Answer:
x=5 x=3
Step-by-step explanation:
x^2 - 8x + 15 = 0
Factor
What 2 numbers multiply to 15 and add to -8
-5*-3 = 15
-5-3 = -8
(x-5)(x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Convert 3 4/7 into an improper fraction: 25/7
17/21 divided by 25/7
Dividing by a fraction is the same as multiplying by it's reciprocal.
17/21*7/25
Simplify:
17/3*1/25
Multiply across:
17/75
Hey there!
The answer is C.
First of all, let's assign variables. We can use t for tricycles and b for bicycles.
Next let's look at the first statement:
"There are at most 12 bicycles and tricycles in a school playground."
"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.
We can write this as b + t ≤ 12.
Now we can look at the second statement:
"There are at least 17 wheels altogether."
"At least" means the number 17 will be included in the inequality.
Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.
That can be written as 2b + 3t ≥ 17.
Our final system of inequalities:
b + t ≤ 12
2b + 3t ≥ 17
This matches option C.
Hope this helps!
<span>f(x) = 5x+1
f(-4) = 5(-4) + 1 = -20 + 1 = -19
hope that helps
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