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netineya [11]
3 years ago
13

What does the quadratic function y=x2−10x+9 look like when rewritten in the form f(x)= a(x-h)^2 +k?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0

y=x^2-10x+9\\\\y=x^2-10x+25-16\\\\y=(x-5)^2-16

loris [4]3 years ago
3 0

We must use

(a-b)^2=a^2-2ab+b^2\qquad(*)

We have:

y=x^2-10x+9=x^2-2(x)(5)+9=\underbrace{x^2-2(x)(5)+5^2}_{(*)}-5^2+9\\\\=(x-5)^2-25+9=\boxed{(x-5)^2-16}


a=1,\ h=5,\ k=-16

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Less than 75% of workers got their job through internet resume sites. A researcher thinks it has increased.
Vera_Pavlovna [14]

Answer:

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.

The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.

As H0 is supposed to be less than we choose H1 to be greater than equality.

5 0
3 years ago
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Ira Lisetskai [31]

Answer:

\frac{13}{3} ÷ (-\frac{5}{6})

Step-by-step explanation:

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4 0
3 years ago
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Jennifer made 5 liters of punch for her party. Her brother made another 750 mL. If they combine the two batches, how many 180mL
Nat2105 [25]
We know that

1 liter----------------> 1000 ml
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the answer part A) is 5750 ml

Part B) </span><span>how many 180 mL servings would they have?
</span>[180 mL servings]=5750/180=31.94-----------> 31 

they would have 31 (180 ml servings)
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7 0
4 years ago
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rjkz [21]

Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

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<u>0.025</u>

0.275

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7 0
2 years ago
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natka813 [3]

Answer:

(g · h)(t) = -6t - 6

Step-by-step explanation:

To find (g · h)(t), multiply g(t) by h(t).

g(t) = 3t + 3

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(g · h)(t) = (-2)(3t + 3)

(g · h)(t) = -6t - 6

3 0
3 years ago
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