Answer:
The answer is x = 9
Step-by-step explanation:
(1/3)*x+4 = x-2 // - x-2
(1/3)*x-x+2+4 = 0
6-2/3*x = 0 // - 6
-2/3*x = -6 // : -2/3
x = -6/(-2/3)
x = 9
Answer:
a). y = 0.25x + 15
b). x = 480 cups
Step-by-step explanation:
(a). Let the equation of the linear function passing through a point (x', y') is,
y - y' = m(x - x')
'm' = slope of the line
b = y-intercept
Two points lying on the linear function will be (200, 65) and (250, 77.5).
Slope of the line 'm' = 
m = 
= 
= 0.25
Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,
y - 65 = 0.25(x - 200)
y - 65 = 0.25x - 50
y = 0.25x + 15
(b). For y = $135 we have to calculate the number of cups of coffee produced.
135 = 0.25x + 15
0.25x = 135 - 15
0.25x = 120
x = 480 cups
Therefore, 480 cups of coffee will be produced.
Answer:
B. (-0.5, 5.75)
Step-by-step explanation:
I graphed the equation on the graph below to find the vertex of the equation.
Answer:
£800
Step-by-step explanation:
Use the percentage formula: NV = m x OV
NV is New Value;
m is Multiplier;
and OV is Old Value.
£640 in the New value, so now we have to convert 20% to a multiplier and find out the Old value.
Make OV the subject of the formula: OV = NV / m
So 20% decrease would mean: 100 - 20 = 80 * 100 = 0.80
Divide 640 (NV) by 0.80 (m) and it will give you:
£800
And it would make sense that the OV is higher, and it matches the statement -> as the NV is the decrease.
I think the answer is
No
No
Yes
But I'm not sure about the last one