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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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A new pair of skates cost $75. They are on sale for 10% off. Sales tax is 8%. If you purchased the skates, how much would you pa
Aleonysh [2.5K]

Answer:

72.9

Step-by-step explanation:

10% off 75 gets you to 67.5

8% more than 67.5 is 72.9

5 0
3 years ago
It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to f
Hoochie [10]

Answer: 1\dfrac{3}{4}\text{ feet}

Step-by-step explanation:

Given: Length of sandwich = 10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

\dfrac{\text{ Length of sandwich}}{\text{Total people}}

=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}

Hence, length of each piece = 1\dfrac{3}{4}\text{ feet}

3 0
3 years ago
5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6
lara31 [8.8K]

Answer:

Step-by-step explanation:

distance flown in 5.4 hours = 245.6 miles

distance flown in 1 hour = 245.6/5.4

= 45.481 miles

Hope this helps

plz mark as brainliest!!!!!

8 0
3 years ago
Read 2 more answers
Write a function rule for your bacterium in the table where h is the number of hours, and b(h) is the bacterium at h hours.
kolbaska11 [484]

Answer:

B(h)=x (subscript)-1*4+1 basically x from the previous generation times 4 plus one.

Step-by-step explanation:



5 0
3 years ago
For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

x_{2}=3x_{1} -2

substitute in equation (2), we get

9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k

we cannot find the value of x_{1} and x_{2}.

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0
3 years ago
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