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3 years ago

If f(x) = x2 + 1 and g(x) = 5x – 3, what is f(g(x))?

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

5x2 - 10

Step-by-step explanation:

F(5x - 3)

(5x - 3)2 + 1

5x2 - 9 + 1

5x2 - 10

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Write as a product: a2+b2–2ab –25

kozerog [31]

Answer: -a2 - 2ab - b2 + 25 =

-1 • (a2 + 2ab + b2 - 25)

Final result :

-a2 - 2ab - b2 + 25

Step-by-step explanation:

3 0

3 years ago

Please help me solve this!!

horsena [70]

Answer: 18

Step-by-step explanation: Simplify 2^3 to 8. 3/4 (8+4^2). Simplify 4^2 to 16. 3/4 (8+16). Simplify 8+10 to 24. 3/4*24. Use this rule: a/b * c = ac/b. Simplify 3*24 to 72. 72/4.

Hope this helps!

8 0

3 years ago

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

UNO [17]

Answer:

$\frac{225}{16} cm/s$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=25cm^3/s$

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid= $\frac{1}{3}lwh=\frac{1}{3}l^2h$

$\frac{l}{h}=\frac{4}{12}=\frac{1}{3}$

$l=\frac{1}{3}h$

Substitute the value

$V=\frac{1}{27}h^3$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}$

Substitute the values

$25=\frac{1}{9}(4^2)\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s$

5 0

3 years ago

Which of the following numbers is the greatest? 2.5 -2.5 0 -7

vodka [1.7K]

Answer:

2.5

Step-by-step explanation:

2.5 is the only positive number amongst the options, so it must be the greatest.

4 0

2 years ago

Read 2 more answers

How is 0.09 smaller than 0.1

denis-greek [22]

Answer:

$0.09 < 0.1$

Step-by-step explanation:

Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.

Hope this helps.

5 0

3 years ago