First, you must add the two rates together, since the object are heading together: 2000 + 1000 = 3000 Next, you simply divide that by 60 to find the rate of miles per minute:
3000 / 60 = 50 50 miles is going to be your answer since this is the last minute before impact. This means that in another minute, they will travel 50 more miles and collide
Answer:
x = ± 12
Step-by-step explanation:
Given
f(x) = x² - 144
To find the roots set f(x) = 0, that is
x² - 144 = 0 ( add 144 to both sides )
x² = 144 ( take the square root of both sides )
x = ± = ± 12
Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑<em>[slope-intercept formula; m is the slope, and b is the y-intercept]</em>
y = 4x + −1
⬑<em>[given equation before being simplified]</em>
y = 4x − 1
⬑<em>[given equation]</em>
║m = 4
║b = (0, −1)
Proof:
m = =
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m =
║m = 4
║b = (0, −1)
<em>[the value for x₁ and y₁ equals the </em><em>y-intercept: (0, </em>−<em>1)</em><em>]</em>
Graph:
Note: I'm assuming you mean that
.
Taking the logarithm gives:
Using our rules of logarithms (
), we have:
This corresponds to answer A.