Answer:
Lawns ---Earnings
1 ----------------- 10
2 ----------------- 20
3 ----------------- 30
5 ----------------- 50
Step-by-step explanation:
Given
Earnings = $10 per lawn
Required
Complete the table
Let y be the earnings for x number of lawns
Since he earns $10 per x lawns, then the expression is:
To complete the table, we have the following:
When x = 1
When x = 2
When x = 3
When x = 5
So, the complete table is:
Lawns ---Earnings
1 ----------------- 10
2 ----------------- 20
3 ----------------- 30
5 ----------------- 50
Answer:
-a^2
A
Step-by-step explanation:
-a/b=a/-b=-a/b to fraction
-1/a^-2
Answer:
(x = -6), (y = -6)
(-6,-6)
Step-by-step explanation:
X=-6
3x - 2y = -6
3(-6) - 2y = -6
-18 - 2y = -6
What you do to one side, you do to the other. And when you take it over to the other side, you'll have to turn -18 into a positive 18.
-2y = 18 - 6
-2y = 12
Divide both sides by -2
y = -6
Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
