First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:
Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:
Answer:
The other number is 22.
Step-by-step explanation:
66 is the lowest common multiple of 6 and a number between 15 and 25.
The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.
Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.
And conveniently, the lowest common multiple of 6 and 22 is 66.
Hence, the other number is evidently 22.
Hope this Helps!!!
Answer:
-3x^2-21x+24
Step-by-step explanation:
Kindly separate the answer choices: (x - 4), (x + 1), (x + 4) , (x - 1). The trinomial is thus -3x^2-21x+24, which can be factored as follows: -3(x^2 + 7x - 8)
Then we have -3x^2-21x+24 = -3(x^2 + 7x - 8), which factors further into:
-3(x + 8)(x -1) and so we conclude that the only binomial that is a factor of
-3x^2-21x+24 is (x - 1).
Distance = rate * time, or rewritten rate = distance / time ---> r = d/t
<span>4 laps, 1 mile per lap = 4 miles = d </span>
<span>12 minutes = 1/5 of hour (12 min/60 min = 1/5) = t </span>
<span>r = 4/(1/5) mph </span>
Answer:
y = -3x - 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = -22 in the form y = mx+c.
9x+3y = -22
3y = -9x - 22
y = -3x - 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Final answer : y = -3x - 8.3