Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies) instead of shelves. He wants the height of the bookshelf to be x2−4x−45 and the width to be x2+7x+10. Each cubby hole in the bookshelf will have a height of x+2 and width of x−9
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Step-by-step explanation:

Factor your equations using the fact that x²-Sx+P represents the general equation where S is the sum of roots and P the product of roots.

What roots will have the sum  S=4 and product P= -45 ,

will have 5 and -9, S=5-9=-4✅ and P=5*(-9)=-45✅

x²-4x-45 = (x-root1) (x-root2) = (x+5)(x-9)

S=-7 and P=10 , so the roots are -5 and -2

x²+7x+10= (x+5)(x+2)

I am not sure what is your question yet you frobably need to factor the 2 given equation so you will have a bookshelf of (x+5)(x-9) by (x+5)(x+2)

could

step-by-step explanation:

u send me a picture of ur work

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step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.