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4 years ago

What is the base of the exponential function f(x)=0.5x−2 ?

Mathematics

1 answer:

Scilla [17]4 years ago

5 0

Answer:

0.5

Step-by-step explanation:

The base of the exponential function is the number which the exponent is touching. If it is exponential then the exponent must be x. This means 0.5 is the base.

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A basket of goods costs $85 in year 1. If the same basket costs $90 in year 2, what is the CPI for year 2?

Rus_ich [418]

Answer:

5.88%

Step-by-step explanation: Change= (((90-85))/85)*100

=5.88%

6 0

3 years ago

Read 2 more answers

At a pet store the total cost of 8 pounds of Brand X dog food and 1 pound of Brand Y dog food is $8.40, including tax. The total

patriot [66]

Answer: The price per pound of Brand Y dog food is $\$1.2$

Step-by-step explanation:

We have to brands of dog food (Brand X and Brand Y).

So, firstly we are told the total cost of 8 pounds of Brand X and 1 pound of Brand Y $\$ 8.40$ :

$8X+1Y=\$8.40$ (1)

Then, we are told the total cost of 16 pounds of Brand X and 8 pounds of Brand Y $is $24.00$ :

$16X+8Y=\$24.40$ (2)

Now we have two equations with two unknowns and we need to find $Y$ .

Multiplying eqquation (1) by $-2$ :

$-16X-2Y=-\$16.8$ (3)

Adding (2) and (3):

$6Y=\$7.2$ (4)

Isolating $Y$ :

$Y=\$1.2$ (5) This is the price per pound of Brand Y dog food

8 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a tot

erma4kov [3.2K]

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

Please mark this brainliest, and I hope this helps!

5 0

3 years ago

The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and r

sertanlavr [38]

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.

Given:

One-fifth (1/5) of the playground is used for students to sit and read
2/3 is used for playing soccer
The rest of the playground is used for playing basketball

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=> the remaining equal part is 4 or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

8 0

3 years ago

Identify the action-reaction pair when a softball player hits a home run

Mariulka [41]

Answer:

Newton's third law of motion states that every action has an equal and opposite reaction. In softball when the catcher catches the ball the two forces present are the mitt on the ball and the ball on the mitt. The two are equal and in opposite directions.

4 0

3 years ago