The area is square feet of a rectangular garden can be expressed as the product of the garden's length and
width, or A(x) = 2x2 - 21x + 40. If the width of the garden is (x - 8) feet, what is the length of the garden?

Answers

Answer 1

Answer:

(2x-5)feet

Step-by-step explanation:

The area of the rectangular garden A = Length × Width

Given the area A(x) = 2x² - 21x + 40

And the width =x-8 feet

To get the length, we will simply factorise the area function as shown;

You will just factorise the area

Factorizing 2x² - 21x+40

2x² − 21x + 40

2x² -16x - 5x + 40

2x(x - 8) -5(x - 8)

=(2x−5)(x−8)

Hence the length of the garden is

(2x-5)feet


Related Questions

A toy company spends $1900 for factory expenses plus $11 per toy truck (t) to make each toy truck. The trucks (t) sell for $30 each. What is the equation in terms of (t).

Answers

Answer:

P(t) = 19t - 1900

Step-by-step explanation:

The factory expenses = $1900

Per toy expense = $11

The selling price of toy = $30

Now we have to convert it in the equation form. Use the below formula to convert these values in equation form.

Profit = Total revenue – total cost

Profit = TR – (variable cost + fixed cost)

Profit on truck = 30t – (11t + 1900)

Profit = 30t – 11t – 1900

P(t) = 19t - 1900

Solve
for x.
9x-7=-7 I need the steps please

Answers

Answer:

x=0

Step-by-step explanation:

9x-7=-7

Add 7 to each side

9x -7+7 = -7+7

9x = 0

Divide each side by 9

9x/9 = 0/9

x = 0

Answer: x = 0

Step-by-step explanation:

9x -7 = -7       First add 7 to both sides

    +7    +7  

9x =  0     Now divide both sides by 9

x = 0

Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar. hellllp

Answers

Answer:

$22 aud x 1usd/1.2 Aud

Answer:

13.32 US Dollars

Step-by-step explanation:

22 divided by 1.2 is 18.33333333

round that to 18.3 then work out the us dollars to the australian dollars and you get 13.32

Two lines in the same plane that will not intersect are parallel. always sometimes never

Answers

Answer:

Always

Step-by-step explanation:

If two lines are coplanar and will not intersect, they are parallel.

Always if two lines are for corplanar and don’t intersect they’re parallel

Slope intercept, show work I don't how to get it

Answers

Answer:

1) start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.

Step-by-step explanation:

those are steps and explanation but the theres an example i put in there to

Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26

Answers

Answer:

Answer should be I 16-(-10) I = 26

But I guess it's the last choice you listed, I -10-16 I = 26

A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research study. The average (i.e., mean) score for the group of 20 is an example of a(n)___________.
a) sample
b) statistic
c) population
d) parameter

Answers

Answer: b) statistic

Step-by-step explanation:

Population = A large groups of individuals sharing the same or similar characteristic by the point og study.Sample  = It is a subset of population .Parameter = It is measure of characteristic in population.Statistic =  It is measure of characteristic in sample.

Since the average score was taken by the group of 20 which is nothing but the sample.

That means, the average score is an example of statistic.

Hence, the correct option is b) statistic .

WILL MARK BRAINLIEST
Given a||b and c is not parallel to a or b which statement must be true?
(Picture)

Answers

Answer:

m4=m8

Step-by-step explanation:

Answer:

I took the test g

Step-by-step explanation:

m 2=7 and m 4=8

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?

a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2​

Answers

Answer:

i honestly dont know

Step-by-step explanation:

c is the answer to this question

Help please!!

Which edges are perpendicular to PR

Select each correct answer
TR
QT
RA
TJ
HP

Answers

I think it’s QT EJ and HA

Answer:

QT. . . . . . . . . . . . . . . I think

PLZ HELP!!!

which of the following functions is graphed below

(look at picture above)

Answers

Answer:

The answer is A.



Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c

Answers

Answer:

[tex] - 0.8b + 4.1c + 3.2b - 0.1c = 4c + 2.4b[/tex]

Help please Is this correct?, I don't know if I did this right.

Answers

Answer: Infinitely many solutions

Any real number works for x

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

Work Shown:

[tex]6 - 2x - 1 = 4x+5 - 6x\\\\-2x+6 - 1 = 4x - 6x+5\\\\-2x+5 = -2x+5[/tex]

We get the same identical expression on both sides. So plugging any number in for x leads to getting the same number on both sides.

-----------

For instance, if x = 0,

[tex]-2x+5 = -2x+5\\\\-2(0)+5 = -2(0)+5\\\\5 = 5\\\\[/tex]

which is a true statement. The same happens when we plug x = 0 into the original equation

[tex]6 - 2x - 1 = 4x+5 - 6x\\\\6 - 2(0) - 1 = 4(0)+5 - 6(0)\\\\6 - 0 - 1 = 0+5 - 0\\\\5 = 5\\\\[/tex]

What is the formula of area​

Answers

Answer:

Square: Area = S²

Rectangle: Area = lw (L x W)

Triangle: Area = bh/2

Circle: Area = 3.14(r)²

Why do you need to apply a force in order to get the box to move

Answers

Answer:

The reason one must apply a force to a box in order for the box to move is to overcome the friction generated by the box against the plane the box is sitting.

The box at rest has zero friction against the surface on which it sits.  Once a force is applied, a box's movement is resisted by the friction created from contact with the surface.

In order for the box to move, one must generate more force than is being generated by the friction of the surface onto the box, allowing the box to move.

Cheers.

if f(x) = -3x+4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Answers

Answer:

x=1

Step-by-step explanation:

you have -3x+4  and your left with  one whole number when you put -3 and 4 together

Combine the like terms to create an equivalent expression:
3
z
+
2
+
(

5
z
)
+
6

Answers

Answer:

-2z+8

Step-by-step explanation:

[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]

help me w/ this asap​

Answers

Answer:

(12,infinity)

Step-by-step explanation:

I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.

23,900
Write each number in scientific notation.​

Answers

Answer:

2.39 x 10 to the power of 4

What’s the answer ???

Answers

Answer:

2 Liters

Step-by-step explanation:

.25 liters=1/8 fish aquarium

.25x8=2

The function f(x) = |x| is graphed over the interval [−6, 3].
Which translation of the graph has the domain [−3, 6]?

Answers

Answer: g(x)=lx-3l

Step-by-step explanation:

g(x) = |x − 3| is the translation of the graph has the domain [−3, 6]. Therefore, option D is the correct answer.

Given that, the function f(x) = |x| is graphed over the interval [−6, 3].

We need to find which translation of the graph has the domain [−3, 6].

What is a domain?

The domain of a function is the set of all possible inputs for the function.

g(x) = |x − 3| graph has the domain [−3, 6].

Therefore, option D is the correct answer.

To learn more about the domain visit:

https://brainly.com/question/28135761.

#SPJ5

In 2003 the population of an African country was about 15 million people which is 1 million more than four times the population in 1950 enter in so many equation to find the approximate population P ( in millions) in 1950

Answers

Answer:

3,500,000

Step-by-step explanation:

1. 15,000,000 - 1,000,000 = 14,000,000

2. 14,000,000 divided by 4 = 3,500,000

Hopefully this helps you:)

Is is greater than less or equal to 4.09_4.90

Answers

Its less than i think yeah

At Emily’s closet 1/3 of the cloths are white and 1/5 are black what. What fraction of Emilly’s clothes are black and white ?

Answers

8/15

Since 1/5 and 1/3 have different denominators, they cannot be added directly.Multiply the denominators (5×3=15)Multiply each with the other denominator 3×(1/5)=3/15, 5×(1/3)=5/15Now, 3/15 +5/15=8/15

Answer:

5/8

Step-by-step explanation:

number 8 please! i kinda need help ASAP please! it’s due tomorrow

Answers

Answer: Answer is in the steps

Step-by-step explanation:

The perfect square that is less than 15 is  9 and greater 15  is 16  and the square root of 15  falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.

 

   First row:      9 < 15 < 16

 Second row   [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]  

Third row ;        3 < [tex]\sqrt{15}[/tex]  < 4

Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?

Answers

Answer: 63.13%

Step-by-step explanation:

given data:

copper = 21.8%

0.13%x + 29%(140-x) = 21.8%(140)

open the brackets

0.13x + 40.6 - 0.29x = 30.5

collect like terms

0.13x - 0.29x = 30.5 - 40.6

–0.16x = –10.1

divide both sides by – 0.16

–0.16x / – 0.16 = –10.1 / –0.16

x = 63.13%

HELP!!!!!!! The square in the middle has an area of 1 square unit. What is the area of the entire rectangle in square units? Explain your reasoning.

Answers

Answer:

  4 square units

Step-by-step explanation:

If you draw a vertical line down the middle of the square, you divide it into two triangles that are congruent to the smaller triangles shown in the figure. Hence each of those triangles has an area of 1/2 square unit.

After you have divided the square as above, you see that two smaller triangles are identical in area to the larger triangles. So, each of those has an area of 2(1/2) = 1 square unit.

Then the total of areas is ...

  2 small triangles + square + 2 large triangles = 2(1/2) + 1 + 2(1) = 4

The area of the rectangle is 4 square units.

Order the set of numbers from least to greatest:

Answers

- 31/6 , -26 square rooted, -5, - 5/6

3. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• D is greater than E.
• B is greater than C.
• A is less than E.
• is greater than D.
• is less than E.
• A is less than F.
Points in order:

Answers

BCDEFA is the correct answer

​Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel ​76 miles?

Answers

Answer:

miles/gallons: 80/5 = 48/g

Cross multiply

80g = 240

g = 3 gallons

Step-by-step explanation:

4 gallons will​ Hank's pickup need to travel ​76 miles.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

​Hank's pickup can travel 95 miles on 5 gallons of gas.

95 miles ⇒  5 gallons of gas

76 miles ⇒ X

95X = 76 × 5

X = [tex]\frac{76(5)}{95}[/tex]

X = 4

4 gallons will​ Hank's pickup need to travel ​76 miles.

Find out more information about unitary method here

https://brainly.com/question/22056199

#SPJ2

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