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.
This angle is in the third quadrant
tan theta = -4 / -3 = 4/3 answer (and theta = 233.13 degrees)
Answer:
x = 16
Angle p = 50°
Angle q = 40°
Step-by-step explanation:
"complementary" means the angles add up to 90°.
So,
3x+2 + 3x-8 =90
combine like terms.
6x - 6 = 90
add 6
6x = 96
divide by 6
x = 16
If x = 16,
then Angle p=
3x + 2
= 3(16) + 2
= 48 + 2
= 50
Angle p = 50°
And,
Angle q
= 3x - 8
= 3(16) - 8
= 48 - 8
= 40
Angle q = 40°
Check:
40° + 50° = 90°
- Step-by-step explanation:
the explanation is in the photis
Answer:
= 11
Step-by-step explanation:
using the rule of logarithms
x = n , then x = , so
11 = a ⇒ 11 =