Which expression is equivalent to 7(xy)??
1 answer:
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Answer:
linear and y = 2x + 19
Step-by-step explanation:
the x- values increment by 2 and the values of y increment by 4
This indicates a linear relationship exists in the form
y = mx + c ( m is the slope and c the y-intercept )
m = =
= 2
y = 2x + c ← is the partial equation
to find c use any ordered pair from the table
using (- 5, 9 ), then
9 = - 10 + c ⇒ c = 9 + 10 = 19
y = 2x + 19 ← linear equation
As a check
x = - 7 : y = - 14 + 19 = 5 ← correct value of y
x = - 5 : y = - 10 + 19 = 9 ← correct value of y
x = - 3 : y = - 6 + 19 = 13 ← correct value of y
x = - 1 : y = - 2 + 19 = 17 ← correct value of y
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
now all we have to do is get x by itself
so..
then
now take the square root of each side
2.857 seconds (rounded to the third decimal)
because of this, we can replace H(x) with 0
now all we have to do is get x by itself
so..
then
now take the square root of each side
2.857 seconds (rounded to the third decimal)