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4 years ago

9.2 Multiplying and Factoring Polynomials 8m ( m+6 )

Mathematics

1 answer:

poizon [28]4 years ago

7 0

You would multiply 8m by m and 6 separately. it would be 8m^2 + 48m

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The graph represents function 1, and the equation represents function 2:

inessss [21]

Answer:

Option D.

Step-by-step explanation:

The slope of a horizontal line is 0.

It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.

It means the rate of change of function 1 is 0.

The slope intercept form of a linear function is 1

where, m is slope and b is y-intercept.

The function 2 is 2

On comparing (1) and (2), we get

The rate of change of function 2 is 8.

The difference between rate of change is

The rate of change of function 2 is 8 more than the rate of change of function 1.

Therefore, the correct option is D.

3 0

3 years ago

Read 2 more answers

BRAINLIEST for the correct answer!

Vladimir [108]

Answer:

answer is A

Step-by-step explanation:

(3 $x^{2}$ +5x+1) ( $x^{2}$ −2x+4)

=(3 $x^{2}$ +5x+1)( $x^{2}$ +−2x+4)

=(3 $x^{2}$ )( $x^{2}$ )+(3 $x^{2}$ )(−2x)+(3 $x^{2}$ )(4)+(5x)( $x^{2}$ )+(5x)(−2x)+(5x)(4)+(1)( $x^{2}$ )+(1)(−2x)+(1)(4)

=3 $x^{4}$ −6 $x^{3}$ +12 $x^{2}$ +5 $x^{3}$ −10 $x^{2}$ +20x+ $x^{2}$ −2x+4

=3 $x^{4}$ − $x^{3}$ + 3 $x^{2}$ + 18x +4

4 0

3 years ago

On Tuesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold w

Papessa [141]

The amount of hamburgers sold on Tuesday is 136.

8 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

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5 0

1 year ago

What is the constant of variation for the following: 5y=10x?

ss7ja [257]

Y and x are the two varibles so 5 and 10 are your contants

6 0

3 years ago