Identify the angle pair?

Mathematics

1 answer:

natta225 [31]4 years ago

6 0

Answer:

Alternate Exterior Angles

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

3 years ago

Suppose a study estimated that 63% of the residents of a community (with an

Anvisha [2.4K]

Answer:

Answer choice A(57%)

Step-by-step explanation:

The margin of error is 7%. This means the 63% could either 7% too high or 7% too low. Answer choice A is the only answer choice that is within the range of percents that it could possibly be(between 56% and 70%). Answer choice B is 10% off, 3% out of the range. Answer choice C is 25% off, 18% out of the range. Answer choice D is 32% off, 24% out of the range. Hope this helps. :)

3 0

4 years ago

Find the volume of this prism. 9 cm 12 cm 6 cm Help pls

timama [110]

Answer:

324 cm^3

Step-by-step explanation:

Volume = l x w x h / 2

V = 12 x 6 x 9 / 2

V = 648 / 2

V = 324 cm^3

8 0