Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Step-by-step explanation:
Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:
= 22 ÷ 1/2 × 2.11
= 22 × 2 × 2.11
= $92.84
Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:
= 22 × 1.01 ÷ 200/1000
= 22 × 1.01 × 1000/200
= 22 × 1.01 × 5
= $111.1
Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Answer:
All real numbers are solution for the inequality.
Step-by-step explanation:
Given expression:

Solving the inequality.
Using the distribution.


Adding
to both sides.

We have,

The above statement is always true and thus the inequality has all real number solutions.
The number line graph for the inequality can be shown.
Answer:
Step-by-step explanation:
Where is the list
y= x^2 - 6x-7
Vertex = -b /2a
b= -6
a= 1
-(-6)/2(1)= 3
x= 3
Use the substitution method to find y
y= (3)^2-6(3)-7
(3)(3)-18-7
9-25
y= -16
Vertex is (3, 16)
Find x- intercept (y= 0)
y= x^2 - 6x-7
(x-7)(x+1)
x-7= 0
Move -7 to the other side. Sign changes from -7 to 7
x-7+7= 0+7
x= 7
x+1= 0
Move +1 to the other side. Sign changes from +1 to -1
x+1-1= 0-1
x= -1
Answer :B. Vertex: (3, -16); Intercepts: x=-1,7