9514 1404 393
Answer:
1. b. The common difference is 0.39
2. no good answer (Zach's method is exponential; Victoria's is linear)
Step-by-step explanation:
1. The differences in mileage are ...
24.39 -24 = 0.39
24.78 -24.39 = 0.39
25.17 -24.78 = 0.39
The common difference is 0.39.
____
2. Zach's monthly times are ...
10, 20, 40, 80
The differences are ...
10, 20, 40
The ratios are ...
20/10 = 40/20 = 80/40 = 2
Zach's times have a common ratio, so are exponential.
__
Victoria's monthly times are ...
35, 50, 65, 80
The differences are ...
15, 15, 15
Victoria's times have a common difference, so are linear.
__
The choices are ...
a. both exponential; common factor . . . . correct for Zach; not for Victoria
b. Zach's is linear (has equal factor) . . . incorrect
c. both exponential; common difference . . . incorrect
d. Victoria's is linear . . . . correct for Victoria
Choice D describes Victoria's method. Choice A is correct regarding Zach's method, but incorrect regarding Victoria's.
Choices B and C are not self-consistent, so are incorrect on their face.
There is no good choice.
expression represents the area of Dylan’s room
<h3><u>
Solution:</u></h3>
Given that,
Length of room = ![x^2 -2x+8](https://tex.z-dn.net/?f=x%5E2%20-2x%2B8)
Width of room = ![2x^2 + 5x - 7](https://tex.z-dn.net/?f=2x%5E2%20%2B%205x%20-%207)
To find: Expression that the area (lw) of Dylan’s room
Since bedroom is generally of rectangular shape, we can use area of rectangle
<em><u>The area of rectangle is given as:</u></em>
![\text {area of rectangle }=\text { length } \times \text { width }](https://tex.z-dn.net/?f=%5Ctext%20%7Barea%20of%20rectangle%20%7D%3D%5Ctext%20%7B%20length%20%7D%20%5Ctimes%20%5Ctext%20%7B%20width%20%7D)
Substituting the given expressions of length and width,
![area = (x^2 -2x+8)(2x^2 + 5x - 7)](https://tex.z-dn.net/?f=area%20%3D%20%28x%5E2%20-2x%2B8%29%282x%5E2%20%2B%205x%20-%207%29)
We multiply each term inside first parenthesis with each term inside the second parenthesis.
So it becomes,
![2x^4 + 5x^3 - 7x^2 -4x^3 -10x^2 +14x +16x^2 +40x - 56](https://tex.z-dn.net/?f=2x%5E4%20%2B%205x%5E3%20-%207x%5E2%20-4x%5E3%20-10x%5E2%20%2B14x%20%2B16x%5E2%20%2B40x%20-%2056)
Now combine like terms,
![2x^4 + x^3 - x^2 +54x - 56](https://tex.z-dn.net/?f=2x%5E4%20%2B%20x%5E3%20-%20x%5E2%20%2B54x%20-%2056)
Thus the above expression represents the area of Dylan’s room
Answer:33 and 3/8ths is the answer
Step-by-step explanation:
A piece of crown molding is 64 1/4 inches long
you cut 30 7/8 inches off
is cut off. So we subtract from the length of crown
Make the denominators same . LCD is 8
Answer:
1/27
Step-by-step explanation:
pb.chips.juice
pb.chips.milk
pb.chips.water
pb.cookies.juice
pb.cookies.milk
pb.cookies.water
pb.fruit.juice.
pb.fruit.milk
pb.fruit.watet
time that by three (as every section has three )
or
1/3 of cheese
1/3 of cookies times 1/3 x 1/3 x 1/3 = 1/27
1/3 of water
Step-by-step explanation:
The equation of this circle is:
(x-3)^2 +(y+5)^2 = 16
The equatiin of a circle in general is:
(x-a)^2 +(y-b)^2 = r^2
a and b are the coordinates of the center and r is the radius
● in the given equation: (x-3)^2 + (y+5)^2 = 16
-3 and 5 are the coordinates if the center so start by ploting the center in the point (-3,5)
16 is the radius multiplied by itself
16 is 4×4 so the radius is 4
Take a four unit radius from the center and strat drawing your circle using a compass