Answer: Option a.
Step-by-step explanation:
Make the denominator equal to zero and solve for x:
Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2
The answer is the option a.
Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
The dependent variable is the total number of paintings.
The total number of paintings depends on the number of weeks that have passed.
<span>This scenario is a function because for each week that passes, there will be exactly one total number of paintings.</span>
Answer:
z = 106°
As a straight line has total 180°
Find the top inside angle:
t + 142° = 180°
t = 180° - 142°
t = 38°
Two opposite angles sum up to exterior angle.
<u>Now find z:</u>
68° + 38°
106°
Answer:
C) The test provides the convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.
Step-by-step explanation:
Options are missing from the question. The complete question with its options is shown in the image below.
We need to describe about the Type 1 error. In Statistics there are two main errors: Type 1 error and Type 2 error.
- Type 1 Error occurs when we reject the null hypothesis when infact its true.
- Type 2 Error occurs when we fail to reject the null hypothesis when infact its false.
In the given case the Null Hypothesis is:
The proportion of all washers produced with the specified diameter is equal to 90 percent.
The Type 1 error will occur when the test results will reject the Null hypothesis and accept that the specified diameter is greater than 90% , when infact the Null hypothesis is true and actual proportion is equal to 90%.
Therefore, the correct option will be:
C) The test provides the convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%.