Answer:
I only
Step-by-step explanation:
dy/dx = x + 1 / y -3
(y - 3)dy = (x + 1) dx
integrate
1/2y^2 - 3x = 1/2x^2 + x
1/2y^2 = 1/2x^2 + 4x
y^2 = x^2 + 8x
y = (x^2 + 8x)^1/2
Answer:
see below
Step-by-step explanation:
Part A: (72)^x = 1
Take the log base 72 of each side
log72(72^x) = log 72(1)
We know log a^b = b log a
x log72(72) = log72(1)
x = log72(1)
x = 0
Part A: (70)^x = 1
Take the log base 70 of each side
log70(70^x) = log70(1)
We know log a^b = b log a
x log70(70) = log70(1)
x = log70(1)
x = 0
Answer:
x = 12
Step-by-step explanation:
Step 1: Define
f(x) = 2x - 7
f(x) = 17
Step 2: Substitute
17 = 2x - 7
Step 3: Solve for <em>x</em>
<u>Add 7 on both sides:</u> 24 = 2x
<u>Divide both sides by 2:</u> 12 = x
Step 4: Check
f(12) = 2(12) - 7
f(12) = 24 - 7
f(12) = 17
When the ball reaches the ground is equal to one of the zeros, or x-intercepts. In order to find the zeros of a function, you need to factor the equation.
y=16x^2+64x
y=-16x(x-4)
The zeros are x=0 and x=4
Therefore the answer is D, after 4 seconds.
Hope this helps!
