Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Answer:
The scooter travels 15 feet in 1 second
The scooter travels 45 feet in 3 seconds
The scooter travels 60 feet in 4 seconds
The scooter travels 75 feet in 5 seconds
Step-by-step explanation:
First, let's find the number of feet the scooter travels in 1 second
(30 : 2) ÷ 2 = 15 : 1
Now that we have the unit rate, we can easily find the answers to the other questions.
(15 : 1) x 3 = 45 : 3
(15 : 1) x 4 = 60 : 4
(15 : 1) x 5 = 75 : 5
I Hope That This Helps! :)
<u>Answer</u>
D
<u>Explanation</u>
9⁽¹/²⁾² = (9⁽¹/²⁾)²
= 9¹/² × 9¹/² (Since the base are the same, we can add the power.)
= 9⁽¹/² ⁺¹/²⁾
= 9 ¹
= 9
The correct simplification is D.
