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Whitepunk [10]
4 years ago
7

Why is x =6 A solution to the proportion 192/36 = 32/×

Mathematics
2 answers:
lorasvet [3.4K]4 years ago
7 0

Answer:

C

Step-by-step explanation:

Because if you substitute 6 into the equation for x and cross multiply, you get 1,152 = 1,152

Georgia [21]4 years ago
4 0

\dfrac{32}{x}=\dfrac{192}{36}\qquad\text{cross multiply}\\\\192x=(32)(36)\qquad\text{divide both sides by 192}\\\\x=\dfrac{1152}{192}\\\\\boxed{x=6}

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F(x) = x^2 + 8x + 15; Find f(-14/5)
mamaluj [8]

Answer:

either 449/25 or 11/25 depends on the -14/5 or

Step-by-step explanation:

-  \frac{14}{25}  or \:  \frac{ - 14}{25}

if it the first one then the answer should be 449/25 but if ut the second one it should be 11/25 .

u just substitute the -14/5 to x then solve

7 0
2 years ago
Convert y =(x+1)(x-9) to vertex form
IgorC [24]

Answer:

y = (x - 4)² - 25

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

y = (x + 1)(x - 9) ← expand factors using FOIL, thus

y = x² - 8x - 9

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

y = x² + 2(- 4)x + 16 - 16 - 9

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5 0
3 years ago
The range of y= 2/3 sin x for pi < x < 3pi/2 is ___?
victus00 [196]

Answer:

-2/3 < y < 0

Step-by-step explanation:

y = Asin(x)

Edit*

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5 0
3 years ago
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telo118 [61]

Answer:

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3 years ago
I need the function for the volume of the box for number 1
rjkz [21]

Answer:

Step-by-step explanation:

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V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

3 0
2 years ago
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