The rate is 9(units of y) per (unit of x).
Answer:
Top left Equation: 
Step-by-step explanation:
You start at 2/3, or the left side.
Since the line is directing left, you are subtracting, or adding a negative.
If you see, you are moving 7 - 1/3s to the left
7 x 1/3 = 7 / 3
7 / 3 = 2 1/3
And 2/3 + (-2 1/3) = -1 2/3
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Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
Answer:
Step-by-step explanation:
So you have the equation:
. As you may know, you cannot divide by 0, so y has to be restricted in a way that the denominator is never equal to 0. So to find when y makes the denominator 0, simply set the denominator equal to 0, and solve for y. This gives you the equation: 5+y = 0, y=-5. So the y value CANNOT be equal to -5. Because it makes the denominator 0. so would be the restriction.
There are 5280 feet in a mile
45 * 5280 = 237600
there are 3600 seconds in an hour (60 minutes time 60 seconds)
so we have 237600 feet in 3600 seconds
237600 / 3600 = 66 feet per second.
