Answer:
y = -(x + 1)² + 4
Step-by-step explanation:
y = -x² − 2x + 3
First, factor the leading coefficient from the first two terms.
y = -(x² + 2x) + 3
Complete the square.
y = -(x² + 2x + 1 − 1) + 3
Simplify and factor.
y = -(x² + 2x + 1) + 1 + 3
y = -(x + 1)² + 4
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
Answer: ![\bold{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=%5Cbold%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
<u>Step-by-step explanation:</u>
![64^{\frac{3}{5}}\\\\=2^{6(\frac{3}{5})}\\\\=2^{\frac{18}{5}}\\\\=2^{\frac{15}{5}}\cdot 2^{\frac{3}{5}}\\\\=2^3\cdot \sqrt[5]{2^3} \\\\=\boxed{8\sqrt[5]{8} }](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B6%28%5Cfrac%7B3%7D%7B5%7D%29%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B18%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E%7B%5Cfrac%7B15%7D%7B5%7D%7D%5Ccdot%202%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%3D2%5E3%5Ccdot%20%5Csqrt%5B5%5D%7B2%5E3%7D%20%5C%5C%5C%5C%3D%5Cboxed%7B8%5Csqrt%5B5%5D%7B8%7D%20%7D)
10,000(1+(0.047*5))=12350
Marcus-12350
10,000(1+(0.045*6))=12,700
Gianna-12,700
12,700-12,350=$350 difference
Answer:
1050 toothbrushes and 1000 floss.
Step-by-step explanation:
15x70=1050
20x50=1000
Hope it helps!
