what is the factor of -12n - 20

Answers

Answer 1

Answer:

-12n - 20 = -2(6n + 10)

Step-by-step explanation:

-12n - 20

-12n = (-2)(6n)

-20 = (-2)(10)

-12n - 20 = (-2)(6n+10)


Related Questions

Match the tiles to the correct boxes to complete the pairs.


Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.

1. cosB
2. tanC
3. sinB
4. tanB

A) c/b
B) b/a
C) b/c
D) c/a


Random answers will be reported!

Answers

Answer:

1 → D

2 → A

3 → B

4 → C

Step-by-step explanation:

You need to remember that:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}\\\\sin\alpha=\frac{opposite}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]

Then:

-For angle B, you can identify in the figure that:

[tex]opposite=b\\adjacent=c\\hypotenuse=a[/tex]

Then, you can substitute values and get:

[tex]cosB=\frac{c}{a}[/tex]

[tex]sinB=\frac{b}{a}[/tex]

[tex]tanB=\frac{b}{c}[/tex]

- For angle C, you can identify in the figure that:

[tex]opposite=c\\adjacent=b[/tex]

Therefore, substituting values, you get that:

[tex]tanC=\frac{c}{b}[/tex]

Answer:

1. cosB = c/a

2. tanC = c/b

3. sinB = b/a

4. tanB = b/c

Step-by-step explanation:

Plato Answer!!

Pre Cal | Multiple Choice | Apex

Which conic section does the equation below describe?

( x-9 )^2/4 + ( y+2 )^2/25=1

A. Circle

B. Ellipse

C. Hyperbola

D. Parabola

Answers

Ellipse is your answer, because if you plug the equation into a graphing calculator and identify the conic, the term ellipse is given-

A basketball court is 150 feet from the net to net how many yards make up a basketball court

Answers

I believe you just multiply 150x3 and get 450

A basketball court that is 150 feet long is equivalent to 50 yards, calculated by dividing the total length in feet by the conversion factor of 3 feet per yard.

To determine how many yards make up a basketball court that is 150 feet in length, we use the conversion factor that 1 yard equals 3 feet. Therefore, we divide 150 feet by 3 to convert feet to yards:

150 feet / 3 = 50 yards.

Thus, a basketball court that is 150 feet long is 50 yards long. This is a calculation often used in converting units, an essential skill in mathematics and various practical contexts, such as sports, construction, and everyday measurements. Knowing how to convert between feet and yards can be useful in understanding the dimensions of a playing field, like a basketball court or football field.

Why is it important to use equation in math?

Answers

Answer:

Because it is

Step-by-step explanation:

You don't need to. You can explain yourself using words but it takes ages that way. You use equations to solve problems, equations, and later on with functions and methods as you develop your math career. All I can say is, don't ignore it.

Answer:

An equation is the mathematical representation of those two things which are equal, one on each side of an 'equals' sign. Equations are useful to solve math problems in which multiple numbers are in the need of being solved.. Most of the times we take pre-algebra help to resolve real life problems.

Step-by-step explanation:

PLZZ MARK BRAINLIST!!!!!

Will bought a package of 24 juice bottles for $7.44. Which equation relates the cost , c of a package of juice bottles to the number of bottles, b, in the package?

Answers

7.44÷24=c because to find the unit price you need divide 7.44 by 24

Answer:

c=0.31b

Step-by-step explanation:

$7.44 divided by 24 = 0.31

Please explain your answer as well. THX!!!

Answers

Answer:

Third Option

[tex]P(x\geq 9) =0.212[/tex]

Step-by-step explanation:

Note that the variable x is a discrete random variable that can be modeled using a binomial distribution. For a discrete random variable the probability that x is greater than a number b is:

[tex]P(x\geq b) =\sum_{x=1}^{b}{P(x)} = P(1) + P(2) + P(3) + ... + P(b)[/tex]

In this case we look for the probability of selecting 9 or more girls

This is:

[tex]P(x\geq 9) =\sum_{x=9}^{14}{P(x)} = P(9) + P(10) + P(11) +P(12)+ P(13) + P(14)[/tex]

Looking in the attached table we have to

[tex]P(x\geq 9) =0.122 + 0.061 + 0.022 + 0.006+ 0.001 + 0[/tex]

[tex]P(x\geq 9) =0.212[/tex]

how to find the average rate of change of a function

Answers

ANSWER

Average Rate of Change

[tex] = \frac{f(b) - f(a)}{b - a} [/tex]

EXPLANATION

To find the average rate of change of y=f(x) from x=a to x=b means finding the slope of the secant line joining the points

(a,f(a)) and (b,f(b))

The slope of the secant line joining these points is

[tex] = \frac{f(b) - f(a)}{b - a} [/tex]

This gives the average rate of change of the function.

Final answer:

To find the average rate of change of a function, you need to subtract the function values at two different points and divide by the difference in the input values.

Explanation:

To find the average rate of change of a function, you need to calculate the change in the function's output divided by the change in its input. This can be done by subtracting the function values at two different points and dividing by the difference in the input values. For example, if you have a function f(x) and want to find the average rate of change between x = a and x = b, you would use the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

This will give you the average rate at which the function is changing over the interval from a to b.

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Please help!
Which is the equation of the given line?

A: y = –2x
B :x = 4
C: y = x
D: y = 3

Answers

Still don't know what the given line is, so I'm just going to attach images of the graphs of each equation.

Graph 1: y = -2x

Graph 2: x = 4

Graph 3: y = x

Graph 4: y = 3

Hope this helps!

helppppp due toarrow very easy simple

Answers

132+396=528 is 100%

132 is ?%

?=132x100/528=25%

Answer is 25% ate CFA

Answer:

25%

Step-by-step explanation:

Although the problem statement doesn't say so, you have to find the total number of people who bought hamburgers.  It's 132 + 396, or 528.

132 people out of a total of 528 people ate at Chick-a-Fil.  This comes to

132

------- = 0.25, or 25%

528

You must write out your conclusion:  "25% of these people ate at Chick-a-Fil.

suppose a fair coin is tossed and a six-sided number cube is rolled. what is the probability that the coin lands on tails in the outcome on the number cube is a number less than 3? A.) 1/6 B.) 1/12 C.) 1/9 D.) 1/3​

Answers

Hey

Since a coin has 1/2 chances on both sides and a six-sided cube has 1/3 chance of getting a less than three, multiply those chances and you will get the probability of 1 / 6

So the answer is option A, [tex]\frac{1}{6}[/tex]

The probability that the coin lands on tails in the outcome on the number cube is a number less than 3 is 1/6.

What is the probability that the coin lands on tails in the outcome on the number cube is a number less than 3?

Given:

Suppose a fair coin is tossedAnd a six-sided number cube is rolled.

Find:

The probability that the coin lands on tails in the outcome on the number cube is a number less than 3.

Solution:

A coin is tossed and a six-sided cube is rolled.

We have to find the probability of getting a tail on the coin and a number less than 3 in the cube.

The probability of getting a tail in the coin is 1/2.

The probability of getting a number less than 3 is 2/6 = 1/3.

Probability of getting a tail on the coin and a number less than 3 on a cube is 1/2*1/3 = 1/6.

Hence, The probability that the coin lands on tails in the outcome on the number cube is a number less than 3 is 1/6.

Therefore, Option A is the correct answer.

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Which of the following payments is the same amout each time it is paid? A) Property Taxes B) PMI C) Interest D) Principal

Answers

The payment that is the same amount each time that it is paid is given as follows:

B) PMI.

What is the monthly payment formula?

The monthly payment formula is defined as follows:

[tex]PMI = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which the parameters are listed and defined as follows:

P is the initial amount, also known as the principal.r is the interest rate.n is the number of payments.

The monthly payment is calculated before a purchase is made, meaning that it assumes the same amount each time it is paid, and thus option B is the correct option in this problem.

The principal is a one time payment, while taxes and interest vary over time.

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Final answer:

In a thirty-year fixed-rate mortgage, the principal portion of the payment is the same amount each time it is paid, while the interest decreases over time, thus maintaining a consistent total payment amount.

Explanation:

The student is asking which of the following payments is the same amount each time it is paid: Property Taxes, PMI (Private Mortgage Insurance), Interest, or Principal. The answer is Principal in the context of a thirty-year fixed-rate mortgage.

This type of mortgage has a consistent monthly payment that includes both the principal and the interest. Early in the loan, the payment consists of more interest than principal, but as the loan matures, the portion of the payment that goes towards the principal increases while the interest portion decreases.

This ensures that the total payment amount remains the same throughout the life of the loan.

Example of Principal Payment Over Time

If you have a thirty-year fixed-rate mortgage, your monthly payment is calculated at the outset to ensure that each payment is the same, even though the principal paid increases over time as the outstanding balance of the loan decreases.

Which of the following statements is true?

Answers

Answer:

D

Step-by-step explanation:

If x° and y° are complementary angles, then x°+y°=90° and

[tex]\sin x^{\circ}=\cos y^{\circ} \ [\text{Cofunctions rule}][/tex]

Check all options:

A. 18°+72°=90°, so

[tex]\sin 18^{\circ}=\cos 72^{\circ}\ [\text{true}][/tex]

B. 55°+55°=110°, these angles are not complementary and

[tex]\sin 55^{\circ}\neq\cos 55^{\circ}\ [\text{false}][/tex]

C. 72°+18°=90°, so

[tex]\sin 72^{\circ}=\cos 18^{\circ}\ [\text{true}][/tex]

D. Both A and C are true.

What is the surface area of the figure shown?
484.8 square inches
500.8 square inches
452.8 square inches
404.8 square inches

Answers

Answer:

The surface area is [tex]404.8\ in^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the figure is equal to

[tex]SA=2B+PL[/tex]

where

B is the area of the trapezoidal face

P is the perimeter of the trapezoidal face

L is the length of the figure

Find the area of B

[tex]B=\frac{1}{2}(15+5)8\\ \\B=80\ in^{2}[/tex]

Find the perimeter P

[tex]P=(8+5+12.8+15)=40.8\ in[/tex]

we have

[tex]L=6\ in[/tex]

substitute the values

[tex]SA=2(80)+(40.8)(6)=404.8\ in^{2}[/tex]

What number should be added to both sides of the equation to complete the square? X^2-6xx=5

Answers

Answer:

9

Step-by-step explanation:

To complete the square, divide the coefficient of the b term 6x in two. This becomes -6/2=-3. Now square the number -3 and it becomes 9. To complete the square add 9 to both sides.

Answer:

9

Step-by-step explanation:

[tex]x^2-6x = 5\\[/tex]

We know the binomial formula: [tex](a-b)^2 = a^2 -2ab + b^2[/tex]

Let's consider 6x = 2ab, we know a is our first term - x;

6x = 2axb

6 = 2b

b = 3

So to make a perfect square, we need to add [tex]b^2[/tex] to both sides

[tex]x^2 - 6x + 3^2 = 5 + 3^2\\x^2 - 6x + 9 = 5 + 9\\(x-3)^2 = 14[/tex]

Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) BC AB = CD DE B) BC AB = DE CD C) AB BC = CD DE D) AB BC = DE CD

Answers

Answer:

Option C. AB/BC=CD/DE

Step-by-step explanation:

we know that

In the triangle ABC the slope is equal to

m=AB/BC -----> equation A

In the triangle CDE the slope is equal to

m=CD/DE -----> equation B

Remember that the slope of a line is a constant

so

equate equation A and equation B

AB/BC=CD/DE

Answer:

C is the answer

Step-by-step explanation:

identify the correct trigonometry formula to use to solve for x.

Answers

Answer:

sin(62)=18/x

Step-by-step explanation: sine = opp/hyp

Answer: Third option.

Step-by-step explanation:

Given the right triangle in the figure attached, you know that, for the known angle of 62 degrees, the lenght of the opposite side is 18 and the hypotenuse is "x"

Therefore, you need to remember the following identity:

[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]

Then, having that:

[tex]\alpha=62\°\\opposite=18\\hypotenuse=x[/tex]

 You need to substitute these values into  [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex], then  you get that the correct trigonometry formula to use to solve for "x" is:

 [tex]sin(62\°)=\frac{18}{x}[/tex]

If x = 6 cm, what is the surface area of the geometric shape formed by this net?

A. 144 square cm.
B. 432 square cm.
C. 216 square cm
D. 576 square cm

Please explain because these still stump me

Answers

Answer:

the answer is D.  576 square cm

Step-by-step explanation:

Find the area of one of the rectangular faces using the formula, Area = lw.

A = (12 cm) (6 cm)

A = 72 square cm

Since there are 4 rectangular faces, multiply the area of one rectangular face by 4 to get a total of 288 square cm.

The area of one of the congruent squares is 12 cm × 12 cm, or 144 cm2. Multiply 144 cm2 by 2 to get a total of 288 cm2.

To find the surface area of the rectangular prism, add the area of the four rectangular faces to the area of the two square faces.

288 square cm + 288 square cm = 576 square cm

Plzzzz help
1) Given f(x)=x+4 and g(x)=12x-6, what is f(3)+g(-1)?

A.) 22
B.) 33
C.) -11
D.) 11

2) what is f(x).g(x) if f(x)= 2x+3 and g(x)=4x?
A) 6x+3
B) 6x^2+12
C) 8x^2+12
D) 8x+3

3) f(x)=2x-3 and g(x)=4x what is f(2)-g(3)

A) 15
B) -11
C) -15
D) -5

Answers

Answer:

1) C.) -112) C.) 8x² + 12x3) B) -11

Step-by-step explanation:

1)

f(x) = x + 4

f(3) = 3 + 4 = 7

g(x) = 12x - 6

g(-1) = 12(-1) - 6 = -12 - 6 = -18

f(3) + g(-1) = 7 + (-18) = -11

2)

f(x) = 2x + 3, g(x) = 4x

f(x) · g(x) = (2x + 3)(4x)             use the distributive property

f(x) · g(x) = (2x)(4x) + (3)(4x)

f(x) · g(x) = 8x² + 12x

3)

f(x) = 2x - 3

f(2) = 2(2) - 3 = 4 - 3 = 1

g(x) = 4x

g(3) = 4(3) = 12

f(2) - g(3) = 1 - 12 = -11

1) Given f(x)=x+4 and g(x)=12x-6, what is f(3)+g(-1)?

C) -11

2) what is f(x).g(x) if f(x)= 2x+3 and g(x)=4x?

C) 8x^2+12

3) f(x)=2x-3 and g(x)=4x what is f(2)-g(3)

B) -11

(-3+2i)•(2+i) simplify

Answers

Answer:

(-8+i )

Step-by-step explanation:

We'll multiply these 2 binomials like any other pair of binomials: using the FOIL method.

(-3+2i)•(2+i) after being FOILed is:

(-3•2)+(-3•i)+(2i•2)+(2i•i)

this equation simplified equals

-6-3i+4i+2i²

Whenever we see , we should know that is equals -1, so our equation rewritten again is

-6-3i+4i+(2•-1)

Simplifying that, we get

-6-3i+4i+-2

From here, we just continue to simplify by subtracting  2 from −

6.

−8−3i+4i

Finally, add −3i and 4i to get our answer of

−8+i

the base of a triangle is 3 cm greater than the height the area is 44 cm squared find the height and base of the triangle​

Answers

The base is 11 cm and the height is 8 cm.

What is the estimate for the probability of selecting a red crayon OR a yellow crayon from the bag?

Answers

Answer: It would be both because there is no number to it

Step-by-step explanation:

For example if there were 15 red crayons and 10 yellow ones it would be the red crayons because there is a bigger amount of them in the bag but because there is no number you have the same possibility of picking both.  

To estimate the probability of selecting a red crayon OR a yellow crayon from the bag, calculate the individual probabilities of each color and use the OR probability formula to find the estimate.

Estimate for the probability of selecting a red crayon OR a yellow crayon from the bag:

Calculate the individual probabilities of selecting a red crayon and a yellow crayon.Use the formula P(A OR B) = P(A) + P(B) - P(A AND B) to find the estimate for the probability of selecting a red crayon OR a yellow crayon.Substitute the individual probabilities into the formula to get the final estimated probability.

what is the gcf of 18 and 54​

Answers

Answer:

18 is the GCF

Step-by-step explanation:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Answer is provided in the image attached.

You and your mom enter a drawing with three different prizes. A total of eight people entered the drawing and prizes are awarded randomly.

There are 336 ways to award the prizes.

What is the probability that you win first prize and your mom won second prize?

Answers

Answer: C. [tex]\dfrac{6}{336}[/tex]

Step-by-step explanation:

Given: The number of different prizes = 3

The number of people entered the drawing = 8

The total number of ways to award the prizes. = 336

Now, The number of ways to select for 3 prizes, such that  you win first prize and your mom wins second prize is given by :-

[tex]1\times1\times(8-2)=6[/tex]

Hence, the probability that you win first prize and your mom wins second prize=[tex]\dfrac{6}{336}[/tex]

which equation is equivalent to the equation 5x-7y=-70
A.y=-7/5x-14

B.y=7/5x+14

C.y=5/7x-10

D.y=5/7x+10​

Answers

Answer:

[tex]\large\boxed{D.\ y=\dfrac{5}{7}x+10}[/tex]

Step-by-step explanation:

[tex]Ax+By=C\qquad\text{it's a standard form of an equation of a line}\\\\\\y=mx+b\qquad\text{it's a slope-intercept form of an equation of a line}\\\\\text{We have the equation in the standard form:}\\\\5x-7y=-70\\\\\text{Convert it to the slope - intercept form:}\\\\5x-7y=-70\qquad\text{subtract 5x from both sides}\\\\-7y=-5x-70\qquad\text{divide both sides by (-7)}\\\\y=\dfrac{5}{7}x+10[/tex]

Estimate the volume of a rectangular prism with a length of 5.6 ft, a width of 8.8 ft, and a height of 10.9 ft.

Answers

it might be wrong but i am pretty sure it’s right but 537.15

Answer:

The estimated volume would be 594 feet.

Step-by-step explanation:

Well, since this is an estimate you should round all your numbers and multiply them together.

5.6 is rounded to 6

8.8 is rounded to 9

and 10.9 is rounded to 11

Multiply 6 and 9 and you get 54. Then multiply 54 by 11 and that gives you 594.

- Your freshman friend :)

Multiply out 5x(2x-3y)

Answers

You start by distributing the 5x, so that it’s 5x(2x) and 5x(3y). That becomes 10x^2 and 15xy. Put it back, and it’s 10x^2 - 15xy.

Expand

5x × 2x + 5x × -3y

Rake out the constants

(5 × 2)x + 5x × -3y

Simplify 5 × 2 to 10

10x + 5x × -3y

Use the product rule: x^ax^b = x^a + b

10x^2 + 5x × -3y

Simplify 5x × -3y to -15xy

= 10x^2 - 15xy

Which of the following is a continuous random variable?

a. The number of employees in an office

B. The salaries of employees in an office

C. The numbers of printers in an office

D. The number of phone calls made daily from an office.

Answers

Answer:

B:  The salaries

Step-by-step explanation:

B:  The salaries.  While not strictly continuous, the range of salaries is closest of these four choices to being continuous.  In contract, "number of employees," "number of printers," and "number of phone calls" are all discrete random variables.

The statement at D "The number of phone calls made daily from an office" is a continuous random variable.

What is meant by a continuous random variable?

A random variable is defined for all the values in an interval or between two values.

Verifying the given statements:

A. The number of employees in an office.

It is a constant value. It's not a continuous random variable.

B. The salaries of employees in an office

It is a constant value. It has only one value means represented in a closed interval. So, not a continuous random variable

C. The number of printers in an office

This is also a constant value. So, not a continuous random variable

D. The number of phone calls made daily from an office

The number of phone calls made daily, may not be the same and are continuous. If the interval of a month, there may be a different number of phone calls. So, it is a continuous random variable.

So, option D is correct.

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PLS HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

78°

Step-by-step explanation:

The angular distance of an arc is twice the angle that forms it if that angle lies of the edge of the circle.

By this, Arc AK has angular distance 158°.

Arc JL = 202°.

Arc KL = 122°.

By subtracting these we get 80° for Arc JK.

Arc KA = 158°.

Arc AJ = KA - JK

AJ = 158-80

AJ = 78°

If you are given 3 checks,one for 36.98, another for 17.27,and A third for 260 dollars,how much is the total of all 3 checks

Answers

Answer:

314.25

Step-by-step explanation:

To find the total of all three checks, we add them together, lining up the decimals

 36.98

  17.27

260.00

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

314.25

The total is 314.25

Which factorization is equivalent to 6x2 + 7x − 10? A) (6x + 5)(x + 2) B) (6x − 5)(x + 2) C) (6x + 5)(x − 2) D) (6x − 5)(x − 2)

Answers

The answer is B (6x-5)(x+2)

Answer:

B) (6x-5)(x+2)

Step-by-step explanation:

Distribute each until you find the answer:

A) 6x^2+17x+10

B) 6x^2+7x-10

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