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3 years ago

The equation of a parabola is given.

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

Directrix equation: y = 11/2

y = k - c = 6 - 1/2 = 11/2

Step-by-step explanation:

y=(1/2) x^2+6x+24

factor this

y = (1/2)* [ x^2 + 12x ] + 24

y = (1/2)* [ x^2 + 12x + 36 - 36] + 24

y = (1/2)* [ (x + 6)^2 - 36] + 24

y = (1/2)* (x + 6)^2 - 18 + 24

y = (1/2)* (x + 6)^2 + 6

y - 6 = (1/2)* (x + 6)^2

2*(y - 6) = (x + 6)^2

4c = 2, (h, k) = (-6, 6)

c = 1/2

Directrix equation: y = k - c = 6 - 1/2 = 11/2

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Find the value of ....

kaheart [24]

I don't think this is middle school...

(2^8 x 3^-5 x 6^0)^-2 x ((3^-2)/(2^3))^4 x (2^28)

(256 x (1/243))^-2 x ((1/9)/(8))^4 x 268435456

1.05349794239^-2 x (<span>0.01388888888)^4 x 268435456
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0.90101623534 x </span><span>3.72108862e-8 x 268435456

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8 0

3 years ago

A university administrator was interested in determining if there was a difference in the distance students travel to get from c

eduard

Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

$H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0$

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

If p-value is equal to or less than the significance level, then we reject the null hypothesis
If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

7 0

3 years ago

4{[5 (x-3)+2]-3 [2 (x+5)-9]}

Over [174]

Pemdas
parenthasees exponents mult/division additon/subtraction

parethenasees
x-3 and x+5 we can't do anything with so next
5(x-3)=5x-15

2(x+5)=2x+10

5x-15+2=5x-13

(2x+10-9)=2x+1

(5x-13)-3(2x+1)
-3(2x+1)=-6x-3

5x-13-6x-3=-x-16

4(-x-16)=-4x-64

the answer is -4x-64

6 0

3 years ago

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Inessa05 [86]

Answer:

Step-by-step explanation:

3 0

3 years ago

Rae runs 4 times as many miles as Madison and Aaliyah combined. Madison runs m miles, and Aaliyah runs a miles.

mash [69]

Answer: $4(m+a)$

Step-by-step explanation:

<h3> The complete exercise is: "Write an expression using letters and/or numbers for each problem below"</h3>

For this exercise it is necessary to remember the following:

1. The word "times" indicates multiplication,

2. The word "combined" indicates addition.

In this case let "m" represents the amount of miles that Madison runs and let "a" represents the amount of miles that Aaliyah runs.

Based on the explained above, you know if the amount of miles that Madison runs and the amount of miles that Aaliyah runs are combined (or in other words, they are added), then the expression that represents this would be:

$m+a$

Therefore, you can determine that "4 times as many miles as Madison and Aaliyah combined", can represented with the following expression:

$4(m+a)$

6 0

3 years ago