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

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

Answers

Answer:

7y^4+3y-5

Step-by-step explanation:

PLZ HELP ME ASAP PLS

Answers

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.

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]

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.

NEED ANSWERS ASAP PLS HELP

Answers

With what? Yooooooooo

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!

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

Alguien me ayuda con estos problemas?

Answers

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

Answer:

euifgesr ourugyfru fe

Step-by-step explanation:

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.

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.

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!!!

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.


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 ​

Answers

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

Can you plz help me this is hard

Answers

Answer:

b

Step-by-step explanation:

4 to -1 is 5 units

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

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

Answers

Answer:

yeah 6×3=18 by multiplying 6 and 3

Yes 6 x3=18 by multiplying 6x3

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.

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.

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.

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

Answers

Answer:

el1

elnumero e s            1

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.

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:

CAN YOU HELP ME PLEASEEEE ITS GEOMETRY!!! THANK YOUUU

Answers

Answer:

117

Step-by-step explanation:

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

What is The value of ...

Answers

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

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

Answers

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

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.

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

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:

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

Answers

Don't we need the full question?

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
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