All categories

3 years ago

If f(x)=2x+7 and g(x)=11x-4, find (f+g)x.

Mathematics

1 answer:

klemol [59]3 years ago

7 0

Answer:

(f+g)(x) = 13x + 3

Step-by-step explanation:

Rewrite f(x)=2x+7 and g(x)=11x-4 in columns, as follows:

f(x)=2x+7

+g(x)=11x-4

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

Now add each column separately.

f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")

2x + 11x = 13x, and, finally, 7-4 = 3.

Therefore,

f(x)=2x+7

+g(x)=11x-4

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

(f+g)(x) = 13x + 3

You might be interested in

Higher interest rate mortgage loans made to people with poor credit

Mrrafil [7]

I don't know what you have to do but I'm trying to do my first answer srry

6 0

2 years ago

Read 2 more answers

Which statements describe the graph of y = 3x - 1+2? Select three options.

TiliK225 [7]

Answer:

your answer is A,D,and E

verified by e2020 teacher

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work

sertanlavr [38]

<h2>Answers:</h2>

Solving for x on the question - 2x + 3y = 32 |

Answer : x = $\frac{-3}{2}$ ⁻y + 16

Solving for y on the question - 2x + 3y = 32 |

Answer : y = $\frac{-2}{3}$ x + $\frac{32}{3}$

Solving for x on question - 5x - 4y = -81 |

Answer : x = $\frac{4}{5}$ y + $\frac{-81}{5}$

Solving for y on question - 5x - 4y = -81 |

Answer : y = $\frac{-5}{4}$ x + $\frac{81}{4}$

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

(Solving for x on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

$\frac{2x}{2}$ = $\frac{-3y+32}{2}$

x = $\frac{-3}{2}$ ⁻y + 16

(Solving for y on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

$\frac{3y}{3}$ = $\frac{-2x+32}{3}$

y = $\frac{-2}{3}$ x + $\frac{32}{3}$

(Solving for x on question - 5x - 4y = -81)

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

$\frac{5x}{5}$ = $\frac{4y-81}{5}$

x = $\frac{4}{5}$ y + $\frac{-81}{5}$

(Solving for y on question - 5x - 4y = -81 )

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

$\frac{-4y}{-4}$ = $\frac{-5x-81}{-4}$

y = $\frac{-5}{4}$ x + $\frac{81}{4}$

5 0

3 years ago

Find the solution of this system of equations.

Elenna [48]

-4x + y = -25 y = 4x - 25

-6x - 6y = 0 

-6x - 6(4x - 25) = 0
-6x - 24x + 150 = 0
-30x + 150 = 0
-30x = -150
x = 5

y = 4(5) - 25
y = 20 - 25
y = -5

(5, -5)

8 0

3 years ago

What number is 150 more than the product of 5 and 4892

stiv31 [10]

5×4892=24460+150=24610

3 0

3 years ago