Answer:
40mph
Step-by-step explanation:
Using D = rt, the current variables we have are
D = 20 miles
t = 30 minutes
Since the goal is rate, we alter the equation to r = D/t.
In addition, we have to convert minutes into hours so we can
r = (20 / 30)*2/2
r = (40/60)
60 minutes is converted into an hour so the rate <em>r</em> is 40 miles per hour.
r = 40/1
Answer:
C
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
Step 1: Subtract 7 from both sides.<span><span><span><span>4x</span>+7</span>−7</span>=<span>23−7</span></span><span><span>4x</span>=16</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>164</span></span><span>x=4</span>Answer:<span>x=<span>4</span></span>
Answer:
Step-by-step explanation: