Multiplying Polynomials Multiple Choice Need to know what goes in blanks and final answer

Mathematics

1 answer:

maksim [4K]2 years ago

8 0

Answer:

6x² - 19x + 10

Step-by-step explanation:

Given

(3x - 2)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 5) - 2(2x - 5) ← distribute both parenthesis

= 6x² - 15x - 4x + 10 ← collect like terms

= 6x² - 19x + 10

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What is the value of the numerical expression 5/8 - 5/12 (3 -1/4) + 2/3 ?

nasty-shy [4]

$\dfrac{5}{8} - \dfrac{5}{12} ( 3 - \dfrac{1}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{5}{12} (2\dfrac{3}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{5}{12} (\dfrac{11}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{55}{48}+ \dfrac{2}{3}$

$= \dfrac{30}{48} - \dfrac{55}{48}+ \dfrac{32}{48}$

$= \dfrac{7}{48}$

6 0

3 years ago

Pleaseee help <br><br> 6(3 - 7x) = -192

scZoUnD [109]

Answer:

x = 5

Step-by-step explanation:

6(3 - 7x) = -192

Divide each side by 6

6/6(3 - 7x) = -192/6

3 - 7x = -32

Subtract 3 from each side

3-7x-3 = -32-3

-7x = -35

Divide each side by -7

-7x/-7 = -35/-7

x = 5

3 0

3 years ago

Read 2 more answers

90% of a number is x . What is 100% of the number? Assume x>0

mariarad [96]

Step-by-step explanation:

Let the required number be n

$\therefore \: \frac{90}{100} \times n = x \\ \\ \therefore \: \frac{9}{10} \\ \\ \therefore \:n = \frac{10}{9} x \\ \\ \therefore 100\% \: of\:n = \frac{10}{9} x \times 100\% \\ \\ = \frac{10}{9} x \times \frac{100}{100} \\ \\ = \frac{10}{9} x \\$