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3 years ago

Which is the factored form of 3y − 18?

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

3y-18
Pull out 3 (common factor):
3(y-6)

A) 3(y-6) is the correct answer

Bas_tet [7]3 years ago

6 0

In 3y-18 the common factor is 3, so we take out 3 to make 3y-18 = 3(y-6)

The answer is A. 3(y-6)

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What’s the slope of this line?

Tju [1.3M]

The slope of this line is 1

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3 years ago

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

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2 years ago

a classroom has triangular tables there is enough space at each side of a table to seat one child the tables in this class are a

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Answer:

Step-by-step explanation:

3 students can fit in one table. 5*3=15

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2 years ago

Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with $10

murzikaleks [220]

Answer:

Step-by-step explanation:

HOPE THIS HELPS

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2 years ago

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According to the synthetic division below, which of the following statements are true?

statuscvo [17]

A, D and E are correct

given ( x - 4 ) is a factor then x = 4 is a root

the remainder on division by (x - 4 ) = 0 as indicated by the 0 on the right side of the quotient

(x - 4 ) is a factor of 3x² - 13x + 4 → A

the number 4is a root of f(x) = 3x² - 13x + 4 → D ( explained above )

thus 3x² - 13x + 4 ÷ (x - 4 ) = 3x - 1 → E

the quotient line 3 - 1 0

3 and - 1 are the coefficients of the linear quotient and 0 is the remainder

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2 years ago

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