Given function G(x)=-7/8(45-x), find x to nearest tenth, when G(x)=15
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I'm stuck on this question,i tries on my own but i couldn't get it right, plz help!
15=-7/8(45-x)
-8/7(15)=45-x
(-17.1428..)=45-x -> stuck at this step.
Thank You!
15 = -7/8(45 -x)
120 = -315 + 7x
435 = 7x
x = 62 1/7
I don't get the step!
In your one troy,
-17.1428.. = 45 - x
then by subracting 45 from both sides you get
-17.1428.. - 45 = - x
-62.1428.. = - x
Multiply both sides by -1
Then x = 62.1428 which is what kudum had (62 and 1/7)
To solve the equation -7/8(45-x) = 15, let's go step by step:
1. Start with the equation: -7/8(45-x) = 15.
2. Distribute -7/8 to both terms inside the parentheses: (-7/8)*(45) + (-7/8)*(-x) = 15.
3. Simplify both terms: (-315/8) + (7/8)*x = 15.
4. To isolate x, let's move the constant term (-315/8) to the other side of the equation by adding it: (-315/8) + (315/8) + (7/8)*x = 15 + (315/8).
5. Simplify both sides of the equation: (7/8)*x = (120 + 315/8).
6. Add (120 + 315/8) to get a single fraction on the right side: (120*8 + 315)/8 = 120*8/8 + 315/8 = (120*8 + 315)/8 = 1035/8.
7. Now we have (7/8)*x = 1035/8. Let's isolate x by multiplying both sides of the equation by the reciprocal of (7/8), which is (8/7): (8/7)*(7/8)*x = (8/7)*(1035/8).
8. Simplify both sides of the equation: x = (8/7)*(1035/8).
9. The fraction (8/8) cancels out, so we are left with: x = 1035/7.
10. Finally, to find x to the nearest tenth, divide 1035 by 7 and round the result to one decimal place: x ≈ 147.9.
Therefore, the value of x to the nearest tenth when G(x) = 15 is approximately 147.9.