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3 years ago

Distribute to simplify

Mathematics

1 answer:

german3 years ago

7 0

<span>Distribute to simplify

</span> $4n (p+6) = 4np+24n\qquad \to \boxed{4np+24n}$ <span>
</span>

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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6

Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Remember that in a quotient, the denominator cannot be equal to zero

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

$9x^{2}+9x-18=9(x+2)(x-1)$

Simplify the denominator

$3x+6=3(x+2)$

substitute in the original expression

$f(x)=\frac{9(x+2)(x-1)}{3(x+2)}$

Simplify

$f(x)=3(x-1)$

$f(x)=3x-3$

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of x cannot be equal to -2

The graph in the attached figure

7 0

3 years ago

A packing box is being filled with packing peanuts. The box measures 1 1/2 feet by 1 1/2 feet by 2 feet. How many cubic feet of

Stolb23 [73]

Answer: $4.5\ ft^3$

Step-by-step explanation:

Given

Measurement of box $1\frac{1}{2}\times 1\frac{1}{2}\times 2$

suppose Length $L=1\frac{1}{2}=\frac{3}{2}\ ft$

Breadth $B=1\frac{1}{2}=\frac{3}{2}\ ft$

height $H=2\ ft$

Volume of Cuboid $=L\times B\times H$

Volume of Packaging box $V=\frac{3}{2}\times \frac{3}{2}\times 2$

$V=\frac{9}{2}\ ft^3$

4 0

3 years ago

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

aliina [53]

Answer:

Step-by-step explanation:

2a+ 2/a =4

Multiply each side by a to clear the fraction

a( 2a+ 2/a) =4*a

Distribute

2a^2 +2 = 4a

Subtract 4a from each side

2a^2 -4a +2 = 4a-4a

2a^2 -4a +2 =0

Divide by 2

2/2 a^2 -4a/2 +2/2 =0/2

a^2 -2a +1=0

Factor

(a-1) (a-1) =0

Using the zero product property

a=1

2a^2 -2/a^2

2(1)^2 -2/1^2

2-2

5 0

3 years ago

Add the two expressions -4x + 3 and 2x - 6 enter your answer in the Box PLZ HELP FASt

Fed [463]

-4x+3+2x-6
The answer is -2x-3

3 0

3 years ago

1. MONDAY (5/18): Which of the following functions matches the graph to the right

Strike441 [17]

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

$4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6$

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

7 0

3 years ago