Answer:
<u>Using below system of inequalities</u>
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
Answer:
A
Step-by-step explanation:
Using the recursive formula with a₁ = 5 , then
a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3
a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1
a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A
Answer:
5 gallons per week
Step-by-step explanation:
He uses 1.25 gallons per 5 hrs
How many times does he use a full tank in a week?
20/5 =<u> 4 times</u>
To find the total amount of fuel used take 1.25 times 4
1.25 * 4 = 5 gallons
Answer:
The relation for the distance cover by Tina and Lia is 20 = 4 × m
Option B
Step-by-step explanation
Given as :
The distance cover by Tina = 
= 20 miles
The distance cover by Lia = 
= m miles
According to question
Tina walked 4 times as far as Lia
So, The distance cover by Tina = 4 × The distance cover by Lia
Or, = 4 ×
I.e 20 miles = 4 × m miles
or. 20 = 4 × m
So, relation is 20 = 4 × m
Hence, The relation for the distance cover by Tina and Lia is 20 = 4 × m
I.e option B Answer
Answer:
Step-by-step explanation:
4x + 7 + 2x + 5 = 180
6x + 12 = 180
6x = 168
x = 28
4(28) + 7= 112 + 7= 119
2(28) + 5 = 56 + 5= 61
