Choose the graph of the function.<br> f(x)= 4•2^x

multiply the 2x by x and 7 and then multiply 3 by x and 7. you will get 2 $x^{2}$ +14x+3x+21. combine like terms so add 14x to 3x and thats the only like trerms in the equation. so 2x^2+17x+21

5 0

1 year ago

Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to

Alinara [238K]

Answer:

It'll take 25 hours to get to the auto shop

Step-by-step explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

$Speed = \frac{Distance}{Time}$

Substitute values for Speed and Distance

$\frac{1056 ft}{hr} = \frac{5 miles}{Time}$

1 mile = 5280 feet;

So:

$\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}$

$\frac{1056 ft}{hr} = \frac{26400ft}{Time}$

Cross Multiply

$Time * 1056ft = 26400ft * hr$

Divide both sides by 1056ft

$Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}$

$Time = \frac{26400ft * hr}{1056ft}$

$Time = 25hr$

<em>Hence, it'll take 25 hours to get to the auto shop</em>

3 0

3 years ago

Carlos is tiling a kitchen cluster that is 12 feed by 3 feed. The counter has a rectangular hole 3 feet by 2 feet cut in ir for

Taya2010 [7]

Answer:

The area of the counter that Carlos will wall tile is $30 ft^{2}$

Step-by-step explanation:

to solve this, we will calculate the area of the counter and the area of the rectangular hole that Carlos would have to leave out for the sink, and then subtract them to get the area that will be tiled.

Total area of the rectangular counter = length X breadth = $12 \times 3 = 36ft^{2}$

area of the rectangular cut out for the sink = length X breadth = $3 \times 2 = 6 ft^{2}$

Surface area that Carlos is meant to tile = $36ft^{2}- 6 ft^{2} = 30ft^{2}$

Hence,the area of the counter that Carlos will wall tile is $30 ft^{2}$

6 0

3 years ago

Choose the graph of the function. f(x)= 4•2^x