Answer:
y=6
Step-by-step explanation:
The equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).
1 gal because there is 16 cups in a gallon
Answer:
Step-by-step explanation:
From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)
Therefore,
x = -4 ⇒ x + 4 = 0
x = -1 ⇒ x + 1 = 0
x = 3 ⇒ x - 3 = 0
Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor
So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial
If we multiply the constants, this will give us the y-intercept:
⇒ 4² x 1 x -3 = -48
From inspection of the graph, the y-intercept is -6
So to get from -48 to -6 we need to multiply -48 by 1/8
Therefore, n = 1/8
1. The amount will remain the same because 1/8*8/1*x=1x
2. 15*5280/3600=ft per second
The conversion factor between kilo and base unit which is grams in this question is 1000 so there is 1000 grams in 1 kilogram so first we need to convert kilograms to grams so we multiply by 1000 so 30kgx1000= 30000 grams so to find the number of crayons then we divide by 30 which is the mass of one crayon to find out how many we need so 30000/30= 1000 so you would need 1000 crayons
