G(-2) means "evaluate the equation at -2"; it's asking you to swap out the "x" in the equation and sub in -2.
g(x) = x² + 3x - 2 ... plug in -2
g(-2) = (-2)² + 3(-2) - 2 ... simplify
g(-2) = 4 + (-6) - 2 ... add/subtract
g(-2) = -4
Answer:
40% discount
Step-by-step explanation:
Take the original price and subtract the new price
20-12
The discount is 8
Divide the discount by the original price
8/20 =.4
Multiply by 100 to get the percent
.4 * 100 = 40%
There is a 40 percent discount
Answer:
11 half years
Step-by-step explanation:
The formula for compound interest is
A = P(1+r/n)^(nt), with r representing the interest rate, n being the number of times interest is applied over the time period, and t being the amount of time periods.
If we make the time period a half year (so interest is compounded once per time period), n=2. Then, our interest rate is 7%, or 0.07 (to convert from percent to decimal, simply divide by 100). Our starting amount is 500, and we want it to double, making it 1000. Our formula is thus
1000 = 500 (1+0.07)^(t)
divide both sides by 500
2 = (1+0.07)^(t)
2 = (1.07)^(t)
Using logarithms, we can say that
and using a calculator, we get
10.24 = t
Since interest is only compounded once per time period, though, we have to round up to make sure it doubles, so t = 11
Define x:
Let the sum be x
Construct the equation:
<span>The sum of 3 times a number and 5 is 2 times the number plus 15.
</span>→ 3x + 5 = 2x + 15
Solve x:
3x + 5 = 2x + 15 | Equation
x + 5 = 15 | Take away 2x from both sides
x = 10 | Take away 5 from both sides
Answer: The number is 10.
M = ounces of M&M
r = ounces of raisins
calories = 139m + 85r
calories < 600
139m+85r<600