Write the slope-intercept form for linear equations. Substititute the y-intercept into the slope-intercept equation. Substitute both the x-intercept point and the y-intercept into the equation to solve for slope. Rewrite by substituting the values of and into the y-intercept form.
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m =
=
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
We have to calculate how many cubic yards of dirt must be removed. First we have to convert feet to yards:
1 yard = 3 ft
L = 94 ft : 3 = 31.33 yd
W = 36 ft : 3 = 12 yd
H = 24 ft : 3 = 8 yd
Volume:
V = L x W x H = 31.33 * 12 * 8 = 3,008 yd³
Answer : 3,008 yd³.
X intercepts are = 0 and 20
Maximum value = (10,15)
These can simply be read off of the graph.
The intervals of increasing from x = 0-10 and that shows the ball going up. Decreasing from 10-20 and that is the exact opposite.
The rate of change is often referred to as slope. The slope for the section described in part B is -1. It can be used by following the slope formula below:
y2 - y1/x2 - x1
Answer:
Part A: $27.32
Part B: $32.24
Step-by-step explanation:
Part A:
$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.
Part B:
We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.