All categories

3 years ago

Write a function rule for "The output is half of the input x."

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

5 0

Answer:

$y = \frac{x}{2}$

Step-by-step explanation:

Functions:

Functions have the following format:

y = f(x)

In which y is the output, x is the input, and f is the relation between them.

In this question:

The output is half of the input x. This means that:

$y = \frac{x}{2}$

You might be interested in

solve this math problem. Estimate it by giving whole number. Show working also. (ESTIMATE, NOT WORK OUT) :)

pentagon [3]

Answer:

(a) 11.

(b) 5.

Step-by-step explanation:

(a)√124:

11*11 = 121 so an estimate is 11.

(b) ∛124

5*5*5 = 125

So an estimate is 5.

5 0

3 years ago

Pls help me ASAP plssss!!!

Nataly [62]

Answer:

7. $8

8. coupons offer deals upfront, rebates only offer them after purchase, and sales are short times to drive sales

Step-by-step explanation:

7 work. best buy: 60 - 2 = 40 40 x 4 = 160

Gamestop: 60 x 0.3 = 18 42 x 4 = 168

160 - 168 = -8

$8 dollars saved by Best Buy

7 0

3 years ago

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

1 year ago

What is the rule for the reflection?

Dvinal [7]

Answer:

Incident ray, the reflection ray and the normal to thereflection surface at the point of the incidence lie in the same plane

5 0

3 years ago

What's a prime number

Andre45 [30]

Answer:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

4 0

3 years ago