If (x) = x+8 and g(x) = -4x-3, find (f+ g)(x).

Mathematics

1 answer:

Ede4ka [16]3 years ago

8 0

Answer:

Answer=B

(f+g)(x)=-3x-5

Step-by-step explanation:

f(x)=x+8.

g(x)=-4x-3.

(f+g)(x) means f(x)+g(x),So

(x+8)+(-4x-3)

(add all same terms together)

=(x+(-4x))+(8+(-3))

=-3x+5

so,

(f+g)(x)=-3x+5

You might be interested in

Give your answer in its simplest form.

andrew-mc [135]

Answer:

Is the question to develop the equation for the straight line shown?

If so, y = (3/4)x + b

Step-by-step explanation:

Look for an equation with the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Calculate Slope using the Rise/Run.

Pick any two points. I chose (-4,0) and (4,6).

Going from left to right:

Rise = (6 - 0) = 6

Run = (4 - (-4)) = 8

Slope is Rise/Run, 6/8 or 3/4

So we have: y = (3/4)x + b

We can see that the y-intercept, b, is 3 (the value of y when x = 0).

The full equation becomes : y = (3/4)x + 3

3 0

2 years ago

Explain how to use a model to find the quotient. 2 1/2 divided by 2

dedylja [7]

00 o = 2 1/2
— 00 o
2 — = 1 — = .25
2 2

00=2
o=1/2

2/2=1
.5/2=.25

Final answer = 1.25 or 1 1/4

5 0

3 years ago

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.

brilliants [131]

Answer:

2 $\frac{1}{2}$ litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4 $\frac{1}{2}$ litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4 $\frac{1}{2}$ litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4 $\frac{1}{2}$ litres

5 juice bottles ===> x

∴x = $\frac{5 * 4\frac{1}{2} }{9} litres$