24x^2 + 25x - 47 = (-8x - 3)(ax-2) - 53

Answers

Answer 1
a must equal -3. 

Just looking at the first term of the left hand side of the equation, it must equal 24x². The only time x terms are being multiplied to form an x² on the right hand side of the equation is in the first two parenthesis. Therefore, -8 times a must be equal to 24, and from this you can get a= -3.

Related Questions

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The number m and 58 are additive inverses.

Drag and drop 58 and m to their correct positions on the number line.

Drag and drop the label “Sum” to the sum of 58 and m.

Answers

it's zero, additive inverse means they're opposite numbera

Answer:

[tex]m=-\frac{5}{8}[/tex]

Step-by-step explanation:

We have been given that the number m and 58 are additive inverses.

We know that two numbers are additive inverses when they add up-to 0.

[tex]\frac{5}{8}+m=0[/tex]

[tex]\frac{5}{8}-\frac{5}{8}+m=0-\frac{5}{8}[/tex]

[tex]m=-\frac{5}{8}[/tex]

Therefore, the additive inverse of [tex]\frac{5}{8}[/tex] would be [tex]-\frac{5}{8}[/tex].

What measurement do you need to calculate in order to determine the floor space, or footprint, of each structure?

Answers

You Would most likely use Area

The floor space of the footprint of each structure is calculated by the area.

We have given that,

measurement do you need to calculate in order to determine the floor space, or footprint, of each structure.

We have to determine the

To determine the floor space, or footprint, of each structure.

What is the measurement?

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

Therefore the floor space of footprint of each structure is calculated by the area.

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hello I am in a math 95 class. my names drew and I was looking at a problem having to do with exponential equations .
There were about 1.32 million Hispanic-owned businesses in 2006 and 1.7 million in 2008.
a) Find an exponential model for this data in which t = 0 corresponds to 2006 and the number of businesses is measured in millions. Round computed values to at least 4 decimal places
f(t)=

 
b) Assuming the model remains accurate, how many million Hispanic-owned businesses will there be in 2024? Round to the hundredth.
million businesses

Answers

if it's an exponential model, then we have the original value (1.32 million, or t=0) times something (we can call this y) to the power of another something (we can call it x) equals 2008. Since 2008-2006=2, it may be wise to separate it into 2 year increments. Therefore, if 1.32*(y^x)=1.7, then we can write y as the change every 2 years (in terms of the ratio, or 1.7/1.32 due to that 1.32*1/7/1.32=1.7 since 2 years is the first increment and x is therefore 1) and x as the number of 2 year differences). Since y=1.7/1.32 and 2024-2006=18 (to get it into 2 year increments, we have 18/2=9), we have 1.32*((1.7/1.32)^9)=around 12.87 million people

Veronica is saving money to by a saddle for her horse that costs 175 . She plans to save $10 the first month and then increased amount she say's by five each month after the first month how many months will take her to say 175

Answers

You will start off with $175-$10=$165. Then you will take your $165 and divide by $15 to get the answer. $165÷$15=11 months to save the money.

Find the value of the algebraic expression for the given values of the variables.
x2 − 3y3 + 4z for x = −4, y = −2, z = 6

Answers

x² - 3y³ + 4a ; When x = -4, y = -2, z = 6

Simply plug in -4 for x, -2 for y, and 6 for z in the given equation.

(-4²) + {-3(-2³)} + 4(6)

Simplify.

16 + -3(-8) + 24

Simplify.

16 + 24 + 24

Simplify.

40 + 24

Simplify.

64

~Hope I helped!~

If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?

Answers

3x + 8x + 4x = 6x + 63
15x = 6x + 63
9x = 63
  x = 7

so
5x+ 23 =5(7) + 23 = 35+23 = 58
3x+8x+4x=6x+63
First, since almost everything is together, combine like terms

15x=6x+63

Now, subtract 6x from both sides

9x=63

Now divide both side by 9

x=7

Now that we have found what x equals, we need to plug in the variable into 5x+23

5(7)+23

Now just simplify

35+23= 58
Therefore, 5x+23 when x=7 is 58

Which is bigger 0.21, 21%

Answers

21% is bigger than 0.21


I really need help!!
TJ, Max, and Misha are all the same age. The sum of their ages is s years. How old was TJ eight years ago?
Thanks!

Answers

TJ was 3 eight years ago

Answer:

(s divided by 3)-8

Step-by-step explanation:

It's an expression :>

The school orchestra is creating a cd of their last concert

Answers

I cannot answer this problem if you did not finish the question thank you

Benito rune 1/10 of a mile each day. Which shows how to find the number of days it will take for Benito to run 3/5 of a mile

Answers

6 days to run 3/5 miles
very simple:
3/5=6/10
and it will take him 1 day to run 1/10 of a mile, so it will take 6 days to let him finish 3/5.

Simplest form 1/8 x 20=

Answers

1/8 x 20 = 20 / 8 = 2.5 (Decimal Form) or [tex] 2 \frac{1}{2}[/tex](Mix Form) or [tex] \frac{5}{2}[/tex](Improper Form)

The simplest form of the given expression is 5/2.

What is simplest form?

Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.

The given expression is 1/8 ×20.

Here, 20/8

= 10/4

= 5/2

Therefore, the simplest form of the given expression is 5/2.

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Suppose 80​% of kids who visit a doctor have a​ fever, and 25​% of kids with a fever have sore throats.​ What's the probability that a kid who goes to the doctor has a fever and a sore​ throat?

Answers

So what you do is find 25% of 80% of 100%. So, 8 out of 10 kids have a fever, and 2 out of 8 kids have a sore throat. So you would have 5 out of 10 kids have a sore throat, and a fever

An airplane takes off with a full tank of 40,000 gallons of fuel and fillies at an average speed of 550 miles per hour. After 8 hours in flight, there are 14,000 gallons of fuel left. It will take another 3.5 hours for the plane to reach its destination. How much fuel will be left in the tank when the plane lands? What is the total distance of the flight?

Answers

Gallons of fuel used per hour
=(40000-14000)÷8
=3250

Fuel left
=14000-3.5(3250)
=2625

Total distance
=550×(8+3.5)
=6325miles

find properties to find 4 x 23 x 25

Answers

You can use distributive property or multiply.

[tex]30.76*0.08[/tex]

Answers

2.4048 your computer has a calculater too

your answer would be 30.76*0.08=2.4608

Jack says 0.90 is between 0.9 and 0.91. Is he correct? Explain.

Answers

Well, 0.90 is actually equal to 0.9. It is less than 0.91 and equal to 0.9 so that means it is not correct. 

I hope this helps:)

If the perimeter of a square is 3 feet, how many inches long is each side of the square

Answers

9 inches

3 feet= 36 inches
36÷4=9
3 feet=36 inches
36 divide by 4=9
The answer is 9 inches.

what are three ways you can solve a proportion?

Answers

There are three main methods for solving a proportion.

1) Vertical
2) Horizontal
3) Diagonal (often called "cross-products")

In this exercise we have to explain the three possible methods of solving a proportion, as follows:

1) Vertical

2)Horizontal

3)Diagonal

What is proportion?

It is the equality between two or more ratios derived from measurements extracted from quantities. When two ratios have the same result, we say they are proportional. If these ratios represent measures of some magnitude, we also say that they are proportional.

So we know that a proportion is given by the equality between two ratios and the resolution process consists of the following situation: “the product of the extremes is equal to the product of the means” or using the eventual cross multiplication.

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at a yard sale you find 5 paperback books by your favorite author. each book is $0.75. write a rule for the amount (in dollars) you spend as a function of the number of books you buy.

Answers

y = 0.75x....where y is the total cost and x is the number of books

or it could be f(x) = 0.75x...in function notation

The function for the amount of money left after buying books is y = 10 - 0.75x.

Let x represent the number of books you buy. Each book costs $0.75, so the total cost for x books is 0.75x. You start with $10.

Therefore, the amount of money you have left, y, can be represented by the function:

y = 10 - 0.75x

For example, if you buy 3 books, the remaining money would be:

y = 10 - 0.75(3)

= 10 - 2.25

= 7.75

The complete question is:

At a yard sale, you find 5 paperback books by your favorite author.  You have $10 in each book is priced at $0.75. Write a rule for the amount of money you have left as a function of the number of books you buy.

Show how to solve the problem 378 times 6 using place value with regrouping. Explain how you knew when to regroup

Answers

378 x 6 as (300 x 6) + (70 x 6) + (8 x 6) = 1800 + 420 + 48 = 2268

Answer:

2268

Step-by-step explanation:

We have to solve the problem 378 dimes 6 using place value.

Place of 8 in 378 = once

Place of 7 in 378 = Tens

Place of 3 in 378 = Hundred

Now we can write this number as ( 300 + 70 + 8 )

( 300 + 70 + 8 ) × 6 = (300) × 6 + 70 × 6 + 8 × 6

                                = 1800 + 420 + 48

                                = 2268

All social science theories of child socialization emphasize:

Answers

All social science theories of child socialization emphasize different aspects of socialization.
Remember to put me in the brain list answer ;)

What is the coefficient in the expression 2x/7+2

Answers

You can rewrite the term 2x/7 as (2/7)x, so your coefficient, in this case, would be 2/7, and your constant would be 2.

The coefficient of the expression 2x/7 + 2 will be 2/7.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2x/7 + 2

Now,

The coefficient of x is the number which is multiply with the x.

So, The expression is,

⇒ 2x/7 + 2

⇒ (2/7) x + 2

The coefficient of x in the expression is;

⇒ 2/7

Thus, The coefficient of the expression 2x/7 + 2 will be 2/7.

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Your family took a road trip on Saturday. You were in the car for 4.5 hours and averaged 70 miles per hour. How many miles did you travel?
equation:
( pls explain how i got the answer)

Answers

You traveled 315 miles because 70 miles times 4.5 hours would be 315

How do you simplify algebraic frations

Answers

By dividing whatever your number is to smaller numbers.

a gallon of chocolate milk sells for $3.14. a snack-size bottle of chocolate milk sells for 3 cents per ounce. which is a better buy?

Answers

A snack-size bottle of chocolate milk is better because it cost less.

A gallon of chocolate milk will cost less than snack size bottle so it will be better to buy.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given,

1 gallon ↔ $3.14

Since, 1 gallon = 128 ounce and $1 = 100 cents

128 ounce ↔ 314 cents

So,

1 ounce ↔ 2.453 cents

Now,

Snack-size bottle cost ⇒

1 ounce ↔ 3 cents.

Hence " a gallon of chocolate milk is cheap and batter to buy".

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Since a middle school​ opened, the
girls'
basketball team has had the same record every season. The team has won a total of
84
games while losing only
6
games. Find the constant of proportionality of wins to losses.

Answers

subtract 84 to 6 and you get the answer 80 then divide that by 2 and you get the final answer which is 40

The constant of proportionality of the girls' basketball team's record, with 84 wins to 6 losses, is 14.

The constant of proportionality in the context of a basketball team's win-loss record is calculated by dividing the total number of wins by the total number of losses. As the team has won a total of 84 games and lost 6 games, the constant of proportionality is 84 divided by 6, which equals 14. This means that for every loss, the team has approximately 14 wins.

What is the greatest whole number that rounds to 54’300

Answers

If that is 54.300 the greatest whole number would be 54 if it is supposed to be 54,300 then it would stay the same and be 54,300

Answer:

→If rounding is done at Tenth place, and if

    Number are from , 54295 to 54,300 .All these numbers when rounded at unit place , it rounds to 54,300.

→If rounding is done at Hundreth place, and if

    Number is from , 54250 to 54,300 .All these numbers when rounded at Hundreth place , it rounds to 54,300.

→The greatest whole number that rounds to 54’300 will be =54,300

→If rounded at Unit place , it will be a decimal number,so greatest decimal number =54,299.999999...

→If rounded at tenth place, Greatest number=54,299

→If rounded at Hundred's Place , greatest number=54,299

As it is not given that,we have to round from which digit, either ones,Tens, Hundreds, Thousands........

about how much would it cost to buy 4 CD/MP3 players and 3 MP3 players... CD Players $74.00... MP3 $99.00

Answers

CD Players: $296
MP3 Players: $297

Why would either of those cost that much though?
if buying 1 CD player costs $74 and an MP3 player cost $99 dollars, then 74x4= $296 for 4 CD players, and 99x3= $297 for 3 MP3 players

A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is translated 3 units down. What are its new coordinates?
A (5,3), (-1,-5), (1,4)
B (2,6), (-4,-2), (-2, 7)
C (2,0), (-4,-8), (-2, 1)
D (-1,3), (-7,-5), (-5,4)

I need this done fast

Answers

C (2,0) (-4,-8)(-2,1)

translated 3 units down means the x stays the same and you subtract 3 from the Y

 so (2,3) becomes (2,0)

 (-4,-5) = (-4,-8)

 and (-2,4) = (-2,1)

 so new coordinates are C. (2,0), (-4,-8), (-2,1)

Cheryl buys a suitcase that is 36 inches long, 22 inches wide, and 16 inches deep. How much space does the box take up?

Answers

12,672 inches is its volume.
12,672 is the volume for the answer
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