Answer:
I guess that you want to find the profit:
We have two equations:
the cost equation:
C(x) = -0.1*x^2 + 100.
And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:
S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140
Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:
P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).
Then the profit is 0.4 times the initial cost.
P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40
Answer:
a) True.
b) False.
c) True.
d) False.
e) True.
Step-by-step explanation:
A. ∠F corresponds to ∠F'. True.
B. Segment EE' is parallel to segment FF'. False. They intersect each other at the origin.
C. The distance from point D' to the origin is One-third the distance of point D to the origin. True.
We can get the ratio D'E'/DE:
![D'E'=\sqrt{(-3-0)^{2} +(-3-0)^{2} } =\sqrt{18}=3\sqrt{2} \\ DE=\sqrt{(-9-0)^{2} +(-9-0)^{2} } =\sqrt{162}=9\sqrt{2}\\ \frac{D'E'}{DE} =\frac{3\sqrt{2}}{9\sqrt{2}} =\frac{1}{3} \\ D'E'=\frac{1}{3}*DE](https://tex.z-dn.net/?f=D%27E%27%3D%5Csqrt%7B%28-3-0%29%5E%7B2%7D%20%2B%28-3-0%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B18%7D%3D3%5Csqrt%7B2%7D%20%20%5C%5C%20DE%3D%5Csqrt%7B%28-9-0%29%5E%7B2%7D%20%2B%28-9-0%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B162%7D%3D9%5Csqrt%7B2%7D%5C%5C%20%5Cfrac%7BD%27E%27%7D%7BDE%7D%20%3D%5Cfrac%7B3%5Csqrt%7B2%7D%7D%7B9%5Csqrt%7B2%7D%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%20D%27E%27%3D%5Cfrac%7B1%7D%7B3%7D%2ADE)
D. The measure of ∠E' is One-third the measure of ∠E. False.
E. △DEF ~ △D'E'F'. True. They are similar triangles.
Answer:
- A. Robin because there are 36 outcomes and only one is (6, 6).
Step-by-step explanation:
<u>You would get the probability of double sixes as:</u>
Correct choice is A
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
173
Decimal Form:
5.¯6
Mixed Number Form:
523
Step-by-step explanation:
Answer:
A9.5
Step-by-step explanation:
I used a calculator......hope it helped:)))))))))))