Parent function: y = f(x) = x^2
given function: y = g(x) = 3 (x+1)^2
=> g(x) = 3 * f(x + 1)^2
So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.
Just simply divide
4/5= .8 or 80%
80% of species are insects
Step-by-step explanation:
- A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
- A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
- A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
ANSWER:
We have to find new side-lengths of PQR triangle.
Original sides are.
![\begin{gathered} PQ\text{ = 8cm} \\ QR=17\operatorname{cm} \\ RP=15\operatorname{cm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20PQ%5Ctext%7B%20%3D%208cm%7D%20%5C%5C%20QR%3D17%5Coperatorname%7Bcm%7D%20%5C%5C%20RP%3D15%5Coperatorname%7Bcm%7D%20%5Cend%7Bgathered%7D)
After multiplying by 2.5 we get
![\begin{gathered} PQ^{\prime}=2.5\times PQ=(8\times2.5)cm=20\operatorname{cm} \\ QR^{\prime}=(17\times2.5)cm=42.5\operatorname{cm} \\ RP^{\prime}=(15\times2.5)cm=37.5\operatorname{cm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20PQ%5E%7B%5Cprime%7D%3D2.5%5Ctimes%20PQ%3D%288%5Ctimes2.5%29cm%3D20%5Coperatorname%7Bcm%7D%20%5C%5C%20QR%5E%7B%5Cprime%7D%3D%2817%5Ctimes2.5%29cm%3D42.5%5Coperatorname%7Bcm%7D%20%5C%5C%20RP%5E%7B%5Cprime%7D%3D%2815%5Ctimes2.5%29cm%3D37.5%5Coperatorname%7Bcm%7D%20%5Cend%7Bgathered%7D)
These are the new sides of the P'Q'R' triangle.