Answer:
Slope of Function B = - Slope of Function A
Step-by-step explanation:
Function A
f(x) = - 2x + 1
This is in the form y = mx+b where m is the slope
The slope is -2
Function B
We have 2 points so we can calculate the slope
(0,-3) and (2,1)
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
2
Slope of A = -2 Slope B =2
The are opposites
Answer:
Percent chance of winning = A / (A +B) = 1 / (1 +6) * 100 = 14.29 %
Step-by-step explanation:
Answer: x^2 -10x + 24
Step-by-step explanation:
(x-6) (x-4)
= x^2 - 6x - 4x + 24
= x^2 -10x + 24
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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<u>Picture 1:</u>
To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.
The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.
Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!
<u>Picture 2:</u>
Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.
<u>Picture 3:</u>
If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.