Answer: False
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Replace every x with -3. Then simplify the left side.
(x-5)(x-7) < 0
(-3-5)(-3-7) < 0
(-8)*(-10) < 0
80 < 0 ... this statement is false, 80 is not smaller than 0
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(x-5)(x-7) < 0 is false when x = -3
Answer:
p^2 pm pn mn
Step-by-step explanation:
Using the FOIL Method we get this result
p * p
p * n
p * m
m * n
The number of hours required for 3 tractors to plow the field is 2.4 hours
<em><u>Solution:</u></em>
Given that 5 tractors can plow a field in 4 hours
We have to find out number of hours required for 3 tractors to plow the field
5 tractors can plow a field in 4 hours, So time taken for 1 tractor
<em><u>So time taken for 3 tractors is given as:</u></em>
time taken for 3 tractor = time taken for 1 tractor x 3
So number of hours required for 3 tractors to plow the field is 2.4 hours
The answer is y = 35x + 20.
In order to find this, start with two ordered pairs. For the purpose of this problem, we'll use (1, 55) and (2, 90). Now we use the slope formula to find the value next to x in the equation.
m(slope) = (y2 - y1)/(x2-x1)
In this equation (x1, y1) is the first ordered pair and (x2, y2) is the second. Plug in to the equation and solve.
m = (90 - 55)/(2 - 1)
m = 35/1
m = 35
Now that we have the slope, plug that into the equation along with either point to find the intercept (the last number).
y = mx + b
55 = 35(1) + b
55 = 35 + b
20 = b
Now that we have the slope and intercept, we can use each to fill in those blanks.
y = 35x + 20
