Answer:
- 4 and 3
Step-by-step explanation:
Given
f(n) = 7n - 11
To evaluate f(1) and f(2) substitute n = 1 and n = 2 into f(n), that is
f(1) = 7(1) - 11 = 7 - 11 = - 4
f(2) = 7(2) - 11 = 14 - 11 = 3
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.
Answer:
the system of equations has infinite solution
Step-by-step explanation:
Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3x+y=−1 )
Solution:
The equation of a straight line graph is given by:
y = mx + b, where m is the slope of the line and b is the y intercept.
A system of linear equations has no solution when the graphs are parallel, that is they have the same slope and different y intercept.
A system of linear equations has infinite solutions when the graphs are the exact same line, that is they have the equal slope and equal y intercept.
The first equation: y = -3x - 1 has a slope of -3 and y intercept of -1.
The second equation: 3x + y = - 1; i.e. y = -3x - 1 has a slope of -3 and y intercept of -1.
Since both equations have equal slope and equal y intercept, hence both equations are infinite solutions.
Therefore the statement that the system of equations has no solution is wrong.
800 because the thing is 800
when you multiply a number by a value that's greater than 1, that number increases, for example 2 and then we multiply it like 2 * 3, clearly 2*3 is greater than 2.
now when you multiply a number by a value that's lesser than 1, that number decreases, for example 2 and then we multiply it by something like 1/4, so 2 * 1/4 = 1/2, well, clearly 1/2 is smaller than 2, so 1/2 is a decreased value of 2.
23)
we have here 4/7, and then a product, well, the product is 4/7 and 9/10, however 9/10 is less than 1, recall 1 = 10/10, 9/10 is just a tiny bit less than 1.
because we're multiplying 4/7 by some amount less than 1, the product is a smaller value than 4/7, thus
25)
we have here 5/6 and we multiply it by 7/7, wait a minute!!! 7/7 = 1, we're really just multiplying 5/6 by 1 then, what does that give us? well, 5/6 * 1 = 5/6, just the number itself,