Answer:
y = - 3x + 10
Step-by-step explanation:
We have to write an equation of a straight line in slope-intercept form that passes through the points (3,1) and (0,10).
Now, the equation of the straight line (using two points form) will be
⇒ y - 1 = - 3(x - 3)
⇒ y - 1 = 9 - 3x
⇒ y = - 3x + 10 (Answer)
{Since the slope-intercept form of a straight line equation is y = mx + c}
We know the equation of a straight line when any two points on the straight line (
), (
) are known, will be
Answer:
c = 0.18p
Step-by-step explanation:
If you divide the number of pencils by the cost you'll get the cost of each pencil, and it's $0.18
Answer:
X = 0.75
Step-by-step explanation:
0.25[2.5x + 1.5(X-4)]= -X
0.25[2.5x + 1.5x - 6] = -x
0.25[4x -6] = -x
1x + x = 1.5
2x = 1.5
x = 1.5/2
x = 0.75
So, the area of a rectangle is <span>LxW. </span>For this rectangle, <span>LxW=320. </span>We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get<span>(W+4)W=320. </span>Simplify to get <span>W^2+4w=320. </span>Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324. </span>Factor the left side of the equation and get<span>(W+2)^2=324. </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.
Answer:
A=101 idk what b is maybe 5%
Step-by-step explanation:
