1) Unit Rate = 26:1
We already know that for every 3 gallons, you can travel 78 miles. Divide 78 by 3 to get 26. The 26 stands for how many miles you can travel on one gallon.
2) Unit Rate = $7.50:1
Since we already know that for every 7 hours, you earn $52.50, divide 52.50 by 7 to get 7.50. The 7.50 represents how much money you earn in 1 hour.
3) Unit Rate = 52:1
Since you can travel 416 miles in 8 hours, divide 416 by 8 to get 52. The 52 represents how many mile you can travel in 1 hour alone.
Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)
Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
Now, we use the second and the third point (2,4) (3,9)
This difference in values of the slope is enough to state the function is non-linear
Answer: True
Answer:
<u>The correct answer is A. x = 6 + 3 √10</u>
Step-by-step explanation:
Let's solve for x:
x² - 12x + 36 = 90
Factoring this quadratic equation, we have:
(x - 6) (x - 6) = 90
(x - 6)² = 90
x - 6 = √90 (Square root to both sides of the equation)
x = 6 + √90 (Adding 6 to both sides of the equation)
x = 6 + √9 * 10
x = 6 + √3² * 10
x = 6 + 3 √10
<u>The correct answer is A. x = 6 + 3 √10</u>
Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
7:35 would be the ratio hope this helps! :))
