Answer:
x = 6 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + x - 42 = 0
The left hand side factors into a product with two terms:
(x - 6) (x + 7) = 0
Split into two equations:
x - 6 = 0 or x + 7 = 0
Add 6 to both sides:
x = 6 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 6 or x = -7
Answer:
x < -4.5
Step-by-step explanation:
<u>Step 1: Solve for x</u>
-10x / -10 > 45 / -10
When dividing or multiplying by a negative, the sign flips.
x < -4.5
Answer: x < -4.5
Answer:
A. 
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004, 
Newspapers circulated in year 2014, 
Let the time
start at the year 2004. So, 
For the year 2014, 
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

Therefore, the equation describing the relationship is: 
Part B:
For the year 2018, 
Plug in 14 for
in the above equation and solve for
. This gives,

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.
Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:

where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

Then the distance covered in the second part is
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:

And therefore, the speed in the second part must be

Rational numbers.
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