Reggie 57.12 seconds
Alvin’s time: 57.12 + 2.45 = 59.57 seconds
Jose time: 57.12 - 3.81 = 53.31 seconds
Total team time: 170 seconds
Answer:f=−
7
x
2
+1−2g−x
Step-by-step explanation:
1 Subtract {x}^{2}x
2
from both sides.
2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x
2
+1−g−x−x
2
=−7f+g
2 Simplify 2{x}^{2}+1-g-x-{x}^{2}2x
2
+1−g−x−x
2
to {x}^{2}+1-g-xx
2
+1−g−x.
{x}^{2}+1-g-x=-7f+gx
2
+1−g−x=−7f+g
3 Subtract gg from both sides.
{x}^{2}+1-g-x-g=-7fx
2
+1−g−x−g=−7f
4 Simplify {x}^{2}+1-g-x-gx
2
+1−g−x−g to {x}^{2}+1-2g-xx
2
+1−2g−x.
{x}^{2}+1-2g-x=-7fx
2
+1−2g−x=−7f
5 Divide both sides by -7−7.
-\frac{{x}^{2}+1-2g-x}{7}=f−
7
x
2
+1−2g−x
=f
6 Switch sides.
f=-\frac{{x}^{2}+1-2g-x}{7}f=−
7
x
2
+1−2g−x
Answer:
- <em>The value of the constant is </em><u>0.8</u>
Explanation:
<em>The graph</em> has the following properties:
- Horizontal-axis (independent variable): width
- Vertical-axis (dependent variable): height
- Points on the curve:
(0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)
<em>The equation</em> represented by the graph is an inverse variation:
- Height = constant / width.
From that equation, you can solve for the contstant:
- constant = height × width
Now, you can take any ordered pair to find the constant:
- (0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8
- (0.8, 1) ⇒constant = 0.8 × 1 = 0.8
- (1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8
- (2, 0.04) ⇒ constant = 2 × 0.4 = 0.8
Thus, you have obtained that the constant is 0.8.
Answer:
-4
Step-by-step explanation:
Indeed, the y-value changes by 4 when the x-value changes by 1. However, the y-values <em>decrease</em> when the x-values increase. That means the slope is <em>negative</em> 4.
___
Any line that goes down to the right has a negative slope. Its slope is positive if it goes up to the right.
Lets make an equation for the line first. The slope is 3 and the y intercept is -1, so we can make the equation y = 3x - 1. Then, to figure out what sign to use (<= or >= due to solid line in graph), we replace the = sign with one and see if a coordinate in the shaded area will furfill the inequality. If it doesn't, we know it needs the other inequality sign. If it does, we have found the correct inequality. So let's try y <= 3x - 1 with the coordinate (1,1). We try it, solve, and get 1 <= 2. So, the inequality for this graph is y <= 3x - 1.