Given:
The graph of a function
.
To find:
The interval where
.
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So,
for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So,
for
.
Now,
For
, the graph of h(x) is above the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
For
, the graph of h(x) is below the x-axis. So,
.
Only for the interval
, we get
.
Therefore, the correct option is A.
The answer is
96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the
z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the
percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is
96%.
Answer:
The equation has no solution.
Step-by-step explanation:
Hi there!
First, let´s write the equation:
(√x + 3) + 6 = 3
To solve the equation, let´s subtract 6 to both sides of the equation:
√x + 3 = -3
subtract 3 to both sides of the equation:
√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).
Square both sides of the equation:
x = 36
Now, let´s check the solution:
(√x + 3) + 6 = 3
x = 36
(√36 + 3) + 6 = 3
(6 + 3) + 6 = 3
9 + 6 = 3
15 ≠ 3
Then, the equation has no solution.
Have a nice day!
The answer is: [D]: 2x + 22 .
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A supplementary angle is an angle in which two of it's measurements can be added to equal 180 degrees.
For example, a measure of 130 and a measure of 50 in the same shape.
They can both be added to equal 180.