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Lera25 [3.4K]
3 years ago
15

The Smith family is driving to a vacation spot. The number of miles they have left is 540-60x, where x represents the number of

driving hours. What does 60x represent?
a. the number of miles driven after 1 hour
b. the total distance to the state park
c. the number of miles driven after x hours
Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?
grigory [225]

Option B: 6x^2-10x+19 is the correct answer

Step-by-step explanation:

Given functions are:

f(x) = 3x^2-5x+13\\g(x) = 2x-7

We have to find g(f(x))

So,

g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19

Hence,

Option B: 6x^2-10x+19 is the correct answer

Keywords: Functions, Composition

Learn more about functions at:

  • brainly.com/question/5500978
  • brainly.com/question/550017

#LearnwithBrainly

7 0
3 years ago
Complete the steps: 4/9 ÷ 1/2
Alexxandr [17]

Answer:

4/9 times 2/1 and 8/9

Step-by-step explanation:

ya know its called trust? :) this is right. F edgenuity

5 0
3 years ago
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3/4 times the amount of 20
klio [65]

Answer:

= { \rm{ \frac{3}{4}  \times 20}} \\  \\  = { \rm{ \frac{60}{4} }} \\  \\  = { \boxed{ \tt{ \:  \: 15 \:  \: }}}

8 0
3 years ago
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A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
3 years ago
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cestrela7 [59]
There’s a whole bunch going on i don’t know what to help you with
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