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allochka39001 [22]

3 years ago

7

The volume of a rectangular prism is 3,240 ft3. The prism is 9ft long and 12ft wide. How tall is the rectangular prism? Please h

elp me im really struggling thanks in advance.

1 answer:

Softa [21]3 years ago

5 0

3.5*10^5
''''''''''''''''

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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

so

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

so

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

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

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Mumz [18]

The answer is 15/6 (5+5+5)/6

4 0

3 years ago

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What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)

rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

$\frac{1-3}{-2-k}=\frac{-2}{-2-k}$

and

$\frac{0-k}{1-5}=\frac{-k}{-4}$

To find K, set them equal.

$\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0$

Factor the quadratic and solve for K.

$(k+4)(k-2)=0$

k+4=0 so k=-4

k-2=0 so k=2

4 0

4 years ago

Find the lateral area

Dahasolnce [82]

Answer:

228

Step-by-step explanation:

3 0

3 years ago

Diane sold t-shirts at a festival and made a profit of $84 . She made $6 for each t-shirt she sold. Her total expenses were $30.

sweet-ann [11.9K]

Answer:

9 t-shirts

Step-by-step explanation:

Well if she made a profit of $30 that would mean that you would subtract $84-$30 which would give you $54. Than you would divide 54/6 to find how much t-shirts she sold.

-Hope this helped (this is one of the first questions ive answered )

7 0

3 years ago