what is completely factored form or this expression?

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 :)

[tex]\sf{y^{2}-12y+32 }[/tex]

[tex]\sf{y^{2}-(8+4)y+32 }[/tex]

[tex]\sf{y^{2}-8y-4y+32 }[/tex]

[tex]\sf{ y(y-8)-4(y-8) }[/tex]

[tex]\sf{(y-8)(y-4) }[/tex]

[tex]\sf{(y-4)(y-8) }[/tex]

[tex]\\\\\\[/tex]

Therefore

[tex]\sf{option~ B~ is ~correct }[/tex]

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer 2

Answer:

(y-4) (y-8)

Step-by-step explanation:

y^2-12y+32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8+-4 = -12

(y-4) (y-8)


Related Questions

Plz help me find x and y on the triangle big thanks​

Answers

Answer:

This is a 30-60-90 right triangle.

The ratio of sides:

a : b : c = 1 : √3 : 2

Compare with the given values:

a = 3√3, b = y, c = xy = 3√3*√3 = 9x = 2*3√3 = 6√3

The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?

Answers

Given:

The inequality is:

[tex]|2x-1|>3[/tex]

To find:

The solution set for the given inequality.

Solution:

We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].

We have,

[tex]|2x-1|>3[/tex]

It can be written as:

[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]

Case I:

[tex]2x-1<-3[/tex]

[tex]2x<-3+1[/tex]

[tex]2x<-2[/tex]

[tex]x<\dfrac{-2}{2}[/tex]

[tex]x<-1[/tex]

Case II:

[tex]2x-1>3[/tex]

[tex]2x>3+1[/tex]

[tex]2x>4[/tex]

[tex]x>\dfrac{4}{2}[/tex]

[tex]x>2[/tex]

The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].

in the given circle the radius is 9 cm what is its diameter?​

Answers

Answer:

18

Step-by-step explanation:

The diameter is equal to twice the length of the radius

So if the radius is 9 then the diameter is 9 * 2 = 18

Find the average rate of change of g(x) = 2x^3 - 5 from x= -4 to x= 2

Answers

Step-by-step explanation:

the average change rate is the change of the functional values from the beginning to the end of the interval, and then that divided by the length of the interval.

like with every average or mean value calculation.

g(-4) = 2×(-4)³ - 5 = -128 - 5 = -133

g(2) = 2×2³ - 5 = 16 - 5 = 11

so, on an interval of x values of 2- -4 = 6 units the function changes its values by 11 - -133 = 144 units.

the average charge rate for this x interval is therefore

144 / 6 = 24 = 24/1

for 1 unit change of x, g(x) changes in the average by 24 units.

slope of (30, 600) (75, 1050)

Answers

Answer:

y2-y1/x2-x1

y2: 1050

y1:600

x2:75

x1:30

1050-600=450

75-30=45

450/45=10

slope is 10

Answer:

let:

A(30, 600)=(x1,y1)

B((75, 1050)=(x2,y2)

now,

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{1050 - 600}{75 - 30} [/tex]

[tex] = \frac{450}{ 45} [/tex]

[tex] = \frac{10}{1} [/tex]

Find the missing segment in the image below

Answers

Answer:

The missing segment length is 20.

Step-by-step explanation:

2 is multiplied by 4 to get to 8, so 5 must be multiplied by 4 to get to 20.

Oh Brian~
I need help again

Answers

Answer:

18c^3d^9

Step-by-step explanation:

2c^3 d^2 * 9d^7

We know that  we add the exponents when the base is the same

2*9  c^3 d^(2+7)

18c^3d^9

In which direction does the parabola x=2y2+1 open?

A up
B down
C Right
D left

Answers

Answer and Step-by-step explanation:

First, we need to set this equation equal to y, which means we need to get y by itself, and all other terms equal to y.

x = [tex]2y^2 + 1[/tex]

Subtract 1, then divide by 2 on both sides.

[tex]x - 1 = 2y^2\\\\\frac{x-1}{2} = y^2[/tex]

Now, take the square root of both sides.

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

We see that the value with the x (1) is positive, and that we have a square root function, which means the parabola would open to the right.

(If the x value was negative, the square root function's parabola would open to the left)

So, C (Right) is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

help whats the volume of this

Answers

Answer:

93.6

Step-by-step explanation:

The easiest way for me to complete this was to break it up into parts. I Separated the small triangle and the big triangle. I turned them both into squares and multiplied the dimensions. I then divided those by two and added them together.

The figure below is a net for a right rectangular prism. Its surface area is 104 ft2 and
the area of some of the faces are filled in below. Find the area of the missing faces,
and the missing dimension.

Answers

Answer:

12+12+10+10=44

104-44=60

60÷2=30

30 is the surface area of A

30÷6=5

5 is a missing dimention

If we decrease a dimension on a figure, how is the figure’s area affected?
The area decreases.
The area increases.
The area becomes 0.
The area remains the same.

Answers

Answer:

A) area decreases

Step-by-step explanation:

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

HOPE THIS HELPS

HAVE A GOOD DAY :)

ITS RASPUTIN002

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.

Answers

Answer:

2nd option,

The function is negative for all read values of x where -6<x<-2

The function f(x) = (x + 2)(x + 6) is a quadratic function, and the function is negative for all real values of x where –6 < x < –2.

What are quadratic functions?

Quadratic functions are functions that have an exponent or degree of 2

The function is given as:

f(x) = (x + 2)(x + 6)

From the graph of the function, the vertex is at (-4,-4) and the x-intercepts are at x = -6 and x = -2

Since the vertex is minimum, then the function is negative for all real values of x where –6 < x < –2.

Read more about x-intercepts at:

https://brainly.com/question/3951754

Solve.
Simplify 7 to the fifth power times 4 to the 5th power

Answers

Answer:

7^5=16,807 and 4^5=1,024

Using the formula D = s:t where D equals distance traveled, r equals the average rate of
speed, and t equals the time traveled, choose the expression or equation that correctly
represents this information.
Mary drove 150 miles in three hours. What was her average rate of speed?
=
150 = 3
r = 3 = 150
O p + 150 · 3

Answers

Answer: r = 50 miles/h

Step-by-step explanation:

Let r be the rate of average speed.

Then

r = D/t

r = 150/3

r = 50 miles/h

please click thanks and mark brainliest if you like :)

2012
Descriptive Answer Questions
Attempt FIVE questions.
11.
Show the Fisher's ideal index number satisfies both time reversal test and factor
reversal test from the following information
Commodities
2010
Price Expenditure
Price
Expenditure
5
4
32
72
х
6
50
5
28
Y
4
3
18
40
Z
8
40
50
3 XN
10

Answers

im gonna 36 I’m not sure or 27 maybe

The sum of two consecutive even integers is 54. What are the two integers?

Answers

Answer:

26 and 2

Step-by-step explanation:

Given,

Sum of two even numbers = 54

let one number be x

another number be x +2

x + x +2 = 54

2x + 2 = 54

2x = 54 - 2

2x = 52

x = 52/2

x = 26

Therefore, the numbers are 26 and 26 + 2 = 28..

What is the domain of the function in the graph?

Answers

Answer:

7≤r≤12

Step-by-step explanation:

The domain is the values that the input takes

The input goes from 7 to 12

7≤r≤12

Answer: Choice B) [tex]7 \le r \le 12[/tex]

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

Explanation:

The domain is the set of allowed x inputs of a function.

How far to the left can we go on this red line? That would be x = 7.

How far to the right? That would be x = 12.

We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).

So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.

If two numbers differ by 9 the same of their squares is 653. What are the numbers?

Answers

Answer:

Two numbers differ by 9 and the sum of their square is 653. What are the numbers?

Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.

However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.

Let the numbers be x and (9+x)

Therefore,according to given,

x^2 + (9+x)^2 =653

=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)

=>x^2 + 81 + x^2 + 18x =653

=>2x^2 + 18x + (81-653)=0

=>2x^2 + 18x - 572=0

=>2x^2 + (44x - 26x) - 572=0

=>2x^2 + 44x - 26x - 572=0

=>2x(x + 22) - 26(x + 22)=0

=>(x + 22)(2x - 26)=0

But since the number can't be negative

Therefore, x=13

Hence,the required numbers are 13 and 22.

Step-by-step explanation:

in first hope you like it

Solve the equation by factoring: 5x^2 - x = 0

Answers

Answer:

Step-by-step explanation:

x = 0, 1/5

John and mike got paid $40.00 for washing
car. John work one hour, mike worked 1.5 hrs.
How much do they get paid for time worked?

Answers

This question is incomplete , l can’t answer it . You have to say how much minutes or hours they work to get paid $40 ,if you just say that John’s work one hour and Mike work 1.5 hours then I don’t know what to solve ,this question is a complete

which of the following equations has both 1 and -3 as a solution?
A). x^2-2x-3=0
B). x^2+2x-3=0
C). x^2-4x+3=0
D). x^2+4x+3=0

Answers

i believe the answer is b

If you were to place $2,500 in a savings account that pays 3% interest
compounded continuously, how much money will you have after 5 years?
Assume you make no other deposits or withdrawals.

Answers

Answer:

$2904.59

Step by Step Explanation:

The LARGEST angle has a measure of ______degrees

Answers

Answer:

90 i think

Step-by-step explanation:

The population model given dP/dt â P or dP dt = kP (1)

fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.

Answers

Answer:

.

Step-by-step explanation:

(-72)(-15)= explain

Answers

1080 is the answer
Multiplying two negatives equals a positive.
72 multiplied by 15 is 1080.

Multiply (2x-5)(x+3)

Answers

Answer:

2x^2+x-15

Step-by-step explanation:

foil

Answer:

2x^2 + x - 15

Step-by-step explanation:

using FOIL

(2x - 5)(x + 3)

[(2x ⋅ x) + (2x ⋅ 3) + (-5 ⋅ x) + (-5 ⋅ 3)]

[2x^2 + 6x - 5x - 15]

2x^2 + x - 15

What is the area in square units of trapezoid ABCD shown Below ?

Answers

Answer: Choice B) 50 square units

Work Shown:

A = h*(b1+b2)/2

A = 5*(12+8)/2

A = 5*(20)/2

A = 100/2

A = 50 square units (choice B)

Notice how the b1 and b2 are the parallel bases, while the height h = 5 is perpendicular to both of these bases.

The area of Trapezium ABCD is 50 square unit.

what is area of Trapezium?

The formula to calculate the area of trapezium is:

Area = ½ x Sum of parallel sides x Distance between the parallel sides

Given:

base 1= 8 , base 2 = 12 unit

height= 5 unit

so, the area of Trapezium

= 1/2 ( base 1 + base 2) /2

= 1/2 (8 + 12) x5

= 1/2 x 20 x 5

= 10 x 5

= 50 square unit.

Learn more about area of Trapezium here:

https://brainly.com/question/16687907

#SPJ2

Which expression is equivalent to the given expression?

Answers

Answer:

a³b

Step-by-step explanation:

(ab²)³/b⁵

= a³b⁶/b⁵

= a³b

Does the graph represent a function and if so, why?

A.Yes, no two ordered pairs on this graph have the same second element.
B.Yes, there is more than one ordered pair on this graph.
C.Yes, no two ordered pairs on this graph have the same first element.
D.No, there is a limited number of ordered pairs on this graph.

Answers

Answer:

A. yes

Step-by-step explanation:

find the range of the function f (x) = 2x + 5 for the domain 2,5,7

Answers

Answer:

The range is {9,15,19}  

Step-by-step explanation:

f (x) = 2x + 5

Let x = 2

f (2) = 2*2 + 5 = 4+5 = 9

Let x = 5

f (5) = 2*5 + 5 = 10+5 = 15

Let x = 7

f (7) = 2*7 + 5=14+5 = 19

The domain is {2,5,7}

The range is {9,15,19}  

Answer:

i think what you wrote is that the domain is 2 to 5.7.

so you plug in these two numbers inside the equation cause domain means the distance in the x axis so this is how it goes.

2(2) + 5 = 9

2(5.7) +5= 16.4

so the range is 9 to 16.4

hope that answers your question...