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3 years ago

If f(x)=3x+7 and g(x)=x^2+4, find f(g(-5))

Mathematics

1 answer:

Charra [1.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Given f(g(-5)) means that you take the number, -5, and substitute it into g(x) first. The answer provided from that equation will then be the number to be substituted in f(x).

x^2 + 4

-5^2 + 4

25 + 4 [It's positive because -5 x -5 cancels out to make a positive]

29 = g(x), therefore, this is the new number to be substituted for f(x)

3x + 7

3 (29) + 7

87 + 7 [to get 87, multiply 3 by 29]

Therefore, your final answer is 94.

Hope this helps!

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One of the factory’s profits over time can be modeled with the polynomial p(x)=2x6+123.5x4+389x2−25x5−304.75x3−237.25x+53.5.

Anettt [7]

p(x)=2x^6+123.5x^4+389x^2−25x^5−304.75x^3−237.25x+53.5

put in decreasing order

p(x)=2x^6−25x^5+123.5x^4−304.75x^3+389x^2−237.25x+53.5.

the leading coefficient is the number in front of the largest exponent

leading coefficient:2

degree is the power on the largest exponent

degree:6

3 0

3 years ago

I'm stuck on this question, any ideas? thanks

True [87]

Answer:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36$

Step-by-step explanation:

So we have the limit:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}$

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})$

Distribute:

$=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}$

Simplify the numerator:

$=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}$

Both the numerator and the denominator have an x. Cancel:

$=\lim_{x \to 0} \frac{-1}{(6+x)(6)}$

Direct substitution:

$= \frac{-1}{(6+0)(6)}$

Simplify:

$=-1/36$

And that's our answer.

And we're done!

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3 years ago

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dezoksy [38]

Answer:

Step-by-step explanation:

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3 years ago

Round 59.6487 to 2 decimal places?

Marysya12 [62]

Answer:

Step-by-step explanation:

round 59.6487 to 2 decimal places=

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3 0

2 years ago

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Is the enlargement or a reduction? Find the scale factor of the dilation.<br> Explain

malfutka [58]

Good evening ,

Answer:

In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)

and also the scale factor = OA’/OA = 2/6 = 1/3

since -1 < 1/3 < 1 then it’s a reduction.

Step-by-step explanation:

Look at the photo below for more details (notice OA’ and OA).

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3 years ago