Answer:
The order of the values from greatest to least are as
![\frac{21}{4} > \frac{11}{4} > \frac{3}{4} > \frac{-11}{4} > \frac{-13}{4} > \frac{-21}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%20%3E%20%5Cfrac%7B11%7D%7B4%7D%20%3E%20%5Cfrac%7B3%7D%7B4%7D%20%3E%20%5Cfrac%7B-11%7D%7B4%7D%20%3E%20%5Cfrac%7B-13%7D%7B4%7D%20%3E%20%5Cfrac%7B-21%7D%7B4%7D)
Step-by-step explanation:
Negative number goes on decreasing in this way as -1,-2,-3,-4,-5... and so on.
So,-11 > -13 > -21
Here the denominator is same and the numerator is in decreasing order i.e greatest to the least that is 21 > 11 > 3 > -11 > -13 >-21 .Therefore, the order is
![\frac{21}{4} > \frac{11}{4} > \frac{3}{4} > \frac{-11}{4} > \frac{-13}{4} > \frac{-21}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%20%3E%20%5Cfrac%7B11%7D%7B4%7D%20%3E%20%5Cfrac%7B3%7D%7B4%7D%20%3E%20%5Cfrac%7B-11%7D%7B4%7D%20%3E%20%5Cfrac%7B-13%7D%7B4%7D%20%3E%20%5Cfrac%7B-21%7D%7B4%7D)
Isolate the variable on one side of the equation and everything else to the opposite side of the variable.
You can isolate the variable by undoing the operations done to the variable.
For example, if we added 5 to x (x + 5) then we would need to undo that operation. We would need to use the inverse of addition. Which is subtraction.
5x + 6 = 2(2x - 3)
5x + 6 = 4x - 6 <-- Distribute the 2
x + 6 = -6 <-- Subtract 4x from each side
x = -12 <-- Subtract 6 from each side
So, x is equal to -12.
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer: a. Number of visitors
b. average(
) amount spent per person by visitors to the park
c. Yes , we know the average amount spent per person byvisitors to the park. It is $28 per person.
Step-by-step explanation:
- A population is a group of all members according to the researchers's subject of interest.
- A parameter is a number that gives the measure of a factor generated from population (for ex Population mean (
) , population proportion (p) ). - A sample is a finite subset of the population that represents the population in an analysis.
- A statistic is a number that gives the measure of a factor generated from sample (for ex sample mean (
) ,sample proportion (
) ).
For the given situation, A researcher wishes to estimate the average amount spent per person by visitors to a theme park.
Population by researcher's point of interest : "Number of visitors"
Parameter of interest : "average(
) amount spent per person by visitors to the park"
Since he takes a random sample of forty visitors and obtains an average of $28 per person.
Here , sample : forty visitors
And average amount spent per person by visitors to the park from sample :
$28 per person.
The sample means is the best point-estimate for the population mean.
So , the best point-estimate for average amount spent per person by visitors to the park here is $28 per person.
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Learn more here: brainly.com/question/20052273