An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answer:

2/3x+8=y

Step-by-step explanation:

8x-12y=-96

8x+96=12y

8/12x+8=y

2/3x+8=y

The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.

Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.

Given:

The equation, E = 8x – 12y = -96,

The standard intercept form of a line,

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

Here m is the slope,

For this form, arrange the equation,

– 12y = -8x - 96

(Do multiplication of  -1/ 4 on both sides)

3y = 2x + 24

Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Answer:

70/100= 0.7= 70%

70%

Answer:

x=3

Step-by-step explanation:

x+10=13

x=13-10

x=3

Answer:

98/7=14

14*2=28

y=28

Step-by-step explanation:

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Answer:

A. 7.5%

B. 68.26%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]

[tex]Z = -1.44[/tex]

[tex]Z = -1.44[/tex] has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55 - 52.5}{2.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 49

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 52.5}{2.5}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

Read more about z-scores at; https://brainly.com/question/6316394

Answer: 5

Step-by-step explanation:

Answer:

4,500 cubic units

Step-by-step explanation:

Answer:

4,500 cubic units

Have a good day.

Answer:

The answer is C

Step-by-step explanation:

If you plot them carefully.

Answer:

53

Step-by-step explanation:

[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]

Answer

53

Step-by-step explanation:

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

Answer:

100 decreases

Step-by-step explanation:

Answer:

The point P should be located at 0,51 Km from point B, to minimize costs

Step-by-step explanation:

The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:

Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L

where L is the hypothenuse of the right triangle  ( A , B , P )

Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²

C (x) = 400000* ( 6 - x ) + 800000* √4 + x²

C(x) = 2400000 - 400000*x  + 800000* √4 + x²

Tacking derivatives on both sides of the equation

C´(x) = - 400000 + 800000* ( 2x)/√4 + x²

C´(x) = 0         - 400000 + 1600000*x / √4 + x²  = 0

- 400000* (√4 + x² )  + 1600000*x  = 0

- (√4 + x² ) + 4* x = 0

- (√4 + x² )  = - 4*x

Squaring both sides

4 + x²  = 16*x²

15*x² = 4

x² = 4/ 15

x = ± √0,27

x = ± 0,51

We should dismiss the negative solution

x = 0,51 Km

The point P should be located at 0,51 Km from point B

Answer:=

2π/3

Step-by-step explanation:

plato

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

∴ y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Answer:

98 in²

Step-by-step explanation:

14x7=98

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices

Answer:

no solution

Step-by-step explanation:

Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

Answer:

-36 ÷ -3

Step-by-step explanation:

Change in her school lunch account balance per lunch = -3

Total change in her school lunch balance last month = -36

Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch

= -36 ÷ -3

= -36/-3

= 12 times

Elena bought lunch 12 times last month

Answer:

[tex]-1\frac{1}{2}[/tex]

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

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

To understand what the variables are, you can take this :

[tex](x^1,y^1)[/tex]

[tex](x^2,y^2)[/tex]

Substitute the points :

[tex](-1,4)[/tex]

[tex](5,-5)[/tex]

Now substitute it into the formula :

[tex]\frac{-5-4}{5-(-1)}[/tex]

[tex]\frac{-3}{2}[/tex]

[tex]-1\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

m = (y2 - y1) / (x2 - x1)

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

i like ur toga pfp besty :)

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

Answer:

sure Gigi,    as below

Step-by-step explanation:

A)

we want to know the rates.  so this like like in MPH (Miles per hour)  or feet per second but something that we can compare each walker with the other .... so we want some type of scale that makes sense.  what are the given units.... they are distance in miles and time in hours.. so maybe MPH would work for this.

there is a very good, basic formula that you should just remember for this type of problem... I can it the dirt formula... partly b/c it's dirt easy.. and partly b/c it really is about how much dirt you cover.. i mean.. how far you do... in a distance .. and you can use any unit you want...  like we'll use miles here.. for our units..  we will you d = rt  where d= distance , r= rate and t = time.

d = rt.... notice the formula looks a lot like the word  "dirt"   handy huh...

use it to make all the walks have a number...  their rate... the r in the formula... to compare with,  so use your algebra skills to rearrange the formula... to

d/t = r      now we can plug in each of the walkers and get a rate to comparr them  

Aisha  5/2 = r  so 5/2 MPH

Bob  7.5 / 5 = r  so 7.5 = 15/2   then (15/2)  /  5   = (15/2) * (1/5)  ( cross cancel the 15 and 5  so you get  (3/2) * (1/1) =  3/2

Bob = 3/2 MPH

Cora = 9 / 3.6    or   9 / 3[tex]\frac{6}{10}[/tex]   or  (9/1) / ([tex]\frac{36}{10}[/tex])  or  (9/1) * (10 / 36) cross cancle the 9 and 36 so you get     (1/1) * ( 10 / 4)   = 10/4 = 5 /2

Cora = 5/2 MPH

Dylan = 3.75 /2.5  or  3 [tex]\frac{3}{4}[/tex] / 2[tex]\frac{1}{2}[/tex]  or  (15/4) / (5/2)  or (15/4 ) * (2/5)  cross cancel the 2 and 4 and also cross cancel the 15 and 5    then,   (3/2) * ( 1/1)= 3/2

Dylan = 3/2 MPH

            MPH

Aisha = 5/2

Bob   =  3/2

Cora  =  5/2

Dylan = 3/2

you can now make fair comparisons among the 4 people

B)

d = rt

d/t = r

Emilio  =  19.2 / 6   or 19[tex]\frac{2}{10}[/tex] / 6  or  (192/10 ) / (6/1)  invert and multiply to bring the denominator up   (192/10) *  (1/6)  cross cancle 6 into 192 = 32

so(32/10) * ( 1/1) = 32/10  or  16/5 =  3[tex]\frac{1}{5}[/tex] or 3[tex]\frac{2}{10}[/tex] which is  3.2 MPH

Fala  = 10.5 / 3   or  10[tex]\frac{1}{2}[/tex] /3   or  [tex]\frac{21}{2}[/tex] / 3   or   (21/2) / (3/1)  invert and multiply the denominator    (21/2) * ( 1/3)  , cross cancel 3 and 21    (7/2) * ( 1/1)  = 7/2

so now you have all the rates.. how fast they are walking.  in Miles per hour and that's what the scale of the number line is.. so, good.. just mark each of their speeds

Bob and Dylan = 3/2 or  1.5 MPH... pretty slow.. huh :P

Cora and Aisha = 5/2 or 2.5 MPH  faster but not fast

Emilo 3.2 MPH  pretty quick

Fala 3.5 MPH  she's fast. :D  speed walking

3.2 on the number line is not marked.. 3.25 is.. so just a bit below the 3.25 mark.. that's 3[tex]\frac{1}{4}[/tex] , see it?

all the others are marks on the number line.. just count marks for 1//2s

2+6 is 8

(It says I need 20 characters to make an answer so Im just writing this down)

Answer:

he can buy McDonalds

he can go to grocery store and buy something to cook or maybe bakery iteams

Answer:

hmm

Step-by-step explanation:

he can go buy some rice and boil it as dinner for a lot of food

Answer:

A=3

B=-9

C=4

Hope this helps ^^