Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
Answer:
20 servings of 100-milliliter sports drink
Step-by-step explanation:
The sum of the numbers should total to 1. Let us say that
x is the missing number, therefore:
x + ¼ + ¼ + 1/5 = 1
x = 1 – ¼ - ¼ - 1/5
The numbers should have similar denominator:
x = 20/20 – 5/20 – 5/20 – 4/20
x = 6/20
<span>x = 3/10</span>
If t=5 then all you do is plug that into the function:
h(t)=175(1028)5
You would start by multiplying 1028 by 5 which leaves you with 5140, now plug that into the function.
h(t)=175(5140)
multiply 175 and 5140
h(t)=899500