Factor completely.
Y^2-12y+32

A. (y+4)(y+8)
B. (y-4)(y-8)
C. (y+18)(y + 2)
D. (y-18)(y-2)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

y² - 12y + 32

consider the product of  factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

the factors are - 4 and - 8 , since

- 4 × - 8 = + 32 and - 4 - 8 = - 12 , then

y² - 12y + 32 = (y - 4)(y - 8)

Answer 2

Answer:

B. (y-4)(y-8)

Step-by-step explanation:

Given equation: y² - 12y + 32. Essentially, we are going to find two numbers that multiply to 32 and add up to -12.

1) Pull out the factors of 32 and find the pair that multiply to 32 and add up -12.

They are: -8 and -4.

2) Rewrite the b of the original quadratic equation as a sum, then factorise by grouping.

y² - 8y - 4y +32

y(y - 8) - 4(y - 8)

(y - 4)(y -8)


Related Questions

Which polygon has an interior angle sum of 1260°?

Answers

Answer:

Step-by-step explanation:

Solution

Interesting question.

The formula for the sum of the interior angles is

(n - 2)*180 = x

In this case, x = 1260

(n - 2)*180 = 1260                            Divide both sides by 180

(n -2 )* 180/180 = 1260/180

( n - 2) = 7                                         Remove the brackets

n - 2 = 7                                            Add 2 to both sides

n - 2 + 2 = 7 +2                                 The 2s on the left cancel

n = 9

Answer: Nonagon

The polygon with an interior angle sum of 1260° is the nonagon as per the concept of interior angles.

To find the sum of the interior angles of a polygon, we can use the formula:

Sum of interior angles = (n - 2) × 180°

where "n" is the number of sides of the polygon.

To achieve an interior angle sum of 1260°, we would need to consider a polygon with fewer sides.

For example, a nonagon (9 sides) would have an interior angle sum of 1260°:

Sum of interior angles = (9 - 2) × 180°

Sum of interior angles = 7 × 180°

Sum of interior angles = 1260°

So, a nonagon (a polygon with nine sides) has an interior angle sum of 1260°.

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PLEASEEE HELP!!!!!!!

Answers

It’s the number 4. Trust me

PLS ANSWER BOTH OF THESE QUESTIONS

WILL MARK BRAINLIEST

EXPLANATION IS NOT NEEDED

Answers

Here are the awnsers

1. D ⅔

2.C 60%

Pls help
Geometry
What is the volume?

Answers

Answer:

199.5 ft^3

Step-by-step explanation:

to find your answer you simply multiply all the measurements together

19 * 1.5 * 7 is your equation

19 * 1.5 * 7 = 199.5

it is 199.5 ft^3

The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase. Use this function to complete the statements below.

The value of this car is decreasing at a rate of ______
Describe how an exponential function model helped you answer this question.
*will give brainliest!

Answers

The value of this car is decreasing at a rate of 6% per year.

The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,

V(t) = 38000 (0.94)^t
Cleary, above function is an exponential function
while putting certain values in equation we have certain outcomes.
for,
V(1) = 35720;    V(2) =33576.8;      V(3) = 31562.192

Now, the rate of change is given by = [V(2)-V(1)/ V(1)] x 100
= [(33576.8-35720)/35720]*100
= 6%

now V(2) x 6% = V(3)
33576.8 x 6% = 31562.192 = V(3)

Thus, The required rate of decreasing care price is 6%.

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points X, Y, and Z are colinear.
X
What is the slope of YZ in simplest form?

Answers

Based on the calculations, the slope of line YZ in simplest form is equal to 2.

How to determine the slope of YZ?

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.

Substituting the parameters into the formula, we have;

[tex]Slope, m = \frac{6\;-\;0}{3\;-\;0}[/tex]

Slope, m = 6/3

Slope, m = 2.

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which number best represents the slope of the graphed line -5,-1/5,1/5,5

Answers

The slope of the line will be – 1/5. Then the correct option is B.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Take two point from the graph.

(0, 2) and (1, –3)

Then the slope will be

m = (2 – (–3)) / (0 – 1)

m = 5 / (–1)

m = – 1/5

Then the correct option is B.

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What is 0.6% as a fraction in simplest form

Answers

Answer:

3/500

Step-by-step explanation:

.6%   = .006   =    6/1000  = 3/500

Simplify the expression.

Answers

Answer:

4x

Step-by-step explanation:

[tex]\frac{500x^{4} }{(5x)^{3} }[/tex] = [tex]\frac{500x^{4} }{125x^{3} }[/tex] = [tex]4x[/tex]

What is the value of the sum?
Drag and drop the answer into the box to match the sum with its value.
-7/9+2/3

Answers

The answer is -1/9. If you have any questions let me know

Completely simplify the rational expression 6-(x-1)/(x+1)

Answers

Answer:

-x + 7 / x + 1

Step-by-step explanation:

6 -(x - 1)/ x + 1

Apply distributive law: -(x - 1) = -x + 1

= 6 - x + 1 / x +1

Group like terms:

= -x + 7/ x + 1

Answer:  its 5x+7/x+1

Step-by-step explanation:

Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?

Equilateral triangle prism with two equilateral triangles and three rectangles
Pentagonal prism with one pentagon and five rectangles
Rectangular prism with four rectangles
Square prism with four squares

Answers

The 3-D figure and combination of shapes that Scarlett can use is A. Equilateral triangle prism with two equilateral triangles and three rectangles

What is a 3-D Figure?

This refers to the solid figure or shape that has defined dimensions of length, width, and height.

Therefore, based on the fact that a 3-D figure is made up of six equal squares, option A is the best answer because it contains a total of six squares.

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Round
8724 to the nearest whole number ​

Answers

Round

8724 to the nearest whole number is 8720

How could you correctly rewrite the equation 4(5 + 3) = 2(22-6) using the distributive property ?

Answers

Answer 20 + 12 = 44 - 12
32 = 32
Step by step
The number outside the ( ) is multiplied by the numbers inside the ( )
So 4 x 5 and 4 x 3
And 2 x 22 and 2 x -6

Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.
Hint:

It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.
Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle. Compare the triangles made by two circles with different radii.

Answers

The arcs intersected by these chords are not congruent.

Given that two circles with different radii have chords AB and CD, such that AB is congruent to CD.

Let r₁ and r₂ be the radii of two different circles with centers O and O' respectively.

Assuming that the each of the ∠АОВ  and ∠CO'D is less than or equal to π.

Then, we have isosceles triangle AOB and CO'D such that,

AO = OB = r₁,

CO' = O'D = r₂,

Let us assume that r₁< r₂;

We can see that arc(AB) intersected by AB is greater than arc(CD), intersected by the chord CD;

arc(AB) > arc(CD)      .......(1)

Indeed,

arc(AB) = r₁ angle (AOB)

arc(CD) = r₂ angle (CO'D)

So, we have to prove that ;

∠AOB >∠CO'D       ......(2)

Since each angle is less than or equal to π, and so

∠AOB/2  and ∠CO'D/2 is less than or equal to π

it suffices to show that :

tan(AOB/2) >tan(CO'D/2) ......(3)

From triangle AOB :

tan(AOB/2) = AB/(2*r₁)

tan(CO'D/2) = CD/(2*r₂)

Since AB = CD and r₁ < r₂ (As obtained from the result of (3) ), therefore, arc(AB) > arc(CD).

Hence, for two circles with different radii have chords AB and CD, such that AB is congruent to CD but the arcs intersected by these chords are not congruent.

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barbara works at a law office as an entry level lawyer. She spends 2/5 of her time at the law office doing paperwork. How many hours does she have to work to spend 10 hours doing paperwork.

Answers

Answer:

25 hours.

Step-by-step explanation:

Let the hours worked be x

2/5x = 10

2x = 50

x = 25

She has to work 25 hours to spend 10 hours doing paperwork.

 There are 130 passengers in the plane they both want headphones and blanket we have 106 headphones and 156 blanket how many passengers can have both headphones and blankets? Explain

A. 106
B. 130
C. 138
D. 156

Answers

Answer:

262 passengers can have both headphones and blankets .

Step-by-step explanation:

I hope it will help you

please help me asap...

Answers

Answer:

( x-7) ( x-5)

Step-by-step explanation:

x^2 -12x + 35

To factor this problem, we want to know that two numbers multiply to 35 and add to -12

-7 * -5 = 35

-7 + -5 = -12

( x-7) ( x-5)

Answer:

The answer is (x-7)( x-5)

Step-by-step explanation:

We need to find two numbers that add up to −12 and those same two numbers should have a product of 35

Here the common factors are -7 and -5 because when added they give -12 and when multiplied they give 35.

Therefore we write the answer as (x-7)(x-5)

help please! thanks so much!

Answers

Answer: D

Step-by-step explanation:

Answer: Choice D

Open hole at -3 with shading to the left.

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

Explanation:

The inequality [tex]-3 > \text{x}[/tex] is the same as [tex]\text{x} < -3[/tex]

When swapping both sides, the inequality sign flips as well.

Since we're looking for numbers smaller than -3, this includes things like -4, -5, -6, -7, and so on. Therefore we shade to the left of -3 on the number line.

We have an open hole at -3 to indicate it's not included as part of the solution set. We would include it if there as an "or equal to" as part of the inequality sign.

the polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=-4. the y-intercept . is y=-11.2
find a formula for P(x)=

Answers

The formula of P(x) = -0.7 (x-2)²(x+4)

What is a root of a polynomial ?

A root of a polynomial is defined as the point or value at which the overall value of the polynomial = 0

It is given that

for a polynomial of degree 3

root x=2, multiplicity 2:  (x-2)²

root x= - 4, multiplicity 1:  (x+4)                  ³ ²

P(x) = a(x-2)²(x+4)

here a is constant

y-intercept =  -11.2

P(0) = -11.2

a(0-2)²(0+4) = -11.2

a * 4 * 4  = -11.2

16a = -11.2

a = -11.2/(16)

a= -11.2/16

P(x) = -(11.2/16)(x-2)²(x+4)

P(x) = -0.7 (x-2)²(x+4)

Therefore the formula of P(x) = -0.7 (x-2)²(x+4)

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When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?

–1
–negative StartFraction one-half EndFraction
0
StartFraction one-half EndFraction.

Answers

The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)

Subtraction of fraction

Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction

1/2x = -1/2x

Subtract 4 from both sides

1/2x - 4 = -1/2x - 4

(x-8) / 2 = (-x-8) / 2

(x - 8) / 2 = (-x-8) / 2

cross product

2(x - 8) = 2(-x - 8)

2x - 16 = -2x - 16

2x + 2x = -16 + 16

4x = 0

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Answer:c

is the answer

Step-by-step explanation:

You start your working career when you are 24 years oldEach month, you deposit $144 into a pension planYou continue making deposits into the plan un you are 68 years oldWhat is the balance, in dollars, when the plan earns 6%, compounded monthly? Round your answer to the nearest cent

Answers

Using the monthly payment formula, it is found that the balance of the plan is of $26,731.23.

What is the monthly payment formula?

It is given by:

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

In which:

A is the monthly payment.P is the total amount.r is the interest rate.n is the number of payments.

The parameters for this problem are given as follows:

A = 144, r = 0.06, n = (68 - 24) x 12 = 528.

Then:

r/12 = 0.06/12 = 0.005.

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

[tex]144 = P\frac{0.005(1 + 0.005)^{528}}{(1 + 0.005)^{528} - 1}[/tex]

[tex]P = 144\frac{(1 + 0.005)^{528} - 1}{0.005(1 + 0.005)^{528}}[/tex]

P = $26,731.23.

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Both ABC and 3D8 are three digit numbers such that ABC - 3D8 = 269.
If 3D8 is divisible by 9, then what number does ABC represent?

Answers

Answer:

  647

Step-by-step explanation:

The divisibility rule for 9 can be used to find the unknown number.

Divisibility rule

A number is divisible by 9 if the sum of its digits is divisible by 9.

The number 3D8 will be divisible by 9 when 3 + D + 8 = <multiple of 9>. Since D is a single digit, we must have ...

  11 +D = 18

  D = 7 . . . . . . . subtract 11

The number 3D8 is 378.

Difference

Now we know that the difference is ...

  ABC -3D8 = ABC -378 = 269

  ABC = 269 +378 = 647

ABC represents the number 647.

a car tire with radius 12 in. does 80 revolutions in a minute. how far does the car travel ?

Answers

Answer:

Travel distance in one minute is 6028.8 inches or 502.4 feet or 167.5 yards

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

Given

Tire has radius of 12 in;Tire does 80 revolutions per minute.

To find

Travel distance in one minute

Solution

Use circumference formula to find the tire circumference:

C = 2πrC = 2*3.14*12 = 75.36 in

Find the distance by multiplying the number of revolutions by circumference:

d = 80*75.36 in = 6028.8 in

Convert the inches to feet, or yards, considering 12 in = 1 foot and 3 feet = 1 yard:

6028.8/12 = 502.4 feet502.4 /3 = 167.5 yards

find x and y

helppppp !!

Answers

3x + 6 = 48 (alternate angles are equal)

- 6

3x. = 42

÷3

x = 14 degrees

180-48 - 2y + 5y-9 =180

123 + 3y = 180

-123

3y = 57

÷3

y = 19 degrees

Explanation:

To find the last angle on the top straight line, do:

180 - (the 2 given angles).

So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.

(180 - 48 - 2y) & simplify => 132 - 2y

This gives you the equation for the missing angle on our top straight line.

Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.

Simplify

=> 123 + 3y (because - 2+5 =3)

and put it equal to 180. Solve for y

Hope this helps!

Directions: Name the coefficient (s) in the following expressions: 1. 12s + 4t 2. 46rs + 10x 3. 12q + 14x 4. 10x + 10y 5. 17rs + 32x 6. 5x + 7y - 12z 7. 36ab + 70m 8. 3r + 19a + 10m 9. 7k + 16m 10. 8r + 5s 11. 9h + 120m 12. 12k + m 13. 7g + 15h + w 14. 4c - 8d + 12f 15. 6t + 17r - 35j

Answers

The coefficient are as follows:

What is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

1. 12s + 4t

Variables: s, t

Coefficient: 12, 4

2. 46rs + 10x

Variables: r, s, x

Coefficient: 46, 10

3. 12q + 14x

Variables: q, x

Coefficient: 12, 14

4. 10x + 10y

Variables: x, y

Coefficient: 10, 10

5. 17rs + 32x

Variables: r, s, x

Coefficient: 17, 32

6. 5x + 7y - 12z

Variables: x, y, z

Coefficient: 5, 7, -12

7. 36ab + 70m

Variables: a, b, m

Coefficient: 36, 70

8. 3r + 19a + 10m

Variables: r, a, m

Coefficient: 3, 19, 10

9. 7k + 16m

Variables: k, m

Coefficient: 7, 16

10. 8r + 5s

Variables: r, s

Coefficient: 8, 5

11. 9h + 120m

Variables: h, m

Coefficient: 9, 120

12. 12k + m

Variables: k, m

Coefficient: 12, 1

13. 7g + 15h + w

Variables: g, h, w

Coefficient: 7, 15 , 1

14. 4c - 8d + 12f

Variables: c, d, f

Coefficient: 4, -8, 12

15. 6t + 17r - 35j

Variables: t, r, j

Coefficient: 6, 17, -35

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The number of registered users logged in to the new social media app varies with time. The table shows the average number of users logged in, y, on any given weekday, x hours after 6:00 a.m.

Answers

Answer:

1,483

Step-by-step explanation:

The equation that models this set of data is y=17.2x^2-226.3x+2184.5. Since x=0 represents 6:00 a.m, x=5 represents 11:00 a.m. Substitute 5 for x in the model, and solve for y.

Based on the number of registered users who log into the social media app during weekdays and weekends, the following are true:

1,483 users are logged in after 11 am. During the week, post at 8pm.During the weekends, post at 12 pm.

When should the marketing department post the update?

The given model for the users in the week is:

y = 17.2x² - 226.3x + 2,184.5

x is 5 because 11 am is 5 hours after 6 am:
= 17.2(5)² - 226.3(5) + 2,184.5

= 1,483 users

The company should post when there are the most people online and on weekdays that's 14 hours after 6 am which is:
=14 + 6

= 20:00

= 8 pm

On weekends this is 6 hours after 6 am:

= 6 + 6

= 12 pm

Missing information from question:

Model for calculating weekday users y = 17.2x² - 226.3x + 2,184.5.

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The amounts spent by 12 customers at a Burger King's restaurant were as follows:
11.01
10.50 5.70 14.67 9.50 12.54
8.90 13.56 11.23 6.80 3.00 10.55
Find the mean amount spent by these customers.

Answers

Answer:  9.83

Explanation:

The first step is to add up all the values given:

11.01 + 10.50 + 5.70 + 14.67 + 9.50 + 12.54 + 8.90 + 13.56 + 11.23 + 6.80 + 3.00 + 10.55 = 117.96

Then we divide this sum over n = 12 since this is the sample size given (i.e. the number of customers)

117.96/n = 117.96/12 = 9.83

The answer is $9.83.
I hope this helps!

someone please help omg

Answers

The equation for ΔFON is sin F = 9/18.

Hence, option B) sin F = 9/18 is the correct answer.

This question is incomplete, the complete question is;

Which equation is correct for ∆FON?

Answers:

A.) cos F= 9/18

B.) sin F 9/18

C.) sin F=18/9

D.) cos F=18/9

Which equation is correct for ΔFON?

From the diagram, we have a right angle triangle.

Hypotenuse = 18Perpendicular height or opposite to ∠F = 9Equation of angle F = ?

Note that; sinθ = Opposite / Hypotenuse

Therefore, for angle F

sin F = Opposite / Hypotenuse

sin F = 9/18

The equation for ΔFON is sin F = 9/18.

Hence, option B) sin F = 9/18 is the correct answer.

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Please Answer, Quickly ​

Answers

Answer:

Answers are below.

Step-by-step explanation:

1) 60 centimeters

2) Perimeter = 48, Area = 144

3) Circumference = 20π, Area = 100π

4) 180 feet

5) 75 meters

6) 15 yards

Hope this helps!

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Soils located farther down the triangle contain an increasingly small percentage of clay; for example, silty clay soils are primarily silt, with more clay than sand, and sandy clay soils are primarily sand, with more clay than silt. Soils located in the middle of the triangle contain roughly equal percentages of clay, sand, and silt; these soils are called loam. There are silty loam soils, which contain more silt than clay or sand; clay loam soils, which contain more clay than silt or sand, and sandy loam soils, which contain more sand than silt or clay. There are also silty clay loam soils and sandy clay loam soils.One farmer plans to grow soybean. Soybeans grow best in medium loam soil. Which of these is the most likely soil sample that the farmer would select to grow soybeans? sample containing 30 percent sand, 35 percent clay, and 35 percent silt sample containing 25 percent sand, 15 percent clay, and 60 percent silt sample containing 40 percent sand, 15 percent clay, and 45 percent silt sample containing 55 percent sand, 30 percent clay, and 15 percent silt During the Gilded Age, how did the US Congress act to regulate business practices?Congress did not pass laws that would control the growth of monopolies. Congress was concerned about workers, so they passed laws that guaranteed a minimum wage.Congress passed laws that ensured workplace safety.Congress passed laws that supported laissez-faire policies to help businesses grow. Lins Dairy uses the aging approach to estimate bad debt expense. The ending balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, $17,100; (2) up to 120 days past due, $6,300; and (3) more than 120 days past due, $3,300. Experience has shown that for each age group, the average loss rate on the amount of the receivables at year-end due to uncollectibility is (1) 2 percent, (2) 15 percent, and (3) 35 percent, respectively. At the end of the current year, the Allowance for Doubtful Accounts balance is $700 (credit) before the end-of-period adjusting entry is made. Required: What amount should be recorded as Bad Debt Expense for the current year? (Enter your answers as a whole percentage (i.e., 0.12 should be entered as 12).) Which of the following sentences does not use slang or jargon?Multiple ChoiceWhen I got home from work, I was so hangry I decided to nuke a frozen burrito in the microwave.When I got back to my crib, I decided to grab some shuteye.After I arrived home from work, I plopped down on the couch and turned on the television.After putting my nose to the grindstone all day, I decided to go home and catch forty winks. The point-slope form of the equation of the line that passes through (4, 3) and (12, 1) is y 1 = y minus 1 equals 1/4 left-parenthesis x minus 12 right-parenthesis.(x 12). What is the standard form of the equation for this line? The ratio of Jessicas stickers to Rods stickers is 7:4. Jessica has 21 stickers. How manystickers does Rod have? For each of the following, decide whether you agree or disagree and explain your answer: a) In economics, capital refers to wealth, primarily in the form of money of property. b) Since human capital includes the skills and knowledge of workers, it is a form of tangible capital. c) Social capital provides services to the public, so it is a form of intangible capital.