slope intercept form:
y = mx + b
m = slope
b = y-intercept
the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.
y = mx + 4
the slope is technically the rate of change (rise over run) bewteen points.
If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1
y = 1x +4
this could also be:
y = x + 4
(because the 1 is invisible but still there)
1 + 3 = 4;
9 x 4 = 36;
60 - 36 = 24;
2 x 24 = 48;
14 + 48 = 62;
-6 + 62 = 56.
First one :
We divide it into two rectangles (the top one has dimensions 2in*4in)
The area of the top rectangle is 2*4=8 in^2
The second rectangle has dimensions 3*(5-3)=6 in^2
Hence the total area is 8+6=14 square inches
Second one :
We divide it into a rectangle (dimensions 11*17) and a triangle on the top.
The area of the rectangle is 11*17=187 m^2
The rectangle has dimensions 17 (base's length) and 23-11 (height) hence its area is 17*(23-11)/2=102 m^2
Hence the total area is 102+187=289 square meters
Answer:

Step-by-step explanation:
<u>Confidence Interval</u>
When the population standard deviation
is known, the formula for a confidence interval for a population mean
is:

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

Calculating the confidence interval


Or, equivalently

Answer:
The correct option is A.
Step-by-step explanation:
If a line passes through two points
and
, then the equation of line is

Let y be the profit (in millions) after x years.
From the given graph it is clear that the line passes through the point (1,-100).
The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).
The line passes through (1,-100) and (4,80). So, the equation of line is




Subtract 100 from both sides.


The function form is

Therefore, the correct option is A.