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Which are solutions of the equation 4x² - 7x= 3x + 24? Check all that apply.

Answers

Answer 1

We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

We are given an equation:

4 x² - 7 x = 3 x + 24

We need to solve it for x.

4 x² - 7 x - 3 x = 24

4 x ² - 10 x = 24

4 x ² - 10 x - 24 = 0

4 x² - 16 x + 6 x - 24 = 0

4 x( x - 4) + 6( x - 4) = 0

(x - 4)(4 x + 6) = 0

Solving for x, we get that:

x = 4 or x = 6 / 4 = 3 / 2.

Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

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Related Questions

32-15x3-5(5-13+44)-33+3(576+13-375)

Answers

Answer:

416

Step-by-step explanation:

pemdas

If the probability that it will rain tomorrow is 1/5, what Is the probability that it will not rain tomorrow ?


• 4/5
• 3/5
• 2/5
• 2/10

Answers

Answer:

4/5

Step-by-step explanation:

because 1/5 + 4/5 = 1

The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
It was previously calculated that the z-score for 3.22
inches is 1.44 and that the percentage of trees that have
a diameter less than 3.22 inches is 92.51%.
About what percent of trees have a diameter greater than
3.22 inches?
About
% of trees have a diameter greater
than 3.22 inches. Round the percent to 2 decimal
places, if necessary.

Answers

Answer: 7.49%

Step-by-step explanation: i got it right on edg

Answer:

7.49%

Step-by-step explanation:

) You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?​

Answers

Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

First, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:

Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up.

So the price of each company is:

Price of company A=50 + 10tPrice of company B=30 + 15t

If both companies equal the same price, the equation in this case is:

Price of company A= Price of company B

50+ 10t= 30 + 15t

Solving

50 - 30= 15t - 10t

20= 5t

20÷5= t

4=t

At this time, the price of both companies is

Price of company A= 50+ 10t= 50 + 10×4= 90Price of company B= 30 + 15t= 30 + 15×4= 90

In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

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Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt{3x - 1} - 2 = 0[/tex]

[tex] \sqrt{3x - 1} = 2[/tex]

[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]

[tex]3x - 1 = 4[/tex]

[tex]3x = 4 + 1[/tex]

[tex]3x = 5[/tex]

[tex]x = \frac{5}{3} [/tex]

If the interest rate is 12.5 percent, what is the present value of $200 received in one year?

Answers

177.78 is the present value of $200 received in one year.

What do interest rates mean?

An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

What is an example of interest rates?

The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.

PV=FV *  (1+i)^-n

=200\1.125

= 177.78

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your friend is also saving pennies. she puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, each day doubling the number of pennies added. how much money would she have at the end of vacation, if she could keep saving at this rate? (this would be hard to do, even if bill gates were your dad!)

Answers

money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.

What does "compounding" mean?

When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.

What is an appropriate compounding procedure?

Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.

According to the given information:

She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.

The total sum is thus,

(1, 3, 7, 15, 31, 63, 127)

Which translate to

(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)

So at the end of the 75th day, the total amount is 2^75-1

or

37778931862957161709567 pennies

or

377,789,318,629,571,617,095.67 dollars.

money would she have at the end of vacation =  377,789,318,629,571,617,095.67 dollars.

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I understand that the question you are looking for is:

Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.

What is the HCF of 8 and 12?

Answers

Answer:  4

===============================================

Reason:

HCF = highest common factor

8 = 4*2

12 = 4*3

Both have 4 in common, and this is the largest such factor.

You can use factor trees as an alternative method.

Help please I cant figure it out.

Answers

It’s 1/6.

1/6 = 0.166 x 100 = 16.6%

PLEASE HELP MEEEEE. EXPLAINNNN
IMAGE INCLUDED

Answers

Answer:

i thing that's the answer

$100 at 8% for 20 years

Answers

Answer: $466.1

Step-by-step explanation:

100*(1.08)^20=

100*4.661=$466.1

Is the answer $466.1

3y + 6 = 4 - 7y

solve for y and show steps!​

Answers

answer: y = 1/5

Explanation:
3y + 6 = 4 - 7y
+7y + 7y
10y + 6 = 4
-6 -6

10y = -2
—— ——
10 10

Y= 2 1
— or —
10 5

Answer:

3y+7y=4-6

10y= -2

y= -2÷10

y =1/2

Ans

IM GIVING 100 PTS TO WHOEVER ANSWERS THE FASTEST

Jayden went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.

Answers

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

How to create a system of equations?

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

Simplify: A , B , C , D?

Answers

Answer:

7 5/6

Step-by-step explanation:

Reverse the operation

[tex]-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}[/tex]

Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i

Answers

Let the numerator = A
Let the denominator = B
7/10=A/B


7+10=17
68/17=4
7/10 * 4/4 =28/40

therefore the two numbers are 28 and 40

f(m) = 3m^2 - 5
find (-2)

Answers

Answer:

f(- 2) = 7

Step-by-step explanation:

assuming you mean find f(- 2)

substitute x = - 2 into f(m)

f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7

Answer:

7

Step-by-step explanation:

Plug in -2 for m:

f(m)=3(-2)^2-5

Simplify:

(-2)^2 or (-2)(-2)=4

f(m)=3(4)-5

3x4=12

f(m)=12-5

f(m)=7

(2x+5)*
5x Angle addition postulate

Answers

The value of x determined by Angle addition postulate is (x = 25).

What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.

As per the given questions;

The two angles are given as;

∠ABD = 5x + 10

and ∠DBC = 2x - 5

By the angle addition postulate;

The sum of both the angles will be 180.

Put the values;

∠ABD +  ∠DBC = 180

5x + 10 + 2x - 5 = 180

Simplifying;

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 25.

Thus, the values of x is determined as the (x = 25).

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The correct question is-

Find the value of x Angle addition postulate, when the value of two angles are-

(5x + 10) and (2x - 5)

PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG

Answers

Yep here you go The answer is -1.4

Shreya took 1/2 of a cake and shweta took 1/4 of the cake. What portion of the cake is left

Answers

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4= 3/4

1 - 3/4 = 1/4 is left

Answer:

There is 1/4 left

Step-by-step explanation:

Find the amount of cake left.

The entire cake is 1

1-1/2 - 1/4

Get a common denominator of 4

1 *4/4 = 4/4

1/2 *2/2 = 2/4

Using the common denominator

4/4 - 2/4 - 1/4

2/4 - 1/4

1/4

There is 1/4 left

Ms. Wells has 16 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answers should be in simplest form.
Group of answer choices

6/18

12/16

3/4

1/12

Answers

Answer: 3/4

Step-by-step explanation: because 12/16 simplified is 3/4

12/16 I think because 12 out of the 16 are left at home.

Enter the numerator and denominator of the fraction in simplest form that is equal to the decimal number shown.
0.8 repeating

Answers

Answer:

4/5

Step-by-step explanation:

8/10

=4/5

Answer:

8/9!!

all credit goes entirely to the person in comments for giving us all the right answer.

The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²

Answers

The total area of the shape is 102 cm².

Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.

What is the area of the rectangle?

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

We know that, the area of a rectangle = Length × Breadth.

So, the area of rectangle1 = 15 × 6 = 90 cm²

The area of rectangle2 = 4 × 3 = 12 cm²

Total area = 90+12 =102 cm²

Therefore, the total area of the shape is 102 cm².

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11 The function f(x) is graphed on the set of axes
below. On the same set of axes, graph f(x + 1) +2.

Answers

Answer:

Step-by-step explanation:

your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2

What is 2 and 1 over 3 divided by 3 over 5?

Answers

2 1/3 is the same as 7/3
So
7/3 divided by 3/5 = 35/9
Answer as a mixed number = 3 and 8/9

Fiona has a coupon for $3 off the price of her meal at a local fast food establishment. her favorite meal is on sale at a special rate of 10% off the combo price. if fiona paid $8.25 for her meal, before taxes, what was the original price of the meal?

Answers

The Original price of the meal was $12.16.

Discount Percent is defined as the discount given on the product per hundred .

For Example . if there is 10% discount on a price of $100.

The final amount will be $90.

Final amount paid by Fiona = $8.25

percentage discount = 10%

Let the original amount be x.

According to the question ;

x - 10% of x = 8.25

[tex]x-\frac{10}{100} *x=8.25\\ \\ \frac{100x-10x}{100} =8.25\\ \\ \frac{90x}{100} =8.25\\ \\ x=\frac{8.25*100}{90}\\ \\ x=\frac{825}{90} \\ \\ x=9.16[/tex]

Since Fiona also had a discount coupon of  $3.

The original amount will be $9.16+$3=$12.16.

Therefore , The original price of the meal was $12.16.

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Sharon is twice as old as Brain. In 5 years, the sum of their ages will be 25 years. Find their present ages.

Answers

Please Mark as Brainliest

Answer:

Brian is 5, and Sharon is 10

Step-by-step explanation:

CURRENT AGES:

  Let   b = Brian's age

  Let 2b = Sharon's age

5 YEARS FROM NOW:

  b + 5 = Brian's age

  2b + 5 = Sharon's age

  The sum will be 25

  b + 5 + 2b + 5 = 25

  3b + 10 = 25

  3b = 15

   b = 5

So Brian is 5, and Sharon is 10

Assume your favorite soccer team has 4 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is:________

Answers

The number of possible outcomes is 81

Count of Outcomes :

In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

Let's come to the solution of the question:

Here, the number of possible outcomes for each game is 3 (win, lose, tie).

The total number of possible outcomes is given by:

= Number of outcomes for 1st game * Number of outcomes 2nd game

= 3*3*3*3

=81

Hence, The number of possible outcomes is 81

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Without multiplying, tell whether the value of the expression is positive or negative.
4/7 • (-3 1/2)
Explain your reasoning.

Answers

Answer:

Negative

Step-by-step explanation:

Because knowing that a positive number times a negative number equals negative.

Equivalent expression to (3*6) to the 2nd power

Answers

The required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

We have been given that exponential function as

⇒ (3⁶/y⁻⁵)²

= (3⁶/1 / 1/y⁵)²

= (3⁶ × y⁵)²

= 3¹² y¹⁰

Therefore, the required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

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The question seems to be incomplete the correct question would be

Select the equivalent expression to (3⁶/y⁻⁵)²

(A) 3¹⁰ y¹²

(B) 3⁶ /y¹⁰

(C) 3¹² y¹⁰

mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.

Answers

160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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