Answer:
y=-2x+8
Step-by-step explanation:
Slope=-2
Y intercept= 8
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.
The y-intercept will be -9.
Answer:
Step-by-step explanation:
Given
Population changes exponentially
------1
-----2
divide 1 & 2 we get
Substitute in 1 we get
Thus
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
Answer:
The distance is 32
Step-by-step explanation:
One way is to subtract -12 and 20, which equals 32.
Another way is to add 12 and 20 since distance on a number line is always positive, which equals 32.