<u><em>Answer:</em></u>
{x | x = 0.5 or x = 4.5}
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
The modulus gives the positive value of what's inside it.
<u>This means that:</u>
|a| = |-a| = a
<u>Now, for the given, we have:</u>
|2x-5| = 4
<u>From the above rule, we can deduce that:</u>
<u>either:</u>
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
<u>Or:</u>
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
<u>Now, we check:</u>
<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
Answer:
f(x) = x³/3 - 5/3
Step-by-step explanation:
To get the equation of the curve, integrate the slope
f(x) = integral of x²
= (x^(2+1))/3 + c
f(x) = x³/3 + c
To find c, use the given point
1 = 2³/3 + c
c = 1 - 8/3 = -5/3
f(x) = x³/3 - 5/3
20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140
140 is the smallest number they have in common.
Answer:
3 + x
the difference of x and 8
Step-by-step explanation:
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