X² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0
the zeros will be at x = -7 and x =4
∴ the solution of inequality
x ∈ (-7,4)
See the attached figure
The number is 4. 15-6=8 divide that by 2 and you are left with 4
Answer:
See Explanation
Step-by-step explanation:
Given
New function: 
We can assume the parent function to be:

The new function can be represented as:

Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
to 



Solve for B

Using the calculated values of
This implies that, the following transformations occur on the parent function:
- <em>Vertically stretched by </em>
<em /> - <em>Horizontally compressed by </em>
<em /> - <em>Right shifted by </em>
<em />
Answer:
2,100 miles
Step-by-step explanation:
<u>Step 1-</u> Find the miles the car can travel per gallon
630 miles/ 15 gallons=42 miles per gallon
<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used
42x50=2,100 miles