If f(x) = x^2 - 4, find f(x + h)

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.

NemiM [27]

Answer:

c

Step-by-step explanation:

7 0

3 years ago

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Please help me with this

Kisachek [45]

All you need to do is replace the variables with the numbers given.

t=9 & u=11

3+ 11t - 9u

3+ 11(9)-9(11)

3+ 99 - 99

The 99's cancel each other out, so you are left with 3.

The answer is 3.

7 0

3 years ago

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The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Using the relationship

torisob [31]

The value of x is 30

Solution:

Given that measure of exterior angle of regular polygon is 2x

The measure of interior angle is 4x

To find: value of x

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

measure of exterior angle + measure of interior angle = 180

2x + 4x = 180

6x = 180

x = 30

Finding the measure of an exterior angle

measure of exterior angle = 2x = 2(30) = 60 degrees

Finding the measure of interior angle

measure of interior angle = 4x = 4(30) = 120 degrees

8 0

3 years ago

In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur

aksik [14]

Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

Laura's hours + Doug's hours = 250 total hours

Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:

x + x + 40 = 250 and

2x = 210 so

x = 105

Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!

8 0

4 years ago

The Highway Safety Department wants to study the driving habits of individuals. A sample of 41 cars traveling on the highway rev

PolarNik [594]

Answer:

58,21 ≤ μ ≤ 61,79

Step-by-step explanation:

Normal Distribution

Poputation size n = 41

Population mean X = 60

Population standard deviation σ = 7

Question is: Confidence Interval 90 % ??

As Confidence Interval is 90 % then α = 10 %

And as we are dealing with a two tail test

α/2 = 0,05

We look in Z table for values for α/2 = 0,05 and find

z(α/2) = - 1,64 and z(α/2) = 1,64

Then

Confidence Interval is

X - Zα/2 * σ/√n ≤ μ ≤ X + Zα/2 * σ/√n

60 - ( 1,64 ) * 7/√41 ≤ μ ≤ 60 + ( 1,64 ) * 7/√41

60 - 1,64 * 1,09375 ≤ μ ≤ 60 + 1,64 * 1,09375

60 - 1,79375 ≤ μ ≤ 60 + 1,79375

58,21 ≤ μ ≤ 61,79

4 0

4 years ago