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il63 [147K]
3 years ago
10

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

Answer:

\large\boxed{B.\ (f-g)(x)=-x-15}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15

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If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree)
Naddik [55]

Answer:

57.5 degrees

Step-by-step explanation:

Assuming this is a triangle

a is adjacent is ∠B

b is opposite of ∠B

Use the inverse tangent equation: tan^{-1} (11/7)

This equals to 57.52880771

3 0
3 years ago
What is obtained by squaring the standard deviation?
anastassius [24]
<h2>Answer:</h2>

Variance

<h2>Step-by-step explanation:</h2>

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma \sigma, while the variance measures how far a set of  numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as \sigma^{2}

3 0
3 years ago
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

--------------------------------------

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
3 years ago
Solve for y.<br> 2 (y-2) = 4y + 8 - 2 (-4y - 3)
Lubov Fominskaja [6]

Answer:

-1.5

Step-by-step explanation:

  • 2 (y-2) = 4y + 8 - 2 (-4y - 3)
  • 2y-4=4y+8+8y+6
  • 2y-4=12y+14
  • -4-14=14y-2y
  • -18=12y
  • y=-18/12
  • y=-1.5
5 0
3 years ago
Read 2 more answers
PLS PLS PLS HELP Honors 9th Grade Math!!!!
netineya [11]

Answer:

21=x ( alternate angles are equal)

3 0
3 years ago
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