Which expression is equivalent to this quotient?
4x^2 -8x -5/ 4x^2 - 25

A. -1/5
B. 2x - 1/ 2x - 5
C. 2x + 1/ 2x + 5
D. 2x - 5/ 2x + 5

Answers

Answer 1

The answer is (C) 2x+1/ 2x+5.

This is just finding like terms.

Like terms are terms that are the same, like 2x and 3x for example, would be like terms. (This is not in the problem by the way.) Just divide the like terms, and that's your answer.

I tried to give a good explanation but I'm super tired. Just trying to help.

Answer 2

The expression is equivalent to the quotient is (2x+1)/(2x+5). Therefore, option C is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Given that, (4x²-8x-5)/(4x²-25)

= (4x²-10x+2x-5)/((2x)²-(5)²)

= [2x(2x-5)+1(2x-5)]/(2x-5)(2x+5)

= [(2x-5)(2x+1)]/(2x-5)(2x+5)

= (2x+1)/(2x+5)

Therefore, option C is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

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Related Questions

A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?​

Answers

The submarine would be 375 feet below sea level.

Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.

20 POINTS HELP FAST
What is the total surface area of the square pyramid below?

A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.

132 m2
144 m2
160 m2
228 m2

Answers

Answer:

https://brainly.com/question/16576809

Step-by-step explanation:

Answer:

144 m2

Step-by-step explanation:

A rectangle has length of 6 inches and a breath of 4 inches. find the area in2​

Answers

Answer:

area of rectangle=length ×breadth

6×424in²

hope it helps

stay safe healthy and happy.

48 oz of trail mix costs $8.16. What is the cost per ounce?​

Answers

Answer:

5.9 oz i think.

Step-by-step explanation: I divided 48 and 8.16 and got 5.882 so I rounded it to get 5.9

HELP ASAPPP! I WILL GIVE BRAINLIEST!

PICTURE BELOW.

PLEASE DO NOT PUT ANY NONE RELATED ANSWERS OR YOU WILL BE REPORTED !!​

Answers

Answer:

Polygon A: A, D, E

Polygon B: F, G, H

Polygon C: K, L, M, N, O

Polygon D: S, T

Step-by-step explanation:

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.
Hours Spent Studying Total Points Earned
45 40
30 35
90 75
60 65
105 90
65 50
90 90
80 80
55 45
75 65
a) Develop an estimated regression equation showing how total points earned is related to hours spent studying.
b) Test the significance of the model with alpha = .05.
c) Predict the total points earned by Mark Sweeney. He spent 78 hours studying.
d) Develop a 95% prediction interval for the total points earned by Mark Sweeney.

Answers

Answer:

ansber 5 good by. ............

The right rectangular prism is filled with cubes that have a side length of 1/8
foot.
How many cubes does it take to fill the prism? (Look at the photo please!!)

Answers

Find the volume of the rectangular prism and divide by the volume of the cube.

Volume of cube = side measure ^ 3
Cube = (1/8)^3 = 1/512

Volume of prism = l x w x h
Prism = (1/4)(1/2)(3/8) = 3/64

3/64 / 1/512
3/64 x 512/1
3 x 512 / 64
1536 / 64
24

Reflect triangle A in the line Y = 1

Answers

Answer:

(1,2); (4,4); (1,4)

Step-by-step explanation:

Just reflect it directly across the y axis starting at x=1.

 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7

Answers

Given:

The function is:

[tex]f(x)=-2x+5[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=-2x+5[/tex]

Step 1: Substitute [tex]f(x)=y[/tex] .

[tex]y=-2x+5[/tex]

Step 2: Interchange x and y.

[tex]x=-2y+5[/tex]

Step 3: Isolate variable y.

[tex]2y=5-x[/tex]

[tex]y=\dfrac{5-x}{2}[/tex]

Step 4: Substitute [tex]y=g(x)[/tex].

[tex]g(x)=\dfrac{5-x}{2}[/tex]

Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.

If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?



50


200


150


100

Answers

answer: 50

explanation: the average for 300 flips on a 6 numbered cube is 50

the radius of a circle is 6cm what is the diameter circumference and area of the formula?​

Answers

Answer:

Diameter: 12

Circumference: 37.68

Area: 113.04

Step-by-step explanation:

The radius of the circle is 6 cm.

To find the diameter of a circle, multiply the radius by 2.

6 × 2 = 12.

12 is the diameter.

----------------------------------------------------------------------------------------------------------------

Formula for the circumference of a circle: πd (diameter).

In other words, to find the circumference of a circle, multiply the diameter by pi.

**3.14 IS A SUBSTITUTE FOR PI**

12 × 3.14 = 37.68

Therefore, 37.68 cm is the area of the circle.

----------------------------------------------------------------------------------------------------------------

Formula for area of a circle: πr² (r = radius).

3.14 × 6 × 6 = 113.04

Therefore, 113.04 cm² is the area of the circle.

It is possible none of the choices is the solution?

If I’m wrong, then which one is the correct answer?

Answers

Answer:

I am pretty sure the answer would be B!

Hope this helps

Mark me brainliest if I'm right :)

Find three rational numbers between
1
5
and 0.20.

Answers

2, 3 and 4 is the three rational numbers between

Step-by-step explanation:

True po talaga enanswer ko❤️

Describe a compound event that has a probability between 50% and 80%.

Answers

Answer:

r=4.5 I hope this helped!

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

A landscape engineer is designing a triangular area. He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?​

Answers

Answer:

the picture is kinda blurry, i cant see the numbers

Step-by-step explanation:

Write 1.5 : 6 as a whole number ratio in it's simplest from.

Answers

Answer: 1.5 : 6 = 1 : 4

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

1.5 : 6 = 15 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 60 is 15

Divide both terms by the GCF, 15:

15 ÷ 15 = 1

60 ÷ 15 = 4

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

Therefore:

1.5 : 6 = 1 : 4

Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the diving board. How far is Paula from the surface of the water:
1. What integer represents Paula's starting height above the water?

2. What integer represents the total distance Paula descends?

3. Write an addition expression to represent Paula's distance below the water's surface

4. At the end of her dive, Paula is ____feet below the surface of the water

5. Yolanda owes her friend $15. She also earns $8 each week in allowance. Write and solve an addition equation to show how the total amount of money that Yolanda has will change if she pays her friend back this week.

Answers

1) The integer representing Paula's starting height above the water is 2.

2) The integer that represents the total distance Paula descends is 7.

3) An addition expression to represent Paula's distance below the water's surface is 2 + 3.

4) At the end of her dive, Paula is 5 feet below the surface of the water.

5) If Yolanda pays her friend back this week, she will owe her only $7.

What is an integer?

An integer is a whole number.  It can be positive, negative, or zero but without fractions.

Addition expressions combine two or more addends with the addition operand and equation mark (=) to determine the sum (or the result of the addition operation).

Paula:

Height of diving board = 2 feet

Depth of descent below the diving board = 7 feet

Distance below the water's surface = 5 feet (7 - 2)

5 feet = 2 + 3

Yolanda:

Debt to a friend = $15

Earnings per week = $8

Total amount after paying friend = 8 - 15

= -$7

Learn more about addition operations at https://brainly.com/question/4721701

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A batted baseball leaves the bat at an angle of θ with the
horizontal and an initial velocity of v0 = 300 feet per second. The
ball is caught by an outfielder 530 feet from the home plate. The
range r of a projectile is given by sin  2
32
1 2
o r  v
.
What is the value of the angle of the bat from the ground?

Answers

Answer:

Sixty Baseball Physics Problems © page 1 ! ! Sixty Baseball Physics Problems (many with correct solutions!) Sixty Baseball Physics Problems

Step-by-step explanation:

A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the paper.

Country Sugar Consumption Depression Rate
Korea 140 2.4
United States 310 3.1
France 360 4.5
Germany 385 5.1
Canada 400 5.1
New Zealand 470 5.8

Required:
a. Calculate the correlation coefficient for this data set.
b. Interpret the correlation coefficient for this data set.
c. Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain.

Answers

Answer:

Following are the responses to these question:

Step-by-step explanation:

In point a:

In the excel sheet with the information, you've been provided. The below is the output of the [tex]CORREL(B2:B7, C2:C7)[/tex] formula for determining correlation coefficients:

[tex]\to r=0.0762[/tex]

It was a good thing that there's a connection between the two. For both depression and sugar intake, there is a weak positive linear relationship.

In point b:

Yes, It's fair to assume which increased sugar intake leads to increased depression rates.

In point c:

Yes, This sample of countries does not appear to be reflective of an entire world.  As a result, the inference could be applied to all countries.

Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.

Which option best describes the likelihood of Jennifer picking a green ball?

Answers

Answer:

it's a

Step-by-step explanation:

Multiple Choice
Probability is a measure
of how likely an event is
to occur. Choose the
best probability for an
event that is very
unlikely, but will occur
once in a while in a long
sequence of trials.
a. 0
b. 0.01
C. 0.3
d. 0.6
e. 0.99
f. 1

Answers

Answer:

0.01

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

because I think it's this answer

please help it’s due in 35 minutes thanks if you do!!

Answers

Answer:

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] --- Trinomial

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] --- Binomial

Step-by-step explanation:

Given

[tex]n^2 + \frac{2n}{3}[/tex]

Solving (a): Perfect square trinomial

We have:

[tex]n^2 + \frac{2n}{3}[/tex]

Express as an equation

[tex]n^2 + \frac{2n}{3} =[/tex]

Start----------------------------

Take coefficient of n i.e. (2/3)

Half it: i.e. (1/3)

Square it: (1/63^2

Add to both sides of the equation

---------------------------End

So, we have:

[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]

Remove brackets

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Solving (b): Binomial Squared

[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Expand

[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]

Factorize:

[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Factor out n + 1/3

[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]

Express as square

[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]

PLEASE HELP MARKING BRAINLIST

Answers

Answer:

82?

Step-by-step explanation:

Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a  great person!!!!

What is 15/7 an mixed number

Answers

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

4
7/1
Joe has been given two cubes. One cube has on of the following letters A, B, C, D, E, and Fon each side. The
other cube has one of the following numbers 1, 2, 3, 4, 5, 6, 7 and 8 on each side. If Joe rolls both cubes, what is
the probability of rolling the letter A and an odd number?

Answers

Ummm I’m not sure I suck at math in tryna figure it out myself

This is the floor plan of Andrew’s toy room. Andrew needs to determine the area of the floor so he can order new wood flooring. Enter the area, in square feet, of Andrew’s toy room floor.

Answers

Answer:

should be 76

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 5*7=35

rec 2: (8-3.5)*(11-5-4)=9

rec 3:4*8=32

Then:

35+9+32=76

Angle Relationships

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

The cosine of the complimentary angle of 60°

a. 0.50
b. 0.86
c. 0.25
d. 0.71

Please select the beast answer from the choices provided

Answers

Answer:

B. 0.86

Step-by-step explanation:

I calculated it logically

which equation is represented by the graph below

Answers

I think it is the 3rd one. Hope this helps!

Violet bought 7 air filters at the store. Each filter cost $18.85. Violet used a coupon for $5.50 off her total cost of the air filters. How much did Violet pay for these 7 air filters? *
1 point
$31.35
$137.45
$126.45
$93.45
help me plz so much i really really need this todayy asap

Answers

$126.45
7x18.85 - coupon
$126.45 because the coupon was for the total not individual

use the formula circumference = 2×π× radius, where π is approximately 3.14, to answer the question

A. 7.9 in
B. 15.7 in
C. 31.4 in
D. 62.8 in​

Answers

Answer:

The correct answer is C. 31.4

Step-by-step explanation:

The first person is right
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