Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 = 6 parts
divide the amount by 6 to find the value of one part of the ratio
£102 ÷ 6 = £17 ← value of 1 part of the ratio , then
2 parts = 2 × £17 = £34
3 parts = 3 × £17 = £51
Gavyn gets £17
Pip gets £34
Mark gets £51
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Formula for area:
Area = Wide x Length
Wide: x + 5
Long: 3x - 2
Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet
Answer:
6, -4
Step-by-step explanation:
abs(-1+x)=5
-1+x=5 and -1+x=-5
-------------------------
-1+x=5
x=5-(-1)=5+1=6
-------------------
-1+x=-5
x=-5-(-1)=-5+1=-4
Answer:
2c - 18x + 74/5
Step-by-step explanation:
<u>Step 1: Distribute
</u>
2(c + 7) - 18x + 4/5
(2 * c) + (2 * 7) - 18x + 4/5
<em>2c + 14 - 18x + 4/5
</em>
<u>Step 2: Combine like terms
</u>
2c + 14 - 18x + 4/5
<em>2c - 18x + 74/5
</em>
Answer: 2c - 18x + 74/5
