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Marianna [84]
4 years ago
10

If C(x) = 4x^2 - 3, find the following (a) C(0) (b) C (-1) (c) C (-2) (d) C (-3/2)

Mathematics
1 answer:
NeTakaya4 years ago
3 0

Step-by-step explanation:

C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6

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Figure TUVS is a parallelogram.
poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

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5 0
2 years ago
HELP PLSSS I DONT REMEMBER!!
Tatiana [17]

Answer:

8x-31 = 2x+92

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal

8x-31 = 2x+92

8 0
3 years ago
Beth is making a rope ladder.each step of the ladder is 2 1/3 feet wide.Beth has a rope that is 21 feet long.how many steps can
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Answer:

Beth can make 9 2 1/3 foot steps

Step-by-step explanation:

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7 0
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Answer:

Step-by-step explanation:

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Money needed = 815 - 143 = $ 672

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3 years ago
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nexus9112 [7]

Answer:

I believe the answer 16

Step-by-step explanation:

All you have to do is count.

8 0
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