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

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 :)

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!