Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.

1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12

Answer:

5x is the GCF

Step-by-step explanation:

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

Answer:

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The number of outcomes in the sample space is 6.

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

To learn more on probability click:

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According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

for such more question on regression equation

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Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

Answer:

32.34

Step-by-step explanation:

9.35 + 9.35 + 6.82 + 6.82=32.34

Your welcome.

Answer:

3/32

Step-by-step explanation:

9/16 × 3/4=27/144=3/16×1/2=3/32

Answer: 27

Step-by-step explanation:

Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

Answer:

Step-by-step explanation:

b line segment

Answer:

m = -11/7

Step-by-step explanation:

change equation into slope-intercept form:

7y = -11x + 2

y = -[tex]\frac{11}{7}[/tex]x + 2/7

slope is the coefficient of the 'x' term

the answer for your question is 1 1/2

2/25

4/50

8/100

this are the smallest fractions equivalent to 8%

Answer:

8/100

Step-by-step explanation:

8% = 0.08 = 8/100

let me know if you need more of an explaination <33

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Learn more on the amount here:
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Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Answer:

13 I think

Step-by-step explanation:

So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol

Answer:

3

Step-by-step explanation:

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

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