Answer: f(x) = 2x - 3
===================================================
We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
Answer: 67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
Answer:
17.80"
Step-by-step explanation:
Weekly Rainfall total for September :
Week 1, 3.49″
Week 2, 1.73″
Week 3, 12.38″
Week 4, 0.21″
Rounding each week's total to the nearest tenth of an INCH before summing up:
WEEK 1 ; 3.50''
WEEK 2 ; 1.70"
WEEK 3 ; 12.40"
WEEK 4 ; 0.20"
TOTAL RAINFALL FOR SEPTEMBER :
(WEEK 1 + WEEK 2 + WEEK 3 + WEEK 4)
(3.50 + 1.70 + 12.40 + 0.20)
= 17.80"
Answer:
Data set A
Step-by-step explanation:
Data set A is the one that is more spread out.
The mean is the same as the average of a given sample. It is usually a measure of the central tendency of a data set.
Standard deviation is a measure of the spread of a given set of data.
- The lower the value of the standard deviation, the more clustered around the mean a data is.
- Data is spread out if it has a higher value of standard deviation.
Since data set A has a standard deviation of 35, it the most spread out.
