Hello there!
4x² = 100
We wanna start by dividing both sides by 4
4x²/4 = 100/4
x² = 25
Now we can take square root
x = +/-√25
x = 5 or x = -5
As always, it is my pleasure to help students like you!
The graph of a function is given. It is required to find the function that represents the graph.
Notice from the graph that the function has roots or zeros at -3,-2, and 2.
Hence, the function takes the form:
Where a is a constant to be determined.
Notice that the given graph passes through the point (0,-12).
Substitute x=0 and f(x)=-12 into the equation of the function to find a:
Hence, the function is:
<h2>
The third option is the answer: f(x)=(x+2)(x+3)(x-2).</h2>
Answer:
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
Step-by-step explanation:
Critical Value:
- In hypothesis testing, a critical value is a point that is compared to the test statistic
- It is used to determine whether to reject the null hypothesis or accept the null hypothesis.
- If the absolute value of your test statistic is greater than the critical value,we fail to accept the null hypothesis and reject it.
- Critical value is affected by the significance level of the testing.
- It is the value that a test statistic must exceed in order for the the null hypothesis to be rejected.
Thus, option C) is the correct interpretation of critical values.
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.
Answer:
D. y = 12.5x + 15
Step-by-step explanation:
Using the values provided in the table, the only equation that would be valid would be the following...
y = 12.5x + 15
That is because if we substitute any value provided in the table for x , this equation will correctly output the y value shown in the table for the attached x-value. For example, in the table 5 nights (x = 5) should have a total cost of 77.5 (y = 77.5)... Therefore, if we substitute 5 for x in the function it should give us 77.5 which it does.
y = 12.5(5) + 15
y = 62.5 + 15
y = 77.5
