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3 years ago

What is y= -x^2-2x+3 in vertex form

1 answer:

6 0

y = -x² - 2x + 3
  y - 3 = -x² - 2x + 3 - 3
  y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
  y - 4 = -(x²) - (2x) - (1)
  y - 4 = -(x² + 2x + 1)
  y - 4 = -(x² + x + x + 1)
  y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
  y - 4 = -(x(x + 1) + 1(x + 1))
  y - 4 = -(x + 1)(x + 1)
  y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4

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Evaluate 13 + 6 y 13+ y 6 13, plus, start fraction, 6, divided by, y, end fraction when y = 6 y=6y, equals, 6.

Lubov Fominskaja [6]

Answer:

The answer is 14

Step-by-step explanation:

Evaluate 13 + 6/ y when y = 6

We substitute 6 for y in the above expression

= 13 + 6/6

= 13 + 1

= 14

The answer to the the above question is 14

3 0

4 years ago

Pls help me need help

Rashid [163]

Answer:1,4/5

Step-by-step explanation:https://www.cymath.com/answer?q=5x%5E2%2Bx%3D4

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3 years ago

The scale factor from S to M is 3/2 What is the scale factor from M to S

natita [175]

we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

<h3></h3><h3>What is the scale factor from M to S?</h3>

Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.

So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:

M = S*K

If that scale factor is 3/2, then we have the case of the problem:

M = (3/2)*S

We can isolate S in the above relation:

(2/3)*M = S

Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.

Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

If you want to learn more about scale factors:

brainly.com/question/25722260

#SPJ1

3 0

1 year ago

Victoria is interested in opening her own candy store. She has researched and found that of the 14 stores she investigated, the

Anna71 [15]

Answer:

99% confidence interval for the average start up cost is [76.575 , 123.425].

Step-by-step explanation:

We are given that of the 14 stores Victoria investigated, the average start up cost is 100 thousand dollars with a standard deviation of 29.1 thousand dollars.

So, the pivotal quantity for 99% confidence interval for the population average start up cost is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average start up cost = 100 thousand dollars

$\sigma$ = sample standard deviation = 29.1 thousand dollars

n = sample of stores = 14

$\mu$ = population average start up cost

<em>So, 99% confidence interval for the average start up cost, </em> $\mu$ <em> is ;</em>

P(-3.012 < $t_1_3$ < 3.012) = 0.99

P(-3.012 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 3.012) = 0.99

P( $-3.012 \times {\frac{s}{\sqrt{n} }$ < ${\bar X - \mu}$ < $3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

P( $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ , $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ]

= [ $100-3.012 \times {\frac{29.1}{\sqrt{14} }$ , $100+3.012 \times {\frac{29.1}{\sqrt{14} }$ ]

= [76.575 , 123.425]

Therefore, 99% confidence interval for the population average start up cost for a candy store is [76.575 , 123.425].

8 0

3 years ago

What is the answer to m2=91

Rzqust [24]

The answer to m2=91 is 40.5

3 0

3 years ago