I suppose that you should have given some pairs to choose from.
Anyway, I can tell you how to do it. Given a pair
, you have to substitute
and
to
and
respectively, and see if you get something true.
For example, the pair
satisfies the function, because the substitution yields

which is true. On the other hand, the pair
doesn't satisfy the function, because

is clearly false.
Answer:
5
Step-by-step explanation:
5% of 100 is 5
5% as a fraction is 5/100
5/100*100= 5
Answer:
l = 10 m
w = 5 m
Steps:
Set equations:
l = 2w
30 = 2l + 2w
Substitute 2w with l in second equation to find l:
30 = 2l + 2w
30 = 2l + l
10 = l
Plug in 10 into first equation to find w:
l = 2w
10 = 2w
5 = w
Answer:
$452,340
Step-by-step explanation:
Fencing (perimeter):
255+255=450+450+450= 1860 feet
1860 / 3 = 620 yards
620 x $27 = $16,740
Seed (area):
Square area: a = lw
a = 450 x 450
a = 202500 feet
202500 x $2 = $405,000
Triangle area: a = 1/2bh
a = 1/2 x 255 x 120
a = 1/2 x 30600
a = 15300
15300 x $2 = $30,600
Add the cost of the fencing and seeds up.
$16,740 + $405,000 + $30,600 = $452,340
Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.