Answer:
a = -11, 17.
Step-by-step explanation:
-7 = |a-3| / -2
Multiply both sides by -2:
|a - 3| = 14
So a - 3 = 14
Giving a = 17
or
a - 3 =- -14
giving a = -11.
Checking these values:
-7 = |17-3| / -2 = 14/-2 = -7
- so a = 17 is a solution.
-7 = |-11-3| / -2 = 14/-2 = -7
so a = -11 is also a solution.
Answer:
Option a. The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation:
If we draw a graph of f(x) = |x| and g(x) = 3|x| and we compare them
we find that g(x) is stretched vertically.
Now we will check it from both the graphs.
For graph y = |x|
for x = 4
y = 4
But for second graph which is y = 3|x|
for x value = 4
y = 12
Therefore for y values graph g(x) got stretched vertically.
Hence option a. is correct.
Answer:
<h2>495 different ways</h2>
Step-by-step explanation:
We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.
If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.
12C8 = 12!/(12-8)!8!
12C8 = 12!/4!8!
12C8 = 12*11*10*9*8!/4*3*2*8!
12C8 = 12*11*10*9/4*3*2
12C8 = 11*10*9/2
12C8 = 11*5*9
12C8 = 495
<em>Hence the committee can sit in the chairs in 495 different ways</em>
Answer:
D. No, because 50% is within the bounds of the confidence interval.
Step-by-step explanation:
"52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus±3%"
This means that the 95% confidence interval for the percentage of people that plan on voting for Robert Smith is
(52-3 = 49%, 52+3 = 55%).
We can't say that he will win the election, because at the 95% confidence level, the proportion is not guaranteed to be above 50%.
So the correct answer is:
D. No, because 50% is within the bounds of the confidence interval.
Answer:
y=-2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-2(x-(-2))
y-0=-2(x+2)
y=-2x-4+0
y=-2x-4
