All categories

3 years ago

F(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Given:

The functions are

$f(x)=-5x^2+4x-9$

$g(x)=8x^2-3x-4$

To find:

The value of (f+g)(x).

Solution:

We know that,

$(f+g)(x)=f(x)+g(x)$

Putting the given functions, we get

$(f+g)(x)=-5x^2+4x-9+8x^2-3x-4$

On combining like terms, we get

$(f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)$

$(f+g)(x)=3x^2+x-13$

Therefore, the required function is $(f+g)(x)=3x^2+x-13$ .

You might be interested in

Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....

Vaselesa [24]

Answer:

217,2 m

Step-by-step explanation:

Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:

1.-El área de la finca es:

A = L²

Y el perimetro de un cuadrado es P = 4*L

Entonces

P = 4 * 54,3

P = 217,2 m

3 0

3 years ago

The savings in a bank account can be modeled using S = 1250e^0.45t, where t is the number of years the

morpeh [17]

Using the given exponential function, it is found that it will take 1.5 years for the amount of savings to double from the initial amount deposited of $1250.

<h3>Exponential function:</h3>

The exponential function that models the savings in the bank account is given by:

$S(t) = 1250e^{0.45t}$

In which t is the time in years that the money has been in the account.

The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:

$S(t) = 1250e^{0.45t}$

$2500 = 1250e^{0.45t}$

$e^{0.45t} = \frac{2500}{1250}$

$e^{0.45t} = 2$

$\ln{e^{0.45t}} = \ln{2}$

$0.45t = \ln{2}$

$t = \frac{\ln{2}}{0.45}$

$t = 1.5$

It will take 1.5 years for the amount of savings to double from the initial amount deposited of $1250.

To learn more about exponential functions, you can take a look at brainly.com/question/14855561

8 0

3 years ago

Which is greater √10 or 3.2

Vinvika [58]

If you find the square root of 10, you can see it is 3.16. So, 3.2 is greater than the square root of 10.

7 0

3 years ago

A section of a boardwalk is made using 15 boards. Each board is 914914 inches wide. The total width of the section is 144 inches

xeze [42]

15 times 9.25 = 138.75 inches.
That leaves

144-138.75 = 5.25 inches for spaces.
Between the 15 boards are just 14 spaces, however.
So divide 5.25 by 14 and get
3/8" for each space.
Answer by Cromlix(4300) (Show Source):You can put this solution on YOUR website!
Hi there,
14 boards each 9 1/4 inches wide.
14 x 9 1/4 = 138 3/4 inches
144 inches - 138 3/4 inches

= 5 1/4 inches
Spaces between 14 boards
= 13 spaces.
5 1/4 / 13 = 2/5 of an inch.
Hope this helps. :-)

8 0

3 years ago

Read 2 more answers

F(x)=4x^2 and g(x)=-8x^2+4x-4, find (f+g)(x) and (f+g)(-3)

kondaur [170]

Answer:

f(x)=4x^2 and g(x)=-8x^2 + 4x - 4

(f+g)(x) = -8x^2 + 4x - 4 + 4x^2 = -4x^2 + 4x - 4 = -4(x^2 -x + 1)

(f+g)(-3) = -4( -3^2 -(-3) + 1) = -4 x 13 = -52

Hope this helps!

6 0

3 years ago