HELP ASAP!!!.

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

3 0

Answer:

$54

Step-by-step explanation:

Since its $0.24 per 1 square inch, you would multiply 0.24 by the total amount of square inches. When we do this, we get 54 as our answer.\

Hope this helps!

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Hi can you help me with this?

katrin [286]

Answer:

-3.9/1

Step-by-step explanation:

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3 years ago

Read 2 more answers

With the remaining 3/4 gallon of honey, Lila decided to bake some loaves of bread and several batches of cookies for her school

Aleksandr-060686 [28]

Find the least common denominator for all fractions: 12

3/4 = (3*3)/(4*3) = 9/12
1/6 = (1*2)/(6*2)
1/4 = (1*3)/(4*3)

Take the converted fractions to have the honey used taken away from the original total.

4 0

3 years ago

For which value of b can the expression x2 + bx + 18 be factored?

Dmitry_Shevchenko [17]

Answers:

b = -19
b = -11
b = -9
b = 19
b = 11
b = 9

====================================================

Explanation:

Here are all the ways to multiply to 18 when using integers only:

-1*(-18) = 18
-2*(-9) = 18
-3*(-6) = 18
1*18 = 18
2*9 = 18
3*6 = 18

Sum each pair of factors to find out a possible value of b.

-1 + (-18) = -19
-2 + (-9) = -11
-3 + (-6) = -9
1 + 18 = 19
2 + 9 = 11
3 + 6 = 9

Therefore, the possible values of b are

b = -19
b = -11
b = -9
b = 19
b = 11
b = 9

which are the final answers.

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An example:

Let's say b = 11. This would mean $x^2+bx+18$ becomes $x^2+11x+18$

It would factor to $(x+2)(x+9)$ since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that $x^2+11x+18 = (x+2)(x+9)$ is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get $(x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq$

The middle term $(p+q)x$ has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).