You might have made an error the first time you solved for x. I got x = -0.5.
When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:
2x + 3 = 4^(1/2) ... Simplify
2x + 3 = 2
2x = -1
x = -1/2
If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?
The increase in price is 140% of the original price.
The original price was 100% of the original price since 100% is a whole quantity.
Now the new price is 140% more than it was, so the new price is
100% + 140% of the old price.
100% + 140% = 240%
Now we find 240% of $50.
To find a percent of a number, multiply the percent by the number.
240% of $50 =
= 240% * $50
= 2.4 * $50
= $120
Answer: 10 ft of gold wire now costs $120
Gold wire now costs $12 per foot.
The mean can be found by adding the two numbers and dividing by 2
let the second number be y
(x + y)/2 = 1/2x + 1
solve for y
multiply each side by 2
x + y = 2(1/2x + 1)
distribute
x + y = x + 2
subtract x on both sides
y = 2
ANSWER: the second number is 2
Answer:
Step-by-step explanation:
y = -2x+5
slope of line is -2.
slope of parallel to line is also -2
point-slope equation for line of slope -2 that passes through (-5,3):
y-3 = -2(x+5)
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
