Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
2m-5-5= -3m +15
2m -10= -3m+15
2m+3m= 15+10
5m= 25
m= 25/5
m=5
Answer: Any line with a slope of 4/7 and a y-intercept that is NOT -2
You should first turn the equation into y intercept form:
7y - 4x = -14; Add 4x from both sides
7y = 4x - 14; divide 7 from both sides
y = 4/7x - 2
Since you did not include choices, the answer will be the line with the slope 4/7 and without the y-intercept -2, because lines that are parallel will always have the same slope.
Example Answers: y = 4/7x + 2, y= 4/7x - 4
y = 4/7x + 10
If you subtract 16 on both sides... x will be alone. Therefore 51-16=35
x=35 (B)
A = lw
A = (5 × 10^3)(6 × 10^2)
= 5000 × 600
= 300000
= 3 × 10^6 m^2
