It's a linear function. We need only two points to sketch the graph.
f(x) = -5x + 4 → y = -5x + 4
for x = 0 → y = -5(0) + 4 = 0 + 4 = 4 → (0, 4)
for x = 1 → y= -5(1) + 4 = -5 + 4 = -1 → (1, -1)
The domain and the range is the set of all real numbers.
Answer:
So the answer for this case would be n=94 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence2 level is 98% or 0.98 then the significance level would be 
and 
, the critical value for this case would be 
, replacing into formula (b) we got:
So the answer for this case would be n=94 rounded up to the nearest integer
For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
The solution to the system of inequations is given by the shaded region.
Note: see attached image.
Answer: 3,969
Step-by-step explanation:
multiply 140x28.35
Answer: $2215
Step-by-step explanation:
For the past 5 weeks, Mandy adds $291 each week to her account. This gives $291×5= $1455
Money received on birthday= $313
Money started with in the account= $527
Total money in Mandy's account will be= $1455+$313+$527 = $2295
The total amount in Mandy's account is $2215
