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aev [14]
3 years ago
5

Write in standard form y=2(x-1)^2+6

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

Y=2x+2

Step-by-step explanation:

Im not 100% sure this is correct but what I did was

Y=2(x-1)^2+6

2(x-1) = 2x -2

Y=2x -2^2 +6

Y=2x -4 + 6

-4 + 6 = 2

So y=2x+2 (y=mx+b)

I hope this helps you

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A triangle has height 15 in. And area 120 in2. what is length of its base
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Which statement is a correct interpretation of the vertical line test?
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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

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3 0
3 years ago
you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of p
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Step-by-step explanation:

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6 0
2 years ago
The following histogram presents the amounts of silver (in parts per million) found in a sample of rocks. One rectangle from the
gladu [14]

Answer:

  • <u><em>The height of the missing rectangle is 0.15</em></u>

Explanation:

The image attached has the mentioned <em>histogram</em>.

Such histogram presents the relative frequencies for the clases [0,1], [1,2],[2,3], [4,5], and [5,6] Silver in ppm.

Only the rectangle for the class [3,4] is missing.

The height of each rectangle is the relative frequency of the corresponding class.

The relative frequencies must add 1, because each relative frequency is calculated dividing the absolute class frequency by the total number in the sample; hence, the sum of all the relative frequencies is equal to the total absolute class frequencies divided by the same number, yielding 1.

In consequence, you can sum all the known relative frequencies and subtract from 1 to get the missing relative frequency, which is the height of the missing rectangle.

<u>1. Sum of the known relative frequencies</u>:

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<u>3. Conclusion</u>:

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4 0
3 years ago
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