Answer: $11.80 for another 4 panes of glass.
Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.
So, we can divide 26.55 by 9 to find the price per 1 pan of glass.
26.55/9 = 2.95, or $2.95 per pane of glass.
Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.
2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.
Answer:
transformations of function 3(-7(x+2))-4
- vertical stretch
- horizontal compression
- translates left
- translates down
- reflection across y-axis
Answer:
Complementary: (2,3) & (1,9)
Supplementary: (6,7) & (5,8)
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
1. Factor the function ![f(x)=-2x^2+16x-30:](https://tex.z-dn.net/?f=f%28x%29%3D-2x%5E2%2B16x-30%3A)
![f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).](https://tex.z-dn.net/?f=f%28x%29%3D-2x%5E2%2B16x-30%3D-2x%5E2%2B6x%2B10x-30%3D-2x%28x-3%29%2B10%28x-3%29%3D-2%28x-3%29%28x-5%29.)
2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.
3. Find the vertex:
![x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7Bb%7D%7B2a%7D%3D-%5Cdfrac%7B16%7D%7B2%5Ccdot%20%28-2%29%7D%3D4%2C%5C%5C%20%5C%5Cy_v%3D-2%5Ccdot%204%5E2%2B16%5Ccdot%204-30%3D-32%2B64-30%3D2.)
Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.
Step-by-step explanation:
(0,5) and (-2,-3)
y=mx+b
find m
![\frac{y1 - y2}{x1 - x2} \\ = \frac{5 - ( - 3)}{0 - ( - 2)} \\ = \frac{8}{2} \\ = 4 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20%20%5C%5C%20%20%20%3D%20%5Cfrac%7B5%20-%20%20%28%20-%203%29%7D%7B0%20-%20%28%20-%202%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B8%7D%7B2%7D%20%20%5C%5C%20%20%3D%204%20%5C%5C%20)
m=4
Substitute (0,5) or (-2,-3)
For easy processing substitute : (0,5)
y=4x+b
5=b
y=4x+5 is the answer
Brainliest please~