Answer:
The point where f(x), g(x), and h(x) have the same value is (8, 11)
Step-by-step explanation:
The points where g(x) and h(x) have the same value is given as follows;
2x - 5 = 8/x + 10
2x² - 15x - 8 = 0
Using an online tool, we have;
(x - 8)(2x + 1) = 0
x = 8 or x = -1/2
∴ g(x) and h(x) = 11 or y = -6
For x = 8, we have;
f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11
For x = -1/2, we have;
f(x) = 2^(-1/2 - 5) + 3 = 3.022
Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.
Answer:
124
Step-by-step explanation:
Answer: ∠ACB= 60°, ∠DCE= 65°, ∠BCD= 55°
Step-by-step explanation:
1) Since ΔABC is an equilateral, we know ∠ACB= 60°
2) Since we know ΔCDE is an isosceles, we know that ∠DCE= 1/2 (180-50), which is 65°
3) We can add the 2 angles and then subtract them from 180 degrees to get ∠BCD= 55°
Answer:
A
Step-by-step explanation:
1) Multiply 0.75 for m and -250
162.5 + 0.75m - 187.5
2) sum the therms without m
0.75m - 25