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2 years ago

F(x) =3x; g(x) = 4x^2 +1

Mathematics

1 answer:

lord [1]2 years ago

8 0

Answer:

Answer: d 12x^3 + 3

Step-by-step explanation:

This is a composite function. Just insert g(x) into the x of f(x)

f(x) = 3x

3(4x^2 + 1)

Distribute the three

3(4x^2 + 1)

12x^3 + 3

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A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc

seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

$t=\frac{d}{s}$

we have

$d=963\ mi$

$s=60\ mi/h$

substitute

$t=\frac{963}{60}=16.05\ hours$

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

$30\ minutes=0.50\ hours$

$16.05+0.50=16.55\ hours$

Convert to minutes

$16.55\ h=16.55(60)\ min=993\ min$

step 3

Remember that

$8 p.m=20:00\ hrs$

Convert to minutes

$20(60)=1,200\ min$

Subtract 993 minutes from 1,200 minutes

$1,200-993=207\ min$

Convert to hours+minutes

$207\ min=207/60=3.45\ hours$

$0.45\ h=0.45(60)=27\ min$

$3\ h+27\ min$

$00:00 + 03:27=03:27\ am$

therefore

The train need to leave Portland at 03:27 am

8 0

3 years ago

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inc

Elan Coil [88]

$\sf Cylinder ~volume = \pi r^2 h \\ \\ v = \pi (4)^2(9) \\ \\ v=\pi (16)(9) \\ \\ v=144 \pi \\ v=452.16\\ \\ \\ Cone~volume = \frac{1}{3} \pi r^2 h \\ \\ v = \frac{1}{3} \pi (4)^2 (18) \\ \\ v=96 \pi \\ v=301.44 \\ \\ \\ The~ volume ~of ~a ~cylinder ~is~ 1.5~ times~ more ~than ~the ~volume ~of~a~cone.$

4 0

3 years ago

How many toothpicks are needed to build the tree on day 100?

Mariana [72]

Answer:

100 x 4 = 400 - 91 = 309

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following values are solutions to the inequality - 8 - 3x > 2?

____ [38]

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

X< -10/3

Interval Notation:

(-∞, - 10/3)

Hope this is right :)

6 0

2 years ago

How can using equivalent ratios help you operate a business?

never [62]

Hi there

Using equivalent ratios to help operate a business is useful for financial ratios.
There are common size ratios, liquidity ratios, efficiency ratios, and solvency ratios.

Ratios are used to let us compare one item to another. (For example, comparing 1 teacher to 25 students, or 1:25)

Did you have any answers to chose from? I just figured I'd provide you with what I knew about this subject to help in case there were no options to chose from.

4 0

3 years ago