Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:

Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:

Hence, the point of y-intercept: (0,6).
Answer:
1.6 gallons (so if you can only buy by the gallon, 2 gallons)
Step-by-step explanation:
You divide the total area by how much a gallon covers to get the number of gallons needed.
40/25=1.6
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
- Switching the hypothesis and conclusion:
If it is an isosceles triangle - It is an equilateral triangle.
- Negating both the statements:
If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as

x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692




s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.