A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of rock songs. The number of hip-hop songs is 32 more than the number of rock songs. Write a system of THREE linear equations to represent this situation.

Answers

Answer 1

Answer:

x + y + z = 272 - - - - - - (1)

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

z = 32 + y - - - - - - - - - - (3)

Step-by-step explanation:

Let :

Number of pop songs = x

Number of rock songs = y

Number of hophops = z

Sum of the three types of songs = 272

x + y + z = 272 - - - - - - (1)

Pop is 3 times Rock :

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

Hiphop is 31 more than rock

z = 32 + y - - - - - - - - - - (3)


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The answer is B.  x=-3 and x=-1

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Answer:

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Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?

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Answer:

g(x)=-8(3^x)

Step-by-step explanation:

Given: f(x)=3^x

Multiply by 8: f(x)=8(3^x)

Negate function: g(x)=-8(3^x)

The function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis will be g(x)=-8(3ˣ).

What is an exponential function?

It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x.where a is a constant and a>1

It is given that, the function represents the exponential function f(x) = 3x.

We have to find the function after a vertical stretch by a factor of 8 and a reflection across the x-axis.

We have to do geometric transformation, It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

Thus, the function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis will be g(x)=-8(3ˣ).

Learn more about the exponential function here:

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Need help with this

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Answer:

i know that the width of the rectangle is two centimeters less then 8 times the length. I also know the perimeter is 68 cm. I need to know the length of the rectangle.

^ same I need more details

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.

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length = 3 + width

perimeter = 34

34 ÷ 2 = 17

width = x

3 +x + x = 17

3 + 2x = 17

2x = 14

x = 7

width = 7

Find the surface area of the rectangular prism.
3 mi
4 mi
1 mi

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the answer would be =38
The answer would be 38

if you can answer this ill give you brainlist

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Answer:

option 1

Step-by-step explanation:

the pattern will continue like this:

50 - 25

answer 1 is the correct answer!

Answer:The first question is the true statement <3

Step-by-step explanation

<3

How fast is Spiderman going (in miles/hour)? *

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Answer:

Prolly faster than the flash

Step-by-step explanation:

:)

It is suggested to be 200 miles per hour but it is 1.9 mach in the comics. It is suggested to be 200 miles per hour but it is 1.9 mach in the comics.

simplify 2 exponent 9 plz hurry on test

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2 to the 9th power 512. Hopes this helps!

6.Which is equivalent to the expression 9^2*9^4 ?
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G. 81^8
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The correct answer is H
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A triangle has a base of 2 m and a height of 3 m. Find the area of the triangle. Use the formula: A= 0.5 x Base x Height.

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Answer:

3

Step-by-step explanation:

2x3=6/2=3

which statements are true about the graph of function f?

f(x)= log x

Answers

Answer:

I believe the correct answer here is C!

Step-by-step explanation:

The option (A) is correct.

What is graphs of logarithmic function?

"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".

For the given situation,

[tex]f(x)=logx[/tex]

Plot the graph of  [tex]f(x)=logx[/tex] .

From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.

Hence we can conclude that the option (A) is correct.

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Please helpppppp!!!!!!! Bots will be taken down .

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step 1

so so s ososoosososososososososososososoosososososzosoosossoosososo

Step-by-step explanation:

The most important thing to remember is: SOH CAH TOA

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

So in #1:

We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.

sin(42)=x/25

this means that x=25sin(42). Plug that into the calculator and get: 16.73.

(Make sure you are in degrees mode)

For #2:

We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.

tan(75)=12/x

This means that x=12/tan(75). Calculator says: 3.22

For #3:

We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.

cos(36)=19/x

Solve for x: x=19/cos(36). Calculator says: 23.49

For #4:

We have the angle, adjacent side, and need the opposite side. This is another tangent problem.

tan(53)= x/7

Solving for x: x=7tan(53). Calculator says: 9.29

A company sells cereal and the dimension of the box is listed below. How many cubic inches of cereal can the box below hold? (show your work or explain in words) *

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Answer:

Hello! answer: 186

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20.2

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¼ (16) + 4p plss someone answer I’m desperateeee

Answers

Answer:

your answer is p=-1

Step-by-step explanation:

¼ of 16 is 4 so 4+4p to get p alone you subtract 4 from both sides so 4p=-4 then divide both sides by 4 -4/4=-1

will give brainliest to the correct answer (no links or account will be reported) :)

Answers

Answer:

The third one

Step-by-step explanation:

exterior angles are angles that are outside of the triangle

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Therefore the correct answer is the third one

How can you determine whether two circles are congruent?

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Answer:

If the diameter or radius of one circle is the same as another circle they are congruent.

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Answers

Answer: D on Edge.

Step-by-step explanation:

The domain of the absolute value function is (-∞, +∞).

Here,

In the given figure,

The line of the absolute value function extend in both direction of the

x- axis.

We have to find the domain of the absolute value function which shown in graph.

What is Domain?

The Domain is the set of all x-values. It is the horizontal line In a Cartesian Plane.

Now,

In the given figure,

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Hence, The domain of the absolute value function is (-∞, +∞).

Option 4 is true.

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a = 15 ; b =____________ ; c = 17

Answers

Answer:

16

Step-by-step explanation:

b=16

Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.

Plz it’s for my finals!!

Answers

Pretty sure it would be D

Good luck on your finals!

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Answers

Answer:

There are 959 fish in the lake.

Step-by-step explanation:

According to the information provided, to be able to find the number of fish in the lake, you have to calculate 23% of the amount of fish in the lake and add that result to the amount of fish in the lake:

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Joel cut the longest piece of fencing in order to make a right triangle. If it takes him 30 seconds to install each foot of fencing, how many total minutes will it take him to install the fence?​

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Answer:

-3x^2+16x+64

Step-by-step explanation:

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The total area is x^2+16x+64

(2x)(2x)=4x^2

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Now we have to subtract to find the area of the shaded part.

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-3x^2+16x+64

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Hope this helped!! :D

Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the
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You choose a movie CD at random from a case containing 2 comedy CDs, 9 science fiction CDs, and
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The probability of not picking a comedy from the case as a fraction is
The probability of not picking a comedy from the case as a decimal is
The probability of not picking a comedy from the case as a percent is
%.

Answers

Answer:

Fraction- 12/14 (6/7)

Decimal- 0.85 or 0.86 (depending if you want to round up)

Percent- 85%

Step-by-step explanation:

Add all of the CD's that arent comedy then put the total number of CD's below. And then take 12/14 and apply it as a decimal and percent and also simplify it if needed.

At the start of the week, an account had a balance of –$12.67. So far during the week, $20 has been deposited into the account and $13.47 has been spent from the account. At the end of the week, the balance needs to be at least $25 in the account. What is the minimum amount of money, in dollars, that still needs to be deposited into the account before the end of the week?

Answers

I think it’s $5.80 to make it at least 25 at the end of the week

What is the distance between tow points(-1,4)(3,2)

Answers

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

Answer:

[tex]\displaystyle d = 2\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16+4}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{20}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle d = 2\sqrt{5}[/tex]

Write an expression with two terms that is equivalent to the expression shown.

4(2x + 11

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Answer:

habla no espanyol

Step-by-step explanation:

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Answer:

Mia khalifa

Step-by-step explanation:

H3ntai g hhuh

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