Answer:
- 18x - 9 = 72
- 3(6x - 3) = 72
- x = 45
Step-by-step explanation:
Apply the distributed property:
- Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
- Re-write the equation: 18x - 9 = 72
- 18x - 9 = 72 is an option listed, so that's one of the answers.
See the other options:
- Another option that looks like it could be the answer is 3(6x - 3) = 72
- Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
- This is the same as what we got above, so it is also an answer.
Solve:
- Add 9 to each side, so it now looks like this: 18x = 81
- Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
- x = 45 is an option listed, so that's one of the answers.
I hope this helps!
Which statement best compares the maximum value of the two functions?
A. It is equal for both functions
B. It is 3 units higher for f(x) than g(x)
C. It is 3 units lower for f(x) than g(x)
D. It is 1 unit higher for f(x) than g(x)
Solution : D. It is 1 unit higher for f(x) than g(x)
Given:
f(x) = −5x^2 + 9
g(x) is 0 0 1 4 2 8 3 4 4 0
We make a table for f(x) as well. We use same x vales given in g(x)
We plug in x values and find f(x)
x -----> g(x) ----> f(x)
0 -----> 0 ---->9
1 -----> 4 ----> 4
2 -----> 8 ---->-11
3 -----> 4 ---->-36
4 -----> 0 ----> -71
From the table we can see that maximum value of g(x) is 8 and maximum value of f(x) is 9 that is 1 unit higher for f(x) than g(x)
Answer is option D.
Considering the given linear function, the inequality graphed is:
B. 
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:
m = (4 - 2)/(2 - 1) = 2.
Thus the equation of the line is:
y = 2x + 2.
The left-side of the line is the values above the line, hence the inequality is:
B. .
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
v= -2
Step-by-step explanation:
10+2v=−6(3v+5)
Step 1: Simplify both sides of the equation.
10+2v=−6(3v+5)10+2v=(−6)(3v)+(−6)(5)(Distribute)10+2v=−18v+−302v+10=−18v−30Step 2:
Add 18v to both sides.
2v+10+18v=−18v−30+18v20v+10=−30
Step 3:
Subtract 10 from both sides
.20v+10−10=−30−1020v=−40
Step 4:
Divide both sides by 20.20v20=−4020v=−2
Answer:v=−2
