In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.
Next, since we want x to be smaller, draw an arrow pointing towards all numbers that are smaller. This arrow would point to the left.
Answer:
Step-by-step explanation:
The first step in solving the equation is to cube both sides:
(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64
x = -64 . . . . . simplified
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We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.
∛(-64) = -4 . . . true
Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.
So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.
Answer:
It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.
Step-by-step explanation:
If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula
d = r*t
Where d is the distance traveled in miles
r is the rate of speed in miles/ hour, and
t is the time in hours
d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have
175 miles = (50 miles/hour) * t Divide both sides by 50 miles/hour
Our miles unit will cancel out, leaving us with
3.5 hours = t
Answer: x=16
Step-by-step explanation:
For this problem, we can set a proportion to find the side length of the smaller rectangle.
[cross multiply]
[divide both sides by 15]
x=16
Answer:
14.125
Step-by-step explanation:
You combine the two equations and get
8x - 23
and since they're in a 90 degree angle you do
8x - 23 = 90
add 23 to both sides
8x =113
divide 113 by 8 and you get 14.125 and if you plug it in for both x's you get 24.625 + 65.375 you get an even 90
