the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring​

Answers

Answer 1

Answer:

3x+2 and 3x-4

Step-by-step explanation:

We are given the quadratic equation 9x²-6x-8.

first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)

the result is -72

now think:

which two numbers add up to -6, but when multiplied, equal -72?

Those two numbers are -12 and 6

we can expand the polynomial:

9x²-12x+6x-8

factor by grouping:

3x(3x-4)+2(3x-4)

(3x-4)(3x+2)

so, the dimensions of the blanket are (3x-4) and (3x+2)

Hope this helps :)


Related Questions

a dealer made a profit of 25% by selling a car for a 1000 naira find the cost price of the car​

Answers

Given:

A dealer made a profit of 25% by selling a car for a 1000 naira.

To find:

The cost price of the car​.

Solution:

Let x be the cost price of the car.

A dealer made a profit of 25% by selling a car. So, the selling price of the car is

[tex]S.P.=x+\dfrac{25}{100}x[/tex]

[tex]S.P.=x+0.25x[/tex]

[tex]S.P.=1.25x[/tex]

It is given that the selling price of the car is 1000. So,

[tex]1.25x=1000[/tex]

[tex]x=\dfrac{1000}{1.25}[/tex]

[tex]x=800[/tex]

Therefore, the cost price of the car​ is 800.

work out 2 1/7 + 1 1/4​

Answers

Answer:

95/28

Step-by-step explanation:

3 3/10 because u find common denominator which would be 28 and then u add them together and it comes out to 95/28 which simplifies to 3 3/10.

What are the directional changes and numerical changes of the vertex of the graph of the equation y=x^2 when it changes the equation y=(x-3)^2 +5

Answers

Answer:

Step-by-step explanation:

subtracting 3 from x shifts the graph right 3 units.

adding the constant 5 shifts the graph up by 5 units.

A number is at least four (translating inequalities)

Answers

Answer:

[tex]n \ge 4[/tex]

Step-by-step explanation:

Given

A number is at least 4

Required

Write as inequality

Let the number be n

So, we have:

n is at least 4

In inequalities, at least means [tex]\ge[/tex]

So, the expression becomes

[tex]n \ge 4[/tex]

Write 0.41 in fraction simplest form

Answers

The simplest form for 0.41 is 41/100. 41 and 100 do not have common factors so they cannot be simplified.
41/100
42 can’t go into 100 an even amount of times

please hurry! I need all of these answers really soon it's due​

Answers

use photomath or something
What is this on? I don’t get what I’m supposed to solve. Sorry, I’m in high school yet I’ve never seen something like this...unless I forgot.

(07.05 MC)

Which of these is a simplified form of the equation 9y + 5 = 7 + 3y + 2y? (1 point)

9y = 7
14y = 12
5y = 12
4y = 2

Answers

Answer:

4y = 2

Step-by-step explanation:

9y + 5 = 7 + 3y + 2y

9y-2y-3y=7-5

4y=2

Answer:

4y=2 is your answer

Step-by-step explanation:

9y + 5 = 7 + 3y + 2y

9y+5=7+5y

maintaining common form in each side

9y-5y=7-5

4y=2

Which statement best describes the expression fraction 1 over 2 x (14 − 6) x 6 + 4?

Find half the product of 6 and 4, then subtract the difference between 14 and 6.
Find half the difference of 14 and 6, multiply by 6, then add 4.
Find the product of 14 and 6, add the product of 6 and 4, then divide by 2.
Find the product of 6 and 4, subtract the difference between 14 and 6, then multiply by fraction 1 over 2.

i really need help i don't get it

Answers

Answer:

The correct answer is: Find half the difference of 14 and 6, multiply by 6, then add 4.

Step-by-step explanation:

By Hierarchy Rules of Operators, we must follow these steps:

(i) Subtract 6 from 14.

[tex]\frac{1}{2}\times 8\times 6 + 4[/tex]

(ii) Multiply the result in (i) by [tex]\frac{1}{2}[/tex] and 6.

[tex]24+4[/tex]

(ii) Add 4 to the result in (ii).

[tex]28[/tex]

Hence, the correct answer is: Find half the difference of 14 and 6, multiply by 6, then add 4.

Scale Factor
What scale factor was applied to the first rectangle to get the
resulting image?

Enter your answer as a decimal in the box.

Answers

Answer:

Scale factor = 2.5

Step-by-step explanation:

The scale factor that was applied = length of the resulting image ÷ length of the first rectangle

Length of resulting image = 7.5

Length for first rectangle = 3

Scale factor = 7.5/3 = 2.5

please help meeeeeee

Answers

It’s around 45 degrees I think

I hope I helped : )

Which of the following best describes term response variable

Answers

The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.

The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).

Learn more:

brainly.com/question/5598457

Tina cut open a cube-shaped microwave box to see the net. How many
square faces does this box have?

HELP ME PLS ASAP PLS PLS

Answers

Answer:

6 faces.

Step-by-step explanation:

A cube has 6 square faces. 2 for the up and down, 2 for the front and backk and 2 on the left and right.

It has 6 faces. This is because it has one on top, one on bottom, and 4 on the sides.

Simplify the expression:
6(2u+ 1)
=

Answers

Answer:

12u + 6

Step-by-step explanation:

Find the missing measure in the triangle below

Answers

Answer:

34 degrees

Step-by-step explanation:

A triangle equals 180 degrees

180 - 90 = 90

90 - 56 = 34

Therefore it's 34 degrees

1/3 x 4/5 = help me out here

Answers

Answer:

kay it's 4/15

Step-by-step explanation:

this friggen took me forever

I made it to a common denominator 15

5/15*12/15

then I kept simplifying it till I got to 4/15

k bye

Simple
1•4=3•5
4/15
I dont know how to explain here

ambiente apent 5/8 of har money and sabedoria The rest.if she sprnt 45$,how much money did she have at first?​

Answers

Further explanation
Given:
Abbie spent ⁵/₈ of her money and saved the rest.
She spent $45.
Question:
How much money did she have at first?
The Process:
The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.
Let us make a pattern of 8 units for the amount of money that Abbie had at first.

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that

From the pattern above, we can see that
Let us calculate how much money Abbie had at first.



Thus, the money Abbie had at first is $72.
The complete pattern of Abbie's initial money is as follows:

- - - - - - - - - -
Quick Steps:
Let M as Abbie's initial money.

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

We crossed out 5 and 45.


Thus, the money Abbie had at first is $72.

What is the slope of the line that is perpendicular to
the equation y = -1/3x - 10?

Answers

Answer:

3/1=3

slope is 3

Step-by-step explanation:

Perpendicular lines have slopes that are the opposite of the reciprocal of each other.

HEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLPPPPPPP ASAP

Answers

Answer:

Choice B

Step-by-step explanation:

Divide 3 by 36.75

The result is 12.25

10
pis
Choose all that apply.
What is true about alternate exterior angles?
They sum to 180 degrees.
The are congruent.
They sum to 90 degrees.
They are non-adjacent.
They are adjacent.

Answers

9514 1404 393

Answer:

The are congruent.They are non-adjacent.

Step-by-step explanation:

Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are alternate exterior angles.

Alternate exterior angles are congruent.

The share a side (the transversal, but not a vertex. So they are non-adjacent.

_____

Additional comment

In this geometry, corresponding angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.

Solve the equation x = 5/3 (pie) (r^3) for r.

Answers

Answer and Step-by-step explanation:

To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.

[tex]x = \frac{5}{3} \pi r^{3}[/tex]

Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)

[tex]\frac{3x}{5\pi } = r^{3}[/tex]

Now, take the cubed root of both sides.

[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]

^^ That is the answer.

#teamtrees #PAW (Plant And Water)

Simplify: - 4x 5x - 1 + 3-6x 3-6x​

Answers

Answer:

−45−1+3−63−6

−46−1+3−63−6

−46+2−63−6

Solution:

−46−63−6+2

Step-by-step explanation:

I hope that this is what you are looking for

Have a nice day/night

I learned that (1) _____ is a number written at the upper right of a certain number called (2) ______ . it indicates how many times the base is taken as a factor. I also learned the different laws of the exponent. I have known now that the product of x² * x⁴ is equal to x⁶​

Answers

Answer:

(1) exponent, (2) base

Step-by-step explanation:

An exponent is a quantity that represents the power to which a given number is to be raised.

A base can be any whole number greater than 0.

A line passes through the points (5,22) and (7,24). Write a linear function rule in terms of x and y
for this line.

Answers

It 20 because it is and you multiply

What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer IN simplest form.

Answers

Answer:

gradient=change in y/change in x

=y2-y1/x2-x1

=-8-(-16)/-10-(-8)

=8/-2

=-4

HELPPPP!!;!;!,!,!,!!,!,!;?,!,

Answers

Answer: is the first equation. A

Raul has a circular koi pond in a 30-foot square patio. Find the area of the patio that is not part of the pond to the nearest hundredth. Show your work.

Answers

Answer:

193.14 ft^2

Step-by-step explanation:

what is the area of this square (look at the picture)

Answers

Answer:

484

Step-by-step explanation:

22 times 22

Evaluate when
a =3 b= 4.5 and h = 6

Answers

Answer:

For Example:  Evaluate a2b for a = –2, b = 3, c = –4, and d = 4.

Step-by-step explanation:

To find my answer, I just plug in the given values, being careful to use parentheses, particularly around the "minus" signs. Especially when I'm just starting out, drawing the parentheses first may be helpful:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

12

Note how using parentheses helped me keep track of the "minus" sign on the value of a. This was important, because I might otherwise have squared only the 2, ending up with –4, which would have been wrong.

By the way, it turned out that we didn't need the values for the variables c and d. When you're given a big set of expressions to evaluate, you should expect that there will often be one or another of the variables that won't be included in any particular exercise in the set.

Evaluate a – cd for a = –2, b = 3, c = –4, and d = 4.

In this exercise, they've given me extra information. There is no b in the expression they want me to evaluate, so I can ignore this value in my working:

(–2) – (–4)(4)

–2 – (–16)

–2 + 16

16 – 2

14

A 5000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $145,600?

Answers

Answer:

2,206

Step-by-step explanation:

correct 89.6162 to two decimal places​

Answers

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6  so we add one to the second place.

i tryed my best

The decimal number rounded to 2 decimal places is 89.62

Given data:

The decimal number is represented as 89.6162

To round 89.6162 to two decimal places, we look at the third decimal place.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Since the digit in the third decimal place is 6, which is greater than or equal to 5, we round up the second decimal place.

Hence, rounding 89.6162 to two decimal places, the number is 89.62

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ2

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