Answer:
y=-x+5
Step-by-step explanation:
first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)
here are the given points: (4,1) and (8,-3)
label the points:
x1=4
y1=1
x2=8
y2=-3
now substitute into the equation
m=(-3-1)/(8-4)
m=(-4)/4
m=-1
the slope of the line is -1.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute the numbers into the equation
y-1=-1(x-4)
do distributive prop
y-1=-x+4
add 1 to both sides
y=-x+5
the equation of the line is y=-x+5
hope this helps :)
X/5 + x/2 =14
⇒ 2x/10 + 5x/10 = 14 (common denominator)
⇒ 7x /10 = 14
⇒ 7x* (10/10) = 14*10
⇒ 7x = 140
⇒ (7/7)*x= 140/7
⇒ x= 20
The final answer is x=20.
Hope this helps~
Answer:
y = 130(24/13)^(x -10)
Step-by-step explanation:
The y-value changes by a factor of 240/130 = 24/13 for a unit change in the x-value. This means we can write the function as though it had an initial value of 130 and a growth factor of 24/13, translated 10 units to the right.
y = 130(24/13)^(x -10)
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<em>Additional comment</em>
This can also be written in the form ...
y = a·e^(kx)
where a=130·(24/13)^(-10) ≈ 0.28266, and k=ln(24/13) ≈ 0.61310
