:
pretty sure it's 29
Step-by-step explanation:
equation: 2x-14=x+15
how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.
I might be wrong tho.
To go on a summer trip, Kareem borrows 400$. He makes no payments until the end of 4 years when he pays off the entire loan. The lender charges simple interest at an annual rate of 6%.
Calculate the federal income taxes. In 1980, the federal income tax was 14 percent on incomes between $2,300 and $3,400 per year, 16 percent
on incomes between $3,400 and $4,400 per year, and 21 percent on incomes between $8,500 and 10,800 per year. In 1980, you made $3,000.
What was your income tax this year?
O $42.00
O $420
$480
$630
Answer: 420
Step-by-step explanation: 14 percent of 3000 is 420
Correct Answer: $420
The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.
Answer:
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\
A fly is at (1,2,1)
Generally the direction of fly is given by
[tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]
[tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]
Mathematically solving for the vector direction
[tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]
[tex]|v|=\sqrt{6}[/tex]
[tex]u=- \frac{v}{|v|}[/tex]
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Therefore this the direction which should be taken to cool down soonest
Help? ^-^ WILL GIVE BRAINLIEST!
What is the slope of a line through (1, 3) and (-2, 2)?
Answer:
The slope of the line is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It's given the points (1,3) and (-2,2). Let's calculate the slope:
[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]
Calculating:
[tex]\displaystyle m=\frac{-1}{-3}[/tex]
[tex]\displaystyle m=\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{1}{3}[/tex]
If a system of two linear equations has no solutions, which of the following statements describes the graph of the two corresponding lines in the xy-plane?
a. The lines are coinciding
b. The lines intersect at only one point
c. The lines are parallel
d. The lines are perpendicular
Explain why you picked your answer:
From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.
Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.
Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.
Learn more about equations on:
https://brainly.com/question/25678139
A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.
Answer:
B. rate of water flow.
Step-by-step explanation:
Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.
Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.
is -12•(-8) negative vaule
Answer:
Yes i think its -96,
if thats what your asking
i need help with a function
Answer:
one: 9
Two: D
Step-by-step explanation:
One
The symbol used is x≥8 so 8 is included in the function part. That would mean that F(x) = 9
Two
The value you need to use is -4x + 3. That's because -2≤x and the symbol ≤ makes - 2 inclusive.
-4(-2) + 3 = 8 + 3 = 11
3a
The function is decreasing over -4x + 3
It goes from 11 to -29 roughly. That means it's going from a positive to negative number. Definitely decreasing
3b
The function is a constant when x≥8. The value of the function is 9 no matter what x is.
3c
The function is increasing from - 2x to 8 which is going from -9 to 11
find the total surface area of a right cylinder whose base is 8 inches and whose altitude is 12 inches. round to the nearest square inch
Answer:56cm
Step-by-step explanation:
what’s the correct answer, please
Answer:
D?
Step-by-step explanation:
HELP EDG 2020!!!!
Which half of the unit circle satisfies the trigonometric inequality cos Ø >0? Assume that ø is the angle made by the
positive x-axis and a ray from the origin.
O the top half
O the bottom half
O the right half
O the left half
Answer:
the right half
Step-by-step explanation:
We know that cosine is a pair function.
This means that:
Cos(a) = Cos( -a)
We also know that:
Cos(pi) = 0
then:
Cos(-pi) = 0
pi and -pi are located in the y-axis, so from this we can know that the cosine function will be always positive on the right side, or in the left side, we can discard the other two options.
Now, we also know that cos(0) = 1.
And:
-pi < 0 < pi
So the two zeros are at the y-axis, and we know that cos(0) is positive (the angle 0 would be on the positive side of the x-axis, at the right), then all the right side must be positive.
Then the correct option is:
the right half
Answer:
C - The right half
Step-by-step explanation:
Just took the quiz on edge
what expression is d squared
An antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.
3 ft = 1 yd
Answer:
0.01
Step-by-step explanation:
there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01
Compute the coefficient of determination. Round your answer to four decimal places. A regression equation is obtained for a set of data points. It is found that the total sum of square is 103.5, the regression sum of squares is 89.8, and the error sum of squares is 13.7.
a. 0.1324
b. 0.1526
c. 0.8676
d. 1.1526
Answer:
0.8676
Step-by-step explanation:
Given that :
Total Sum of Square (SST) = 103.5
Regression Sum of Square (SSR) = 89.8
Erroe Sum of Square (SSE) = 13.7
The Coefficient of determination (R²) :
R² = SSR / SST
R² = 89.8 / 103.5
R² = 0.8676328
R² = 0.8676
Use proportional reasoning to determine the value of a in the proportion shown below.
a=1
a=25
a=10
a=15
Answer: a = 10
Step-by-step explanation:
3/5 = a + 5/25
Multiply both sides by 25 to get rid of it:
3/5 * 25 = 25(a + 5) /25
15 = a + 5
a = 15 - 5
a = 10
Need help 15 points
Answer:
correct answer is d....
Answer:
d (22)^40 +(-7)^40 its very easy
Find the greatest common factor of 90, and 135
Answer:
45
Step-by-step explanation:
Do prime factorization and multiply the factors the two numbers have in common.
0.03 + 6/10 is equal , greater or less than 0.30 +6/100
Answer: greater 6/10 is greater.
6/10=0.60
6/100=0.060.
hope this helps!
Step-by-step explanation:
The function below shows the revenue for t-shirt sales. For every $1 decrease in price, 5 more t-shirts can be sold.
Part A: What is the maximum of this graph and what does the maximum represent?
Part B: What is the y-intercept of the graph? what does it represent?
Part C: Does the graph have zerosolution(s)? If so, identify the zero and what it represents?
Answer:
Part A: The maximum of the graph is the highest point which is at (2.5, 2531.25). Since xx is the decrease in price and yy is the profit, the maximum of (2.5, 2531.25) means that the maximum profit is $2531.25 and occurs when the price of the t-shirts is decreased by $2.50.
Part B: The yy-intercept is when the graph intersects the yy-axis which occurs at about (0, 2500). The yy-intercept then means that the profit is $2500 if the price of the t-shirts does not decrease.
Part C: The solution of a graph is its xx-intercept(s). The graph crosses the xx-axis at (25,0) so this point is the solution. The solution means that the profit will be $0 if the price is decreased by $25.
Step-by-step explanation: