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3 years ago

18. Write an expression to represent the area of the shaded region in simplest form. Please help it's due tomorrow

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

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If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)

agasfer [191]

Answer:

g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>

h(x) = (f ο g)(x)
h(x) = $\sqrt{x+5}$
f(x) = $\sqrt{x+2}$

g(x)

<h3>Solution</h3>

(f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

$\sqrt{x+5}$ = $\sqrt{g(x)+2}$
x + 5 = g(x) + 2
x + 3 = g(x)
g(x) = x + 3

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3 years ago

Jordan is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and

kow [346]

Answer:

$19

Step-by-step explanation:

11+8 because every hour is =4 dollars and he was there for two hours which gave him 8 so 11+8=19 Jordan has to pay 19 dollars

8 0

3 years ago

4 + 2x2(3x-5)<br> number of terms

igor_vitrenko [27]

3, assuming 2x2 is 2x squared, u will get
4 + 6x3 - 10x2

So 3 terms

7 0

3 years ago

How do you factor this?

lubasha [3.4K]

Answer:

Step-by-step explanation:

What two numbers multiply to equal -48, but add to equal -2? The method is multiplying a*c and seeing if they add up to b. Those two numbers are -8 and +6.

$6x^2-2x-8=6x^2-8x+6x-8$

Now, factor by grouping

$(6x^2-8x)+(6x-8)=2x(3x-4)+2(3x-4)\\(2x+2)(3x-4)$

3 0

2 years ago

(20 PTS)<br> 4x-(3x-2x)=3(2x-1) <br> A. 0<br> B. 1<br> C. Infinitely Many

Mkey [24]

4x-(3x-2x)=3(2x-1)

4x - 3x + 2x = 6x - 3

3x = 6x - 3

-3x = - 3

x = 1

Answer

B. 1

3 0

3 years ago