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Irina-Kira [14]
4 years ago
14

Find the product of the following

Mathematics
1 answer:
topjm [15]4 years ago
5 0
Use FOIL. (First, Outside, Inside, Last). Remember to combine like terms afterwards.

(6x - 9)(5x + 4)

(6x)(5x) = 30x²
(6x)(4) = 24x
(-9)(5x) = -45x
(-9)(4) = -36

30x² + 24x - 45x - 36

combine like terms

30x² + (24x - 45x) - 36 => 30x² - 21x - 36 (answer)

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

(3x² + 2x)(x - 6)

3x²(x) = 3x³
3x(-6) = -18x
2x(x) = 2x²
2x(-6) = -16x

Combine like terms

3x³ + 2x² - 18x - 16x

3x³ + 2x² - 34x is your answer

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

(2x² - 5x + 3)(4x³ - 1)

FOIL: Distribute each number in one parenthesis to all monomials in the other

4x³(2x²) = 8x^5
4x³(-5x) = -20x^4
4x³(3) = 12x³
-1(2x²) = -2x²
-1(-5x) = 5x
-1(3) = -3

8x^5 - 20x^4 +12x³ - 2x² + 5x -3 is your answer 

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

hope this helps
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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0
2 years ago
Two and one half times the sum of nine and twelve
ankoles [38]
2.5 x (9+12) = 52.5

Hope that helps!
8 0
4 years ago
Juliette is making a fruit salad.she purchased 9 2/3 ounces each of 6 different fruits . how many ounces of fruit did she purcha
Anettt [7]
9 2/3 total ounces is a total split up among 6 fruits.

So we need to divide 9 2/3 among the 6 fruits.

= 9 2/3 divide 6

= change 9 2 / 3 in improper fraction
= 9*3 + 2/3

= 29/3 divided by 6/1

= 29/3 x 1/6

= 29/18, change that to mixed fractions.

The answer is 1 11/18 ounces of each fruit.
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3 years ago
25 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY!
vesna_86 [32]
X=-1 hope this helped!
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