Answer:
M = -2
b = -10
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
m = (-8 -0)/(-1- -5)
= (-8-0)/(-1+5)
= -8/4
= -2
We now want to find the y intercept
y = mx+b is the slope intercept form of the equation
y = -2x+b
Using the point (-5,0)
0 = -2(-5) +b
0 = 10+b
Subtract 10 from each side
-10 = 10-10+b
-10 =b
The y intercept is -10
y= -2x-10
Answer:
Step-by-step explanation:
1 pound = 16 ounce
6 pound = 6 * 16 = 96 ounces
Cost of 96 ounces of grapes = $18
Cost of 1 ounce of grape = 18/96
Cost of 72 ounces of grape = 18*72 / 96 = 27/2
= $13.50
Or
Direct Proportion because is weight increase, the cost will increase
96:18 = 72 : x
Product of means = Product of extremes
18*72 = x*96
18*72/96 = x
x =$13.50
<u>Answer:</u>
42%
<u>Step-by-step explanation:</u>
We know that the number of times red side is faced up = 21; and
the total number of times colored chip is thrown = 50
Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%
Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%
Therefore, the relative frequency of the chip landing with the red side facing up is 42%.
Here, trapezoid is composed of two triangles, and one rectangle.
So, Area of rectangle = 4 * 7 = 28 cm²
Area of a triangle = 1/2 * 3 * 7 = 21/2 = 10.5 cm²
Area of Trapezoid = area of rectangle + 2(area of triangle)
= 28 + 2(10.5)
= 28 + 21 = 49
In short, Your Answer would be 49 cm²
Hope this helps!
