<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
Answer:
B. 11%
Step-by-step explanation:
Using the formula
Real rate of return = nominal rate - inflation rate
Note that the nominal rate of a business is the return on investment in a particular year.
Therefore if Josephine earned a 15% return on her investments last year, her nominal rate is also 15%
Since the inflation rate is 4%
Rate of return = 15%-4%
Rate of return = 11%
Answer:
revolutions per minute for 16 inches is 946 / minute
revolutions per minute for 14 inches is 1081 / minute
Step-by-step explanation:
Given data
radius = 16 inch
speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute
radius 2 = 14 inches
to find out
revolutions per minute
solution
first we calculate the circumference of the wheel i.e. 2××radius
circumference = 2××16
circumference = 32
we know that revolution is speed / circumference
revolution = 95040/32
revolution = 945.38 / minute
we have given radius 14 inches than revolution will be i.e.
revolution = speed / circumference
circumference = 2××14
circumference = 28
revolution = 95040/ 28
revolution = 1080.43 / minute
Answer:
4x-13
Step-by-step explanation:
Let the number is x.
We know that triple of a number is 3 times that number i.e. 3x
The difference between triple the number and thirteen 3x-13
Now, we need to add a number to the difference between triple the number and thirteen. So, the expression can be written as :
x+3x-13 = 4x-13
Hence, the expression is (4x-13).
Answer: 96 miles
Step-by-step explanation: 120 divide by 55= 2.18. So you multiply 44 by 2.18