Answer:
Select one of the two bottom statements which both read "To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation ."
Step-by-step explanation:
The y-intercept of a function is the point where the graph intersects the y-axis. Since the y-axis is the vertical line through the origin, we can start at the origin (0,0) and move up or down to where the line crosses the axis. This (0,y) point is the y-intercept. It is always (0,y) because it is located on the y-axis where x=0.
The slope of a function of a function is the rise/run or rate of change of the function. It can be seen on the graph of a line between any two coordinate pairs of the line. We know it as the variable m in linear function equations. To find it using an equation, we chose the point-slope form y
. We substitute two coordinate pairs from the line for 
to find the missing value m or slope of the line.
Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
The sequence is ×2.
12,288 is the 12th term.
24,570 is the answer. It is the sum.
Answer:
5.70%
Step-by-step explanation:
Correct word <em>"We turned a $25,000 investment of money in 1982 into $100,000 in 2007." What return (interest rate) did they really earn on their investment?</em>
No of years(1982 to 2007) = 25 years
The average annual return is R%, so $25,000 * (1 + R)^25 = $100,000
(1 + R)^25 = $100,000 / $25,000
(1 + R)^25 = 4
<em>We take 25th root on each side</em>
(1 + R)^(25*1/25) = 
1 + R = 1.0570
R = 1.0570 - 1
R = 0.057
R = 5.70%
So, the return (interest rate) they really earn on their investment is 5.70%.
Angle GQK=90
GQK=GQL+LQK
90=3n+(4n-15)
n=15
Therefore angle LQK=4(15)-15
=45
