Answer:
Option c is right.
Step-by-step explanation:
Given is a parabola y =x^2
From that transformation is done to get parabola as
y =(0.2x)^2
We find that instead of x here we use 0.2x
i.e. New x = 5 times old x
Hence there is a horizontal expansion of scale factor 5.
We can check with any point also
When y =4, x=2 in the parent graph
But when y =4 , we have x = 10 in the new graph
i.e. there is a horizontal expansion of scale factor 5.
Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Given that the sample size is 12, thus the degree of freedom = 12 - 1 = 11.
Using technology, the p value of the t statistic, t = 2.028 is 0.9663.
Answer:
181 feets
Step-by-step explanation:
Given that:
Rate of change in water level = - 1.5 feets per month
Water level at beginning of May = 187 feets above sea level
Water level at the end of 4 months =?
Total change after four months = rate of change per month * number of months
= - 1.5 * 4 = - 6 feets
Hence water level after 4 months :
187 feets + (-6 feets)
187 feets - 6 feets
= 181 feets
X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
