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creativ13 [48]
3 years ago
11

explain how the graph of y=-2sin(x)-1 differs from the parent function. Make sure to compare key points used for graphing

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0
You can obtain the graph of the function y=-2sinx-1 from the graph of the function y=sinx making such transformations:
1.  <span>the multiplication by -2 increases y value twice and then  symmetrically reflects the graph y=2sinx about the x-axis;</span>
2. adding -1 to the  <span>y=-2sinx you translate the graph 1 unit down.
</span><span>
</span><span>On the added picture black line is a graph of y=sinx and red line is a graph of y=-2sinx-1.</span>

Check:
1. When x=0, y=-2sin0-1=-1;
2. When x= \frac{3\pi}{2}, then y=-2\sin  \frac{3\pi}{2} -1=-2(-1)-1=2-1=1.


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In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of
postnew [5]

Answer:

Step-by-step explanation:

b=boy

a= a on the exam

b=15

b∩a=6

b'∩a=3

b'∪a'=?

b'∪a'= b'+a'-b'∩a'

a= b∩a+b'∩a (law of total probability) = 9

a'= 25-9 = 16

b'= 25-15= 10

16+10-7=19

19/25= .76

7 0
3 years ago
What is the vertex of f(x) = |x + 8| – 3?
Arte-miy333 [17]

Answer:

(-8,-3)

Step-by-step explanation:

This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).

5 0
3 years ago
A certain marathon has had a wheelchair division since 1977. An interested fan wondered who is​ faster: the​ men's marathon winn
Dimas [21]

Answer:

A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample​ and/or if the population of differences in winning times for all years is normal.

Step-by-step explanation:

In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.

8 0
3 years ago
Please help with this problem ,<br> what is 5 x 6
-BARSIC- [3]

Answer:

the answer is 30

8 0
3 years ago
Read 2 more answers
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
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