Let's start by evaluating the parenthesis on the right. Because of the order of operations (PEMDAS - parenthesis, exponents, multiplication/division, addition/subtraction), we divide 3 by 1/8 first. This is equal to multiplying 3 * 8, or 24. Next, we subtract 5 from 24. This is equal to 19.
Next, we subtract 19 from 3/4. -18 1/4 We complete this problem by adding (1/2)^2, or 1/4. This is: -18 1/4 + 1/4 = -18, so -18 is the answer.
Answer:
m = 2t
Step-by-step explanation:
You would multiply the cost of each ticket by the unknown amount of tickets, which would equal the total money raised.
Answer:
n=4
Step-by-step explanation:
step 1: Simplify both sides of the equation.
4n−1=6n+8−8n+15
4n+−1=6n+8+−8n+15
4n−1=(6n+−8n)+(8+15)(Combine Like Terms)
4n−1=−2n+23
4n−1=−2n+23
Step 2: Add 2n to both sides.
4n−1+2n=−2n+23+2n
6n−1=23
Step 3: Add 1 to both sides.
6n−1+1=23+1
6n=24
Step 4: Divide both sides by 6.
6n/6=24/6
The equation of g(x) is
Explanation:
Given that the function f(x) is
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
Substituting the values,we have,
Simplifying the values, we get,
Hence, the equation of g(x) is
The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).