Its 30 you find the unit rate by 21÷7 which equals 3 then you multipy 3x10 which gives you 30
Answer:
Step-by-step explanation:
A quadratic equation can be factorised if and only if there are rational roots.
For any quadratic equation the discriminant decides about the nature of roots.
Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.
In the given equation

Since 1 is a perfect square we can factor and solve

6 x -2 = -12
-12 = 3, -4
y = 6x^2 + 3x - 4x - 2
y = 3x(2x + 1) - 2(2x + 1)
(2x + 1) (3x - 2) = 0
2x = -1, 3x = 2
x = -1/2, 2/3
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We know that,
Julia can finish a 20-mile bike ride in 1.2 hours.
The distance Julia travels is 20 miles and the time she takes is 1.2 hours.
So, Julia's speed =
= 16.67 mph
Katie can finish the same bike ride in 1.6 hours.
The distance Katie travels is 20 miles and the time she takes is 1.6 hours.
So, Katie's speed =
= 12.5 mph
Now, to find how much faster Julia rides than Katie we subtract Katie's speed from Julia's speed.
So, 16.67 mph - 12.5 mph = 4.17 mph = 4.2 mph (approximately)
Thus, Julia rides 4.2 mph faster than Katie.