You would shift this to the right 8 places. This is because in vertex form, the x value is the opposite of the number in the parenthesis with the x.
Answer:
Table a match with Graph 3
Table b match with Graph 2
Table c match with Graph 4
Step-by-step explanation:
<u>Table a</u>
Time is plotted on x - axis and Temp on y axis
From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3
<u>Table b</u>
Time plotted on x axis, cost on y axis
Looking at the values we see that they are almost linear except for 2 values at x = 2 and 2.5 and at y = 5 and 5.3.
Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2
However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2
<u>Table c</u>
Months plotted on x axis and length of fetus on the y axis
We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows down between months 6 and 9. Only Graph 4 fits this pattern
Answer:
I think that the remainder would be 39. I am not 100% sure however.
Step-by-step explanation:
I started by doing 8411-5200 because 100 groups of 52 is 5200. I got 3211 and then divided that by 52. I got 62 r 39. Hope this helps!!
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.
Answer:
1.) 2.06
2.) 0.43
3.) 0.52
4.) 5.06
5.) 0.51
6.) 4.2
7.) 2.02
8.) 0.7
9.) 0.6
10.) 3.05
11.) 1.3
12.) 0.2
13.) 0.5
14.) 0.4
15.) 0.02
16.) 0.07
17.) 6.01
18.) 3.2
19.) 0.53
20.) 1.2
Step-by-step explanation:
Simple addition with decimals. If you have a whole number like 5, with a decimal like 0.07, 5+0.07 would be 5.07. 5 would take the spot of 0 in the ones place and .07 would remain. If you have 0.10+0.8, it would be 0.9 as your answer since we make 0.8 to 0.80 or 0.10 to 0.1 and add the two together. Hope this helped!