Mathematics College

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

Step-by-step explanation:

To factor 9x^2-6x-8 we want to find the factors of 9 and the factors of -8 that when multiplied in sequence and then added give us -6.

factors of -8:

-8 & 1

8  & -1

-4  & 2

4  & -2

you might also want to remember that these can be flipped, so if you have -8 & 1 you can also have 1 &-8.

factors of 9:

9  &  1

-9  & -1

3  &  3

-3  &  -3

So now we just need to find numbers where

a & b are factors of 9 and c & d are factors of -8 and a*c+b*d=-6,

if that is the case then (ax+c)*(bx+d)=9x^2-6x-8

guess: 3 & 3 and -4 & 2

3*(-4) + 3*2=-12 +6 = -6

so one factoring is (3x-4)*(3x+2)

This means that one of the possible dimensions of the blanket is (3x-4) by (3x+2)

guess: -3 & -3 and 4 & -2

(-3)*4+(-3)*(-2)= -12+6 = -6

so another factoring is (-3x+4)*(-3x-2)

So you could also have a blanket with dimensions (-3x+4) by (-3x-2) but this might not make sense to do because, if you input positive numbers for x you will get negative dimensions which in the real world don't exist for a knitted blanket.

p.s sorry for the late response.

Related Questions


if a height of a door is 1 foot more than twice its width what is the width of the door if it is 7 foot high what equation would you write ​

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1. The width of the door is 3.
2. the equation is (7 - 1) divided by 2.

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Answer:

117

Step-by-step explanation:

The angles line up~ P is the same as angel I.

a factor that is common to all terms of an expression or to two or more expressions

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Answer:

el1

elnumero e s            1

What is The value of ...

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-3x^-4
=3-(-3)=6
Thank you

PLZ HELP ME ASAP PLS

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Answer:

The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made

This is answer is B.

No triangle can have 2 sides.

Which ordered pair is a solution of the inequality y< 3x+1?

Answers

(0,1),(1,4),(2,7) is the answer

Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)

Answers

Answer:

7y^4+3y-5

Step-by-step explanation:

helpppp please any answers

Answers

Step-by-step explanation:

2 + 3 × 6 + 4 × 3

Here, Parantheses should be put,

(2 + 3) × 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)

= 5 × 6 + 4 × 3 (Then multiplication)

= 30 + 12. (At last addition)

= 42

PLEASE HELP THIS IS WORTH MY WHOLE GRADE ITS DUE IN 1HR PLEASE

Answers

Don't we need the full question?

Which expression is equivalent to 4/9×2?
2x 9/2
4x2/9
2x2/9
4x9/2

Answers

4x2/9
_______________

Answer: is b

Step-by-step explanation:

Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?

Answers

Answer:

Yolanda is correct.

Step-by-step explanation:

If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.

The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.

The area of the triangle below is 8.91 square inches. What is the length of the base?

2.2 in is the height will mark BRAINLIEST!!!!!!

Answers

I think the answer is 19.602 hope this helps!

6x3=18...............................................................................................

Answers

Answer:

yeah 6×3=18 by multiplying 6 and 3

Yes 6 x3=18 by multiplying 6x3

1
1) Which expression is equal to 64 ?
a) 10
b) 24
c) 45
d) 6 x 6 x 6x6

Answers

Answer: d

Step-by-step explanation:

If you have $10 with which to buy some pens for $1.75 each, how many can you buy?

Answers

You can buy 5 pens.

10/1.75 = 5.714, but you can’t buy 7 tenths of a pen. So you have to round down to 5.
10/75=5. So you can buy 5 with ten dollars

37) The graph represents the solution to which inequality?

Answers

Answer:

your answer will be D. X - 5 < -9

Step-by-step explanation:

hope it helps have a nice day!!!

Which describes the slope of the given line?
A. Undefined
B. Negative
C. Zero
D. Positive

Answers

Answer:

A. Undefined

Step-by-step explanation:

A slope that is only a vertical line is described as "undefined." There are only y-coordinates and no x-coordinates.

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 7 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Show all work.

Answers

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

Answer:

Step-by-step explanation:

for smaller gear circumference=2π×2=4π inches

for larger gear

l=4π

θ=l/r

θ=(4 ×180)/7=720/7=102 .9°

for larger gear circumference=2π×7=14π

number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.

NEED ANSWERS ASAP PLS HELP

Answers

With what? Yooooooooo

write a equation of the line that passes through each pair of points (1,0) (5,-1)

Answers

Answer:

Slope : -1/4

Equation: y = -x + 1/4

Step-by-step explanation:

You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.

Original Number
Write as Fraction
5
6

Answers

Answer:

5/6 because it would be because the numerator would be 5 and the denominator would be 6.  

Answer:

5/6

Step-by-step explanation:

since 5 is on the top it would be the numerator

since 6 is on the bottom it would be the denominator.

can yall help..me out a lil

Answers

Answer:

53 in^2

Step-by-step explanation:

Divide the arrow into two shapes, a triangle and a rectangle. Now find the area for both of them.

Rectangle: l*w

4*8=32 in^2

Triangle: 1/2bh

1/2(6)(11-4)

3*7

21 in^2

Combine them: 21+32=53

Alguien me ayuda con estos problemas?

Answers

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Here is the histogram of a data distribution. All class widths are 1.
What is the median of this distribution?
O A. 4
O B. 3
O C. 6
D. 5

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics of a Categorised data.

We know that medium is the middle most point of any observation table or a Histogram displayed,

Hence we can clearly see here that, observation - 4 on the x-axis is the middle most entry of the Histogram, around which all other entries are equal.

===> Hence, option A.) 4 is correct answer.

Again please

A company is developing packaging for a new product as shown below.
Choose all of the expressions that can be used to find the volume of the packaging.

Packaging is made up of 2 cuboids. First cuboid has length as 2 m, height as 9 m and width as 4 m. Second cuboid has length as 2 m, height as 3 m and width as 4 m.
A. (2 × 3 × 4) + (2 × 9 × 2)
B. (2 × 4 × 3) + (2 × 9 × 4)
C. (2 × 4 × 3) + (4 × 9 × 4)
D. (3 × 4 × 4) + (2 × 9 × 2)
E. (3 × 4 × 4) + (6 × 4 × 2)

Answers

Answer; B second one
I hope this helps tou ! With ur stuff !
Answer B because it shows what it says in the sentence and the answer as well.

It costs $120 for 20 students to visit an aquarium. How much does it cost for 152 students? Set up a proportion to solve.​

Answers

Answer:

152 times 6=912

Step-by-step explanation:

$120 for every 20 students

it cost $6 for every 1 student

$6 times 152=912

Can you plz help me this is hard

Answers

Answer:

b

Step-by-step explanation:

4 to -1 is 5 units

A family has a monthly income of ​$2800 and plans to spend 12​% of this amount on entertainment. How much will be spent on​ entertainment?

Answers

The family will spend $336 on entertainment.

For each line below, determine the slope, the y-intercept, and the equation of the line. Help me please

Answers

Answer:

Red

Slope: 3

Y-int: 4

Equation: y = 3x + 4

Blue

Slope: -1/3

Y-int: -4

Equation: y = -1/3x - 4

Step-by-step explanation:

Red:
Y-intercept= 4
Slope= 3x
Equation= m=3x+4

Blue:
Y-intercept= -4
Slope= -1/3x
Equation= m=-1/3x-4

Hope this is right and will help.

Simplify fully 4a sqaured +8a +2 I-a squared +9a -3

Answers

Answer:

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3[/tex]

We can fully simplify the expression by combining the like terms. So

[tex]4a^2 + 8a + 2 - a^2 + 9a - 3 = 4a^2 - a^2 + 8a + 9a + 2 - 3 = 3a^2 + 17a - 1[/tex]

The simplified expression is: [tex]3a^2 + 17a - 1[/tex]

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