Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
====
You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
Lets just use

for an example. If the number is increased by 60% and the denominator is decreased by 20% we get the new fraction being:

. Since then new one is equal to 1, and the original is equal to

, we see that this manipulation of the fraction causes an increase of 100%.
Answer:
Equation of line through (
) having undefined slope is given by
where α =90°
Now ,it is given that line passes through (97, 93)
So , equation of line is
→
= tan 90°
As, tan 90°=1/0

→ (x-97)×1= (y-73)×0
→ x-97 =0
→ x=97 , which is the required equation of line.
Answer: 0.0668073
Step-by-step explanation:
Given : The number of miles each tire lasts before it completely wares out follows a normal distribution with mean μ = 50,000 miles and standard deviation σ = 8,000 miles.
Let x be the random variable that represents the number of miles each tire lasts.
z-score : 
For x= 62,000

By using the standard z-value table , the probability for a randomly selected tire to last for at least 62,000 miles will be :_

Hence, the probability for a randomly selected tire to last for at least 62,000 miles = 0.0668073
Answer:
see explanation
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 ) = (0, 5) and (x₂, y₂ ) = (4, 8)
m =
= 
Note the line crosses the y- axis at (0, 5) ⇒ c = 5
y =
x + 5 ← equation in slope- intercept form