Answer:
-8/3
Step-by-step explanation:
The line intersects the point (1, 4). It also intersects the point (4,-4). Slope is rise over run. Between these two points, the rise is -8 (it decreases by 8) and the run is 3 (the x goes up from 1 to 4). Rise=-8 over Run=3 so -8/3. Hope this helps!
Answer:
29/100
Step-by-step explanation:
percent actually means per-hundred (cent is a.o. French for hundred).
2(3.75) + 2(1.85) = 11.2
11.2 * . 2 = 1.12
11.2 + 1.12 = 12.34
hope this helps!
Answer:
![y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28x%20-%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20-%20%5Cdfrac%7B65%7D%7B16%7D%20)
Step-by-step explanation:
![y = 4x^2 - 9x + 1](https://tex.z-dn.net/?f=%20y%20%3D%204x%5E2%20-%209x%20%2B%201%20)
You need to complete the square on the right side.
![y = (4x^2 - 9x) + 1](https://tex.z-dn.net/?f=%20y%20%3D%20%284x%5E2%20-%209x%29%20%2B%201%20)
![y = 4(x^2 - \dfrac{9}{4}x) + 1](https://tex.z-dn.net/?f=%20y%20%3D%204%28x%5E2%20-%20%5Cdfrac%7B9%7D%7B4%7Dx%29%20%2B%201%20)
![y = 4 \left( x^2 - \dfrac{9}{4}x + \left( \dfrac{9}{8} \right)^2 \right) + 1 - 4\left( \dfrac{9}{8} \right)^2](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28%20x%5E2%20-%20%5Cdfrac%7B9%7D%7B4%7Dx%20%2B%20%5Cleft%28%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20%5Cright%29%20%2B%201%20-%204%5Cleft%28%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20)
![y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28x%20-%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20%2B%201%20-%204%20%5Cleft%28%20%5Cdfrac%7B81%7D%7B64%7D%20%5Cright%29%20)
![y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - \dfrac{81}{16}](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28x%20-%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20%2B%201%20-%20%5Cdfrac%7B81%7D%7B16%7D%20)
![y = 4 \left(x - \dfrac{9}{8} \right)^2 + \dfrac{16}{16} - \dfrac{81}{16}](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28x%20-%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20%2B%20%5Cdfrac%7B16%7D%7B16%7D%20-%20%5Cdfrac%7B81%7D%7B16%7D%20)
![y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}](https://tex.z-dn.net/?f=%20y%20%3D%204%20%5Cleft%28x%20-%20%5Cdfrac%7B9%7D%7B8%7D%20%5Cright%29%5E2%20-%20%5Cdfrac%7B65%7D%7B16%7D%20)
Answer:
x = 3.6
B. {7.88}
Step-by-step explanation:
![\frac{6}{x}= \frac{10}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx%7D%3D%20%5Cfrac%7B10%7D%7B6%7D)
x · 10 = 6 · 6
10x = 36
10x ÷ 10 = 36 ÷ 10
x = 3.6
![\frac{9}{8} =\frac{x}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B8%7D%20%3D%5Cfrac%7Bx%7D%7B7%7D)
8 · x = 9 · 7
8x = 63
8x ÷ 8 = 63 ÷ 8
or x = 7.875
7.875 rounded to the nearest tenth is 7.88.