1. y - y₁ = m(x - x₁)
y - (-7) = 6(x - (-8))
y + 7 = 6(x + 8)
y + 7 = 6(x) + 6(8)
y + 7 = 6x + 48
<u> - 7 - 7</u>
y = 6x + 41
2. <u>y₂ - y₁</u> = <u>-8 - (-3)</u> = <u>-8</u><u> + 3</u> = <u>-5</u> = -1²/₃
x₂ - x₁ -1 - (-4) -1 + 4 3
3. 2x - 3y = 11
<u>3x + 3y = 9</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
2x - 3y = 11
2(4) - 3y = 11
8 - 3y = 11
<u>- 8 - 8</u>
<u>-3y</u> = <u>3</u>
-3 -3
y = -1
(x, y) = (4, -1)
4. 2x - 5y = -7 ⇒ -6x + 15y = 21
5x - 3y = 11 ⇒ <u>-25x + 15y = -55</u>
<u>19x</u> = <u>76</u>
19 19
x = 4
2x - 5y = -7
2(4) - 5y = -7
8 - 5y = -7
<u>- 8 - 8</u>
<u>-5y</u> = <u>-15</u>
-5 -5
y = 3
(x, y) = (4, 3)
5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
<u>1.3 × 10³</u>, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, <u>8.9 × 10¹⁸</u>
Least Greatest
Answer:
54
Step-by-step explanation:
Number of time you can fill a cone with the grain is (container volume)/(individual cone volume)=8138.88/(0.33*3.14*16*9)=54
Answer:
I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Step-by-step explanation:
10
Answer:
7.6 pounds
Step-by-step explanation:
x = per pound
Equation:
0.65x = 4.94
x = 7.6
Answer:
a) ![\frac{d-5.50}{0.45}](https://tex.z-dn.net/?f=%5Cfrac%7Bd-5.50%7D%7B0.45%7D)
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45