The solution to the inequality expression is x ≥ 30
<h3>How to solve the
inequality expression?</h3>
The inequality expression is given as:
8x - 3(2x - 4) ≤ 3(x - 6)
Open the brackets in the above inequality expression
8x - 6x + 12 ≤ 3x - 18
Collect the like terms in the above inequality expression
8x - 6x - 3x ≤ -12 - 18
Evaluate the like terms in the above inequality expression
-x ≤ -30
Divide both sides of the above inequality expression by -1
x ≥ 30
Hence, the solution to the inequality expression is x ≥ 30
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Answer:ed44
Step-by-step explanation:
For the first one write 9 divided by 2 gives your your radius an it’s 3.5. the formula is 2 x 3.14 x radius and that gives you 21.98.
the 2nd one is 2 x 3.14 x 9 = 56.52
the 3rd is 2 x 3.14 x 5= 31.4
formula is always 2 x 3.14 (or pie) x radius
to get your radius from your diameter you do your diameter divided by 2
Answer:
300 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost for rent a car
we know that
The equation of the line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope or unit rate
b is the y-intercept or initial value
<u><em>Prestige car rentals</em></u>
we have that
The slope is equal to ![m=\$0.06\ per\ mile](https://tex.z-dn.net/?f=m%3D%5C%240.06%5C%20per%5C%20mile)
The y-intercept is ![b=\$44](https://tex.z-dn.net/?f=b%3D%5C%2444)
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to ![m=\$0.09\ per\ mile](https://tex.z-dn.net/?f=m%3D%5C%240.09%5C%20per%5C%20mile)
The y-intercept is ![b=\$35](https://tex.z-dn.net/?f=b%3D%5C%2435)
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B
![0.09x+35=0.06x+44](https://tex.z-dn.net/?f=0.09x%2B35%3D0.06x%2B44)
solve for x
![0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles](https://tex.z-dn.net/?f=0.09x-0.06x%3D44-35%5C%5C0.03x%3D9%5C%5Cx%3D300%5C%20miles)