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:
it is 8.5 x 10^2 because when you times the 10 twice and then multiply it with 8.5 and the decimal moves
Answer:
The common difference of given AP is Option 2) -10.
Step-by-step explanation:
We are given the following information in the question:
First term of AP, a = 100
The sum of its first 6 terms = 5(the sum of its next six terms)
We have to find the common difference of AP.
The sum of n terms of AP is given by:
where a is the first term and d is the common difference.
Thus, we can write:
Thus, the common difference of given AP is -10.
The graph of a quadratic equation will always cross the x-axis, that’s false because only the y-axis can cross into in only one place.
Answer:
1. 1.25
2. 0.8
Step-by-step explanation:
1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25
2. 2.5 : 2 = 0.8 Ratio from Q to P - 1 : 0.8
1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.
Example:
I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.
5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.
5:4 ratio = 1 : 0.8 - So the ratio is 0.8
There this is another ratio that we can compare to.
Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.
4 x 1.25(ratio from P to Q) = 5
We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.
So just multiply 3 by 1.25.
3 x 1.25 = 3.75
3.75 x 0.8 = 3
