<u>Answer:</u>
225 ft²
<u>Steps:</u>
(20×10)+5² = 200+25 = 225 ft²
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
Step-by-step explanation:
1st one
Answer: Hong drove the truck for 294 miles.
Step-by-step explanation:
Let m represent the number of miles for which he drove the truck.
There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is
20.95 + 0.9m
Hong had to pay $285.55 when he returned the truck. It means that
20.95 + 0.9m = 285.55
0.9m = 285.55 - 20.95
0.9m = 264.6
m = 264.6/0.9
m = 294 miles
$0.18 is the answer. How I got it was you do $4.50 over 25 ounces. Then divide the $4.50 by 25. You should get 0.18