Find all solutions by factoring.
4v2 - 25v = 21

Answers

Answer 1

Answer:

(4v + 3) and (v - 7)

Step-by-step explanation:

First rewrite 4v2 - 25v = 21 as 4v^2 - 25v - 21.

Let's now analyze -25v and -21.  We need to identify two integers whose product is 21 and whose sum is -25.  

Note that factors of -21 are ±1, ±3, ±7 and ±21.  Factors of 4 (the coefficient of v^2) are ±1, ±2 and ±4.

Check out the following trial factors:   (4v + 3) and (v - 7).  Does this product come out to the given 4v^2 - 25v - 21?  Yes.   So the desired factors of 4v2 - 25v = 21 are (4v + 3) and (v - 7).  Note how (3)(-7) = -21 and how 4(-7) + 3v add up to -25, the coefficient of the v term.


Related Questions

I need some help on this

Answers

Answer:

When we are multiplying the same number, let it be n, m times, what we do is:

[tex]n^m[/tex], where n is the base and m the exponent.

In this case we have 4 fives, 2 threes, 3 x and 1 y which are being multiplied , so we can convert them to exponents:

4 fives: [tex]5^4[/tex]

2 threes: [tex]3^2[/tex]

3 x: [tex]x^3[/tex]

1 y: y

Then we multiply all: [tex]5^4*3^2*x^3y[/tex]

English
py a Whole Number
1
Emma and her 3 friends were thirsty, so she shared
2
gallon of lemonade equally among 4 people. How
much lemonade did each person get?
=4 =
2

Answers

Answer:

1/8

Step-by-step explanation:

on edgenuity

a bank tellers hourly wage will increase from $24 to $27.60. what percent increase does this represent?a stereo is marked down $105. if this is a 25% decrease, find the original price?

Answers

Answer:

i know

Step-by-step explanation:

but I don't have pen

Answer:

15$

Step-by-step explanation:

24.00 increased by 15% is 27.60

the increase is 3.60

so the answer is 15%

1. Explain the process for combining like terms for 12x - 3y + 8 - 5x + 4y

Answers

Answer: 7x+y+8

Step-by-step explanation:

Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.

For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.

We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.

Now, we can combine like terms.

12x-3y+8-5x+4y                     [combine like terms]

7x+y+8

An equation is shown below:
4(x-3) - 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)

Answers

X=-20 I’m straight forward with my answers

25 points!!! Please help but DON'T give an answer pls Am i right?

Answers

I dont think so lol try drawing it out a translation is the same shape or point but in another quadrant either over the x axis or y axis

Which expression is equivalent to 12x+(−7)−214x−(−2)?

Answers

Answer:

[tex]-(202x+5)[/tex] is the equivalent expression

Step-by-step explanation:

Given the following expression

[tex]12x+(-7)-214x-(-2)[/tex]

We are expected to find and re-write the expression such that it equals the given expression

We proceed by opening all brackets and work operations on signs

[tex]12x-7-214x+2[/tex]

collecting like terms we have

[tex]12x-214x-7+2\\\\-202x-5[/tex]

we can further re-write the new expression as

[tex]-(202x+5)[/tex]

Answer:

(23/454/7)(-324)

Step-by-step explanation:

The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches, what are the dimensions of the bin? a. 12 x 18 x 24 c. 15 x 17 x 19 b. 16 x 17 x 18 d. 17 x 18 x 19

Answers

Let's use an equation to solve this problem.

Since they are consecutive integers, if we say that the first number is [tex]x[/tex], then the next two numbers (three dimensions in a rectangular prism) are [tex]x+1[/tex] and [tex]x+2[/tex] respectively.

[tex]x*(x+1)*(x+2)=4896[/tex]

[tex]x*(x+1)=x^2+x[/tex]

[tex](x^2+x)*(x+2)=x^3+2x^2+2x[/tex]

[tex]x^3+3x^2+2x=4896[/tex]

[tex]x^3+3x^2+2x-4896=0[/tex]

[tex]x=16[/tex]

B is the correct answer.

a car manufacturer claims that their car can get 32 miles per gallon minus the speed factor. thus caj be modeled by linear equatioj f (×) =33 -015x where f(×) represents the miles per gallon and x is the mph . what would be the predicted miles per gallon for a car going 60 mph using this equation?

Answers

Answer:

f(x) = 24 miles per gallon

Step-by-step explanation:

car manufacturer claims that their car can get 33 miles per gallon minus the speed factor

f (×) =33 -0.15x

For a car going 60 mph

f (×) =33 -0.15x

X=60 mph

f (×) =33 -0.15x

f(x) = 33-0.15(60)

f(x) = 33-9

f(x) = 24 miles per gallon

Which is the correct label for the angle?
А
C
B

Answers

Answer:to what ?

Step-by-step explanation:

Answer:

acb

Step-by-step explanation:

What is the prime factorization of 40?

2×5

2x20

2х2х2×5

2x2x4x5​

Answers

Answer:

2x2x2x5 is your answer

Step-by-step explanation:

40 is a composite number. 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40. Prime factorization: 40 = 2 x 2 x 2 x 5, which can also be written 2³ x 5.

I hope this helps you.

Answer:

2х2х2×5

Step-by-step explanation:

miranda made some cupcakes for the school bake sale. Of the cupcakes 1/2 are choclate and 1/2 are strawberry. Of the strawberry cupcakes, 1/3 are frosted with vanilla frosting, and the rest are frosted with choclate frosting. What portion of the cupcakes are strawberry with chocalate frosting? I also need to be quick and show work

Answers

Answer:

2/3

Step-by-step explanation:

half are choclate so the rest is 50% and 1/3 is vanilla so 2/3 are strawberry and chocolate

1/3 portion of the cupcakes are strawberry with chocolate frosting.

What is portion?

An individual part or share of something is called as portion.

It also refers to the divide something into parts.

Now it is given that,

Portion of chocolate cupcakes = 1/2

Portion of strawberry cupcakes = 1/2

Of the strawberry cupcakes.

frosted with vanilla frosting = 1/3

frosted with chocolate frosting = 1-1/3 =  2/3

Since, 1/2 portion of all the cupcakes are strawberry cakes and out of 1/2, 1/3 are frosted with vanilla frosting and 2/3 are frosted with chocolate frosting.

strawberry cupcakes frosted with chocolate frosting = 2/3 of 1/2 = 2/6

strawberry cupcakes frosted with chocolate frosting = 1/3

Hence,1/3 portion of the cupcakes are strawberry with chocolate frosting.

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The temperature was 3* C on Monday and was 7,5 degrees lower the next day. What
was the temperature on Tuesday?

Answers

Answer:

-4.5°c

Step-by-step explanation:

Read the situations in the table below. Then drag a graph and equation to represent
each situation indicate whether each of the relationships is proportional or non-
proportional

Answers

Answer:

Step-by-step explanation:

"Tamara runs 5 miles each week"

Let Tamara runs 'x' weeks then equation that represents the total distance covered by Tamara will be,

1). y = 5x

2). Here 'y' is directly proportional to the number of weeks 'x'.

3). And the graph when plotted will start from 0. Therefore, graph (1) will be the graph for the given equation.

"Tamara runs 5 minutes more than she walks each day."

1). If Tamara walks 'x' minutes daily and she runs for y minutes then relation between x and y will be,

y = x + 5

2). y and x are non proportional.

3). Graph will have y-intercept = 5

Answer:

ik somebody answer already n stuff

Step-by-step explanation:

2. If x¹¹+101 is divided by x + 1, then what remainder do we get?​

Answers

Answer:

Step-by-step explanation:

To get the remainder of (x-(-1)) we need to evaluate for -1,

[tex](-1)^{11}+101=-1+101=100[/tex]

So if this is divided by x+1, it means that we can write

[tex]x^{11}+101=(x+1)P(x)+R\\\\so \ for \ x = -1\\\\(-1)^{11}+101=100=0*P(-1)+R=R\\\\\text{So the remainder is 100 !!}[/tex]

thanks

There are three bells that ring at different intervals. The first bell rings every 6 minutes, the second
bell rings every 7 minutes, The third bell rings 9 minutes. If all the bells ring together at noon, at what
time will they next all ring together?

Answers

Answer:

2:06

Step-by-step explanation:

You just need to find the Least Common Multiple of the 3 numbers. In this case it was 126 which if those are minutes that would mean 2 hours and 6 minutes.

Given these scores 31, 32, 32, 33, 34, 35, 35, 35, 35 what is the median and mode

Answers

The mode is 35
The median is 34

Lexie drives her car 204 miles using 12 gallons of gasHow many miles per gallon does her car get? not include the units in your answer

Answers

Answer: 17

Step-by-step explanation: 204/12 = 17

Answer:

204÷12=17

lexie used 17 per miles

Step-by-step explanation:

that if am right lol

I need help I don’t understand

Answers

Answer:

A. 1.2 > -6.9

Step-by-step explanation:

The reasoning is because positive numbers are ALWAYS greater than negative numbers, and in this question, 1.2 is higher than -6.9. Hope this helped!

Answer:

1.2> - 6.9

Step-by-step explanation:

1.2 is greater than (>) -6.9

The golfer with the highest score in a tournament was nine over par. The golfer with the lowest was five below par. What was the range in golf scores?

Answers

Answer: The range in golf scores was 14.

Step-by-step explanation:

Range = Maximum - minimum

Values above some limit are represented by positive integers whereas values blow a certain limit is represented by negative numbers.

Given: The golfer with the highest score in a tournament was nine over par i.e. (9). The golfer with the lowest was five below par i.e. (-5 ).

So, the range in golf scores =  9-(-5)

=  9+5

= 14

Therefore, the range in golf scores was 14.

a 9-foot roll of waxed paper costs $2.16. What is the price per inch?

Answers

Answer:The answer is $0.24

Step-by-step explanation:divide 2.16 by 9

Need help with this math problem please!!

Answers

Answer:

The domain of a function is the set of numbers for which the function is defined.

Here, this function has values of number from -1 to +3

therefore, it's domain is [-1,3]

The range is the set of results of a function

here, this function ranges between -5 to +4

therefore, its range is [-5,4]

I am 1 Brainly away from Virtuoso, help if you find this answer helpful

Caleb brought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%. What was the price of caleb’s groceries, before tax?

Answers

Answer:

$64

Step-by-step explanation:

We can set up a percentage proportion to find the value Caleb's groceries before tax.

[tex]\frac{1.60}{x} = \frac{2.5}{100}[/tex]

We can cross multiply to find the value of x.

[tex]100\cdot1.60=160\\\\160\div2.5=64[/tex]

So the original cost before tax was $64.

Hope this helped!

Answer:

$1.64

Step-by-step explanation:

We need to find the before tax price so let that be x

100-2.5% = 97.5% (since this is the reduction before the sale)

Turn this percentage into a decimal so 0.975

To find x we must remember this price multiples 0.975 to give us $1.60

x * 0.975 = 1.60

x = 1.60 / 0.975

x = 1.64 (2dp)

-5/2 (3x + 4) < 6 - 3x

Answers

Step-by-step explanation:

here is the ans

please check

Label each of the triangles illustrated below

Answers

A: Equilateral
B: Obtuse
C: Obtuse
D: Right
E: Obtuse
F: Acute

Answer:

a. Equilateral

b. Scalene

c. Isosceles

d. Right

e. Obtuse

f. Acute

Step-by-step explanation:

pf

I enter the garden. There are 34 people. You hug 30. How many people are in the garden.

Answers

Answer:

34

Step-by-step explanation:

There are 34 people in the garden prior to the time I joined them.

So when I entered the garden, the total number of people in the garden will be:

34 + 1 = 35 people

Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.

At the end of the day, the number of people you did not hug is:

35 - 30 - 1(you)

= 35 - 31

= 4 people

Therefore, we can conclude that there are 35 people present in the garden.

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In the​ 1970s, due to world​ events, there was a gasoline shortage in the United States. There were often long lines of cars waiting at gas stations. Part​ A: If there were 41 cars in a line that stretched 388 ​feet, what is the average car​ length? Assume that the cars are lined up​ bumper-to-bumper. Round your answer to the nearest tenth of a foot.

Answers

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

 the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

The 1-inch diameter pizza bite for $1 or the 10 inch diameter pizza for $10

Answers

Answer:

both same if we see. the one inch also costs l dollar wheras 10 dollar costs 10 inch. ok

Answer:

10in pizza

Step-by-step explanation:

We need to find the area of each pizza.

A = [tex]\pi[/tex][tex]r^{2}[/tex]

radius is 1/2 the diameter.

1in pizza                                    10in pizza

A = [tex]\pi[/tex]([tex].5^{2}[/tex])                                    A = [tex]\pi (2.5^{2} )[/tex]

A = .25[tex]\pi[/tex]                                     A = 6.25[tex]\pi[/tex]

A = .79                                        A = 19.63

                                                   19.63/10 for [tex]in^{2}[/tex] per $1

So the 1in pizza bite is $1 for .79[tex]in^{2}[/tex]  and we can see from the 10in pizza it's $1 for 1.96[tex]in^{2}[/tex]. So it is much better to get the 10in pizza.

PLS HELP
oceans     1.4 × 1021kg

crust      2.6 × 1022kg

atmosphere   5.1 × 1018kg

mantle     4.043 × 1024kg

outer core   1.835 × 1024kg

inner core   9.675 × 1022kg

What is the order, from least to greatest, of the masses of each part of Earth? Order the parts from least to greatest, with 1 being the smallest mass and 5 the greatest mass.

1. Atmosphere

2.
3.
4.
5.
6.
whats the answer pls

Answers

Answer/

Step-by-step explanation:

Atmosphere OceansCrust Inner CoreOuter CoreMantle

Look at the powers of each x10. The bigger the power, the bigger the mass. Of two are in the same order, you look at the number next to it.

The ascending order from least to greatest is

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

What is Ascending Order?

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the masses of each part of the Earth be

oceans     1.4 × 1021kg

crust      2.6 × 1022kg

atmosphere   5.1 × 1018kg

mantle     4.043 × 1024kg

outer core   1.835 × 1024kg

inner core   9.675 × 1022kg

And , arranging them in ascending order , we get

Atmosphere - 5.1 × 10¹⁸ kg

Oceans - 1.4 × 10²¹ kg

Inner core - 9.675 × 10²² kg

Crust - 2.6 × 10²² kg

Outer core - 1.835 × 10²⁴ kg

Hence , the arranging order is solved

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I don’t understand this

Answers

Answer: OPTION A

Step-by-step explanation:

The distance between any number is always positive so we should apply the absolute value.

The distance between numbers=number 1-number2 (or vise versa, and that is why we need absolute value)

In your question, the two numbers are 3/4 and 2. Applying to the expression above, the distance between two numbers should be |3/4-2| or |2-3/4|.

The only option in your case is |3/4-2| and this is it.

Hope this helps!! :)

Please let me know if you have any question

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