Okay so basically the axis of symmetry is the h (technically where x is on the graph)nvalue so for the first one the answer is -4 for the second one because in vertex form the value of h (x-h) is in the parenthesis. For the second one you will have to turn the equation from standard to vertex. First step is to factor out the first two terms' coefficients. if you factor out two the equation turns into 2(x^2-8x) +15 The next step is you take 8 and divide it by 2 and then square it which equals 16. You add this term into the parenthesis so you can factor out like a quadratic. The equation turns into 2(x^2-8x+16) +15 to balance out the equation you have to subtract the term that you put in the parenthesis outside the parenthesis. Since 16 is the parenthesis you need to multiply it by 2, so your equation will turn into y=2(x^2-8x+16) -17 then factor out like a regular polynomial and get y=2(x-4)^2 -17 now that it's in vertex form you can see your answer is positive 4. For the third problem just look where the vertex is and see the x coordinate. The answer is 1.
The order is the g(x), the graph and the f(x)
Answer:
13%
15%
41%
31%
Step-by-step explanation:
To find the percentage one amount is out of another amount, divide the smaller amount by the bigger amount. You will end up with a decimal (0.xy where x is the 10% place and y is the 1% place).
For example: to find the percentage that 39 is out of 300 students, we divide 39 by 300. This gives us the decimal 0.13. Written as a percentage, that is 13%.
We can do this for all of them.
Here is the math for each one:
39 ÷ 300 = 0.13 → 13%
45 ÷ 300 = 0.15 → 15%
123 ÷ 300 = 0.41 → 41%
93 ÷ 300 = 0.31 → 31%
Once you have all these decimals, you might choose to check your work by adding them up. They should at up to 1.00, or 100%. In this case, they do, so we know these answers are correct.
I hope this helps. Please let me know if you have questions.
The multiples are 3, 6, and 9 3/10 so the answer is c 3/10
Answer:
opposite of 4 is -4
opposite of -11 is 11
opposite of 3 is -3
opposite of -3 is 3
opposite of 0 is 0
opposite of 22 is -22
Step-by-step explanation:
