All categories

3 years ago

Given: F(x) = 3x^2+1, G(x) = 2x - 3, H(X) = x Find F(x) + G(x) =

Mathematics

1 answer:

weqwewe [10]3 years ago

4 0

$F(x)+G(x)=3x^2+2x-2.$

Solution:

Given data: $F(x)=3x^2+1$ and $G(x)=2x-3$

To find F(x) + G(x):

Adding two functions which gives another function.

Substitute F(x) and G(x), we get

$F(x)+G(x)=(3x^2+1)+(2x-3)$

$=3x^2+1+2x-3$

$=3x^2+2x-3+1$

$=3x^2+2x-2$

$F(x)+G(x)=3x^2+2x-2$

Hence, $F(x)+G(x)=3x^2+2x-2.$

You might be interested in

A contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lot

Lana71 [14]

Hello,

Let's put the 6 houses on side: 6P9=9*8*7*6*5*4/6! = 84

For each choice there are 3! choices pour the other side

84*3!=504

7 0

3 years ago

Read 2 more answers

How do I change my username because it is stuck on the email. I will give Brainliest.

Aleonysh [2.5K]

Answer:

Stated below:

Step-by-step explanation:

You can't change your Brainly username unless you want to make a new account.

6 0

3 years ago

Read 2 more answers

Find the area (DO NOT label answers) 16 yd 6 yd 11 yd

-Dominant- [34]

Answer:

The area would be 48.

Step-by-step explanation:

7 0

2 years ago

How many hours did Diana work of she was paid $45.50

JulijaS [17]

I think it would be C because the equation is y=7x. y=7x is also equal to x=1/7y. If y=45.50, then you would have to divide y by 7, which would equal 6.5.

8 0

3 years ago

Read 2 more answers

35 POINTS AVAILABLE

aliina [53]

Answer:

Part 1) The length of each side of square AQUA is $3.54\ cm$

Part 2) The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

Part 1)

step 1

Find the radius of the circle S

The area of the circle is equal to

$A=\pi r^{2}$

we have

$A=25\pi\ cm^{2}$

substitute in the formula and solve for r

$25\pi=\pi r^{2}$

simplify

$25=r^{2}$

$r=5\ cm$

step 2

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

$SU=r=5\ cm$

Let

x------> the length side of the square

Applying the Pythagoras Theorem

$5^{2}=x^{2} +x^{2}$

$5^{2}=2x^{2}$

$x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm$

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Find the area of the larger circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}$

$1,296=2x^{2}$

$648=x^{2}$

$x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

7 0

3 years ago