4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel. And 8 x 3 = 24.
So, Kevin is 24.
Either 75 or 105 would be my answer
You will be using proportions to solve this.
The first proportion will be 8/2.4 = 15/x
Here the ratio given will be in the numerator and the meters of the actual wires will be in the denominator. This proportion will help you find the longest wire's length.
To continue, do cross multiplication: 8x=36
Then divide by 8: x= 4.5, OR the longest wire has a length of 4.5m.
To find the middle-length wire, the proportion will almost be the same but now the 15 will be replaced by 10.
8/2.4 = 10/x Then the same steps
8x= 24
x= 3, OR the middle-length wire has a length of 3m.
In conclusion, the corresponding ratio to 10:15:8 would be 3:4.5:2.4
Answer:
(f - g)(x) = 3x² - 2x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra</u>
- Combining like terms
- Standard Form: ax² + bx + c = 0
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 2
g(x) = 2x + 4
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find</u>
- Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
- Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
- Combine like terms: (f - g)(x) = 3x² - 2x - 6
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