Answer:
-8
Step-by-step explanation:
Given that x and y are two variables. they are related by the function
y =8-2x
Since x and y are related, given one value we can find the other using this equation.
In our question, given that x =8
Substitute x value in the equation
y = 8-2x
y =8-2(8) = -8
Hence answer is -8:
Verify: We verify by putting -8 for y and check whether x =8
-8=8-2x
Or 2x = 16
x =8
Verified
Answer:
$36
Step-by-step explanation:
1. Determine the surface area of the largest jaw breaker
Surface area of a sphere = 4πr²
4 x 3.14 x 2² = 50.24in²
2. Determine the surface area of the new jaw breaker
4 x 3.14 x 6² = 452.16 in²
3. Determine the cost per area
4/ 50.24
4. Determine the price for the new jaw breaker
4/ 50.24 x 452.16 = $36
Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope
so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2
perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2
y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b
so the equation is
y=-2x-3
your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation
so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
To find 1/3 of 27 divide 27 by the denominator (which in this case would be 3) then multiply by the numerator (which is one) so you'd do 27 divided by 3 then multiply by 1
