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tatyana61 [14]
3 years ago
8

What is f(g(x)) when f(x) = x2 + 5, and g(x) = 10 - 5x?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

D

Step-by-step explanation:

To obtain f(g(x)) substitute x = g(x) into f(x), that is

f(10 - 5x)

= (10 - 5x)² + 5 ← expand (10 - 5x)²

= 100 - 50x - 50x + 25x² + 5 ← collect like terms

= 25x² - 100x + 105 → D

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F(x)=−x 2−3x+3 find f(7)
lidiya [134]

Answer:

22

Step-by-step explanation:

because i swiched the x's to the 7 and multipled

4 0
2 years ago
Read 2 more answers
PLZ I NEED HELP NOW THANKS
xeze [42]

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

7 0
3 years ago
If a football team has a 90% chance of making a field goal for 3 points and a 35% chance of making a touchdown for 7 points, fin
sertanlavr [38]

Answer:

(35/100)×7

24.5

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5 0
3 years ago
Graph 4x^2-4x-8/2x-2
Leto [7]

\dfrac{4x^2-4x-8}{2x-2}=\dfrac{4\left(x^2-x-2\right)}{2(x-1)}\\\\=2\cdot\dfrac{(x-2)(x+1)}{x-1}\qquad\text{no factors cancel}\\\\=2x-\dfrac{4}{x-1}\qquad\text{curve with slant, vertical asymptotes}

6 0
3 years ago
Two numbers have these properties:
almond37 [142]

Answer:

12\ and\ 30

Step-by-step explanation:

Given both numbers are greater than 6

Their HCF is 6

Their LCM is 60

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.

Let us say those number are a and b

a\times b=6\times 60\\a\times b=360

So, the product of those number is 360

Let us factorize 360

360=1\times 2\times 2\times 3\times 5\times 6

It is given that number should be greater than 6

The possible pairs of number are (10,36)\ and\ (12,30)

But only (12,30) has LCM as 60.

So those numbers are 12\ and\ 30

5 0
3 years ago
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