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Karolina [17]
3 years ago
8

Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two v

alues.
A. The value of g(-2) is smaller than the value of g(4).

B. The value of g(-2) is the same as the value of g(4).

C. The values of g(-2) and g(4) cannot be compared.

D. The value of g(-2) is larger than the value of g(4).
Mathematics
2 answers:
fiasKO [112]3 years ago
7 0
G(x) = -3x + 4
g(-2) = -3 x (-2) + 4 = 6 + 4 = 10
g(4) = -3 x 4 + 4 = -12 + 4 = -8

Therefore, D is the correct answer.

MissTica3 years ago
7 0

Answer:

D. The value of g(-2) is larger than the value of g(4).

Step-by-step explanation:

Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).

To find : Choose the statement that is true concerning these two values.

Solution : We have given that

g(x) = -3x + 4

g (-2) = -3 ( -2) + 4.

g (-2) = 6 + 4

g (-2) = 10 .

Now,

g (4) = -3 ( 4) + 4.

g (4) = -12 +4 .

g (4) = -8.

g (-2) > g (4)

10 > -8 .

Therefore, D. The value of g(-2) is larger than the value of g(4).

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<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

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<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

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<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

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<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

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