Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
Answer:
Step-by-step explanation:
put them both in exponential form and then since they are both base 6, you can add the exponents.
(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
x>4
Step-by-step explanation:
2x>4(3x-5)-20
2x>12x-20-20
2x>12x-40
2x-12x>-40
-10x>-40
x>4
Answer: 7065 cm
Step-by-step explanation:
Find the volume as the bowl was a whole sphere and then divide the volume found by two, to get the volume of half the sphere.
(4/3) * π*(r^3) ≈ 14130 cm
14130/2 ≈ 7065 cm
This is an approximated result using π = 3.14
