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3 years ago

The ampitude/frequency/period of y=1/4cos1/2x is 4 pie

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
Period: 4pi (= 2pi/|b|)

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Jasmine purchased 3 bags of hot cheetos and 2 packs of sour patch kids from the vending machine and spent 5.25. Michael also loa

Charra [1.4K]

Answer:

cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

Step-by-step explanation:

Let the cost of a bag of hot cheetos be c

Let the cost of a pack of sour patch kids be k

Thus, for Jasmine, the equation will be;

3c + 2k = 5.25 - - - - (eq1)

For Michael, the equation will be;

7c + 3k = 9.75 - - - - - (eq2)

We will use method of elimination to solve this.

Multiply (eq 1) by 3 and (eq 2) by 2 to give;

9c + 6k = 15.75 - - (eq4)

14c + 6k = 19.5 - - -(eq5)

Subtract (eq4) from (eq 5) to get;

5c = 19.5 - 15.75

5c = 3.75

c = 3.75/5

c = 0.75

Put 0.75 for c in (eq 4) to get;

9(0.75) + 6k = 15.75

6.75 + 6k = 15.75

6k = 15.75 - 6.75

6k = 9

k = 9/6

k = 1.5

Thus; cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

7 0

3 years ago

Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last s

swat32

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285 Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15 Eqn 2

z = 2y+4 Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

$(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296$

Dividing both sides by 4

$\frac{4y}{4}=\frac{296}{4}\\y=74$

Putting y=74 in Eqn 2

$x=74-15\\x=59$

Putting y=74 in Eqn 3

$z=2(74)+4\\z=148+4\\z=152$

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago

Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range

zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

7 0

2 years ago

What is the square root of -1?

lys-0071 [83]

Answer:

$i$

Step-by-step explanation:

<u>Step 1: Find the square root of -1</u>

<u /> $\sqrt{-1}$

$\sqrt{i^2}$

$i$

Answer: $i$

7 0

3 years ago

Read 2 more answers

Solve:C=10d + 5n for n

katovenus [111]

$n = - 2d + \frac{c}{5}$
hope this helps

5 0

3 years ago