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3 years ago

11

Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

1 answer:

Misha Larkins [42]3 years ago

7 0

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

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A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

Oksanka [162]

The ordered pairs would be,

(1, 8.5)
(2, 8)
(3, 7.5)
(4,7)
(5, 6.5)
(6, 6)

I got the ordered pairs from the question since it stated that the length of the candle decreased .5 every hour. I just corresponded the hour to the length of the candle.

I hope this helped!

Brainliest answer is always appreciated!

3 0

3 years ago

Read 2 more answers

If f(x)=-x^2– 7x – 22, find f(-5).<br><br> A. -82<br> B. -32<br> C. -12<br> D. 12<br> E. 38

DaniilM [7]

Answer:

E. 38

Step-by-step explanation:

f(-5) means to plug in -5 for x in the given equation

$f(-5)=(-5)^2-7(-5)-22=25+35-22=38$

3 0

3 years ago

What are the solutions of the equation?

yKpoI14uk [10]

Answer:

Option (b) is correct.

The solution of the quadratic equation $x^2+4x=21$ is -7 and 3

Step-by-step explanation:

Consider the given quadratic equation $x^2+4x=21$

This can be rewritten as, $x^2+4x-21=0$

We can solve the quadratic equation using middle term splitting method,

4x can be written as 7x-3x , we get,

$\Rightarrow x^2+4x-21=0$

$\Rightarrow x^2+7x-3x-21=0$

Taking terms common, we get,

$\Rightarrow x(x+7)-3(x+7)=0$

Thus, $\Rightarrow (x-3)(x+7)=0$

Thus, we get (x-3)= 0 or (x+7)= 0

this gives x = 3 or x = -7

Thus, the solution of the quadratic equation $x^2+4x=21$ is -7 and 3

7 0

3 years ago

Scott wants to tip his taxi driver 20%. If his commute costs $15 why is the total cost?

KengaRu [80]

The

Total

Cost

Would

Be

$18

6 0

3 years ago

Read 2 more answers

A web page designer creates an animation in which a dot on a computer screen has a position of r⃗ =[ 4.2 cm +( 2.5 cm/s2 )t2]i^+

tankabanditka [31]

we are given

$r(t)=(4.2cm+(2.5cm/s^2)t^2)i+(5.5cm/s)tj$

Firstly, we will plug t=0 and t=2

Calculation of r(0):

$r(0)=(4.2cm+(2.5cm/s^2)*0^2)i+(5.5cm/s)*0j$

$r(0)=4.2i+0j$

Calculation of r(2):

$r(2)=(4.2cm+(2.5cm/s^2)*2^2)i+(5.5cm/s)*2j$

$r(2)=(4.2+5)i+(11)j$

$r(2)=(9.2)i+(11)j$

Average velocity:

now, we can use formula

$v=\frac{r(2)-r(0)}{2-0}$

now, we can plug values

$v=\frac{((9.2)i+(11)j)-(4.2i+0j)}{2-0}$

$v=\frac{5i+11j}{2-0}$

$v=(2.5cm/s) i+(5.5cm/s)j$ ..............Answer

7 0

3 years ago