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stepan [7]
3 years ago
9

Solve f(x) = g(x) algebraically. f ( x ) = x 2 − x − 30 g ( x ) = − 2 x + 26

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

x= 7 and -8

Step-by-step explanation:

hope this helps!

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The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. If the temperature is 20 C what is it in Fahrenheit?
ahrayia [7]
F = C x 9/5 + 32
(20) x 9/5 + 32
= 68
5 0
4 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
4 years ago
Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?
hoa [83]

Answer:

  1

Step-by-step explanation:

The centroid is the average of the coordinates of the three vertices. If you know two vertices (A and B) and the centroid (Q), then the third vertex (C) is ...

  C = 3Q -A -B

It has only one possible location.

7 0
3 years ago
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and
notsponge [240]

Answer:

D. y=-2x-6

Step-by-step explanation:

<u><em>First start with what we know....</em></u>

y = -2x + 3 (Slope Intercept Form)

<u><em>Because of this we can eliminate B.  </em></u>

<u><em>Parallel means that the lines wouldn't be touching which means they should have the same slope and the only one with the same slope is D. </em></u>

7 0
3 years ago
Read 2 more answers
A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Harlamova29_29 [7]

Answer:

npr=  n!  /(n-r) !

nCr= =(n r) = n!  /r!(n-r)1

Step-by-step explanation:

6 0
3 years ago
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