<span><span> x = 7/5 = 1.400
</span><span> x = 0 </span></span>
Answer:
y=-3/2x+2
Step-by-step explanation:
The function f(x) is:
f(x)=x
This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.
The function p(x) is:
p(x)=mx+C
Whereby (m) is the slope and (C) is a constant.
m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.
Now when y=-3, x=-3.
So:
-3=-4/3 *(-3) +C
-3= 4 + C
C=-7
This means that:
p(x)=-4/3x -7
Now, where p(x)=g(x), x=-6.
p(-6)=-4/3 * (-6) -7
p(-6)=24/3 -7
p(-6)=8-7
p(-6)=1
Therefore:
p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.
Answer:
Step-by-step explanation:
Let the relation between the total number of candies (y) and number of bags (x) is,
y = mx + b
Here, b = Extra pieces of candies sitting outside the box.
m = Candies per box
From the question,
x = 4,(Number of bags are 4)
y = 4m + 4
If total number of candies are 36,
36 = 4m + 4
4m = 32
m = 8
Each bag will contain 8 candies.
Therefore, equation representing the relation is,
y = 8x + 4
Now complete the table by substituting the values of x,
x y
1 12
2 20
3 28
4 36
5 44
6 52
7 60
8 68
9 76
10 84
Answer:
200
Step-by-step explanation:
Use the ratio: 20/100 = 40/X
Simplify the ratio: 1/5 = 40/X
Cross Multiply: 1X = 200
Divide both sides by 1: 1X/1 = 200/1
Simplify: X = 200
