Answer:
<h2>y = 2</h2>
Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12

So the formula for the variation is

when
x = 8

we have the final answer as
<h3>y = 2</h3>
Hope this helps you
Answer:
y=2x-3
when two lines are parallel, they have the same slope.
in the formula y=mx+b, m=slope of the line
we know 2 will be the slope for the line passing through (4,5)
next plug in (4,5) into the formula with 2 as the slope
4=x 5=y
next 5=2(4)+b
and you end up with
y=2x-3 when you simplify
Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
Answer:
<u>9 feet 2 inches</u>
Step-by-step explanation:
Given :
⇒ Height of SUV = <u>6 feet 4 inches</u>
⇒ Height of box = <u>2 feet 10 inches</u>
<u />
============================================================
Solving :
⇒ Total Height = Height of SUV + Height of box
⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches
⇒ Total Height = 8 feet 14 inches
* But, 12 inches = 1 feet *
Hence,
⇒ Total Height = 8 feet + 1 foot + 2 inches
⇒ Total Height = <u>9 feet 2 inches</u>