The local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours. What is the slope and what does it represent?

Answers

Answer 1
Answer:

Options:

  1. 30; it represents the hourly wage for the worker
  2. 30; it represents the cost for insurance
  3. 10; it represents the hourly wage for the worker
  4. 10; it represents the cost for insurance

The answer is the third option "10; it represents the hourly wage for the worker." 10 would be the slope and if x represents hours then 10 would represent the amount of money the worker would get every hour.

Hope this helps!

Answer 2
Answer:

Answer:

10

Step-by-step explanation:

Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.

We find that this is of the form y = mx+B where

m=10 and B =30

Hence slope =m =10

Answer is 10

and it represents the rate of change of y for a unit change in x.


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1)In a sample of 100 households, the mean number of hours spent on social networking sites during the month of January was 50 hours. In a much larger study, the standard deviation was determined to be 6 hours.
Assume the population standard deviation is the same. What is the 98% confidence interval for the mean hours devoted to social networking in January?

2)Two studies were completed in Florida. One study in northern Florida involved 2,000 patients; 64% of them experienced flu-like symptoms during the month of December.
The other study, in southern Florida, involved 3,000 patients;
54% of them experienced flu-like symptoms during the same month. Which study has the smallest margin of error for a 95% confidence interval?

Answers

So the following is the answer of the following question in your problem and please do not post to many question in just one posting. 
#1 The 98% confidence interval for the mean hours is between 6 and 50.
#2 The smallest margin of error between the two is southern florida with 1.8% margin of error.

if a coin and a number cube are tossed at the same time, what is the probability of tossing heads and rolling an even number

Answers

Its 0.25 % because there is a 50% of a coin itself and cube itself

Where does f(x)=3x2-11x-4 intersect the x axis?The negative x-intercept is at (___,0)
The positive x-intercept is at (___,0)

Answers

we know that  

The x-intercept is the value of x when the value of the function is equal to zero.

in this problem  we have

f(x)=3x^(2)-11x-4

To find the x-intercepts equate the function to zero

3x^(2)-11x-4=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

3x^(2)-11x=4

Factor the leading coefficient

3(x^(2)-(11x/3))=4

Complete the square. Remember to balance the equation by adding the same constants to each side

3(x^(2)-(11x/3)+(121/36))=4+(121/12)

3(x^(2)-(11x/3)+(121/36))=(169/12)

(x^(2)-(11x/3)+(121/36))=(169/36)

Rewrite as perfect squares

(x-(11/6))^(2)=(169/36)

square root both sides

(x-(11/6))=(+/-)(13/6)

x=(11/6)(+/-)(13/6)

x=(11/6)+(13/6)=24/6=4

x=(11/6)-(13/6)=-2/6=-1/3

therefore

the answer is

The negative x-intercept is at (-1/3,0)

The positive x-intercept is at (4,0)

The negative x-intercept is (-1/3, 0) and the positive x-intercept is (4,0)

Intercepts

Given the expression 3x²-11x-4, the x intercept occur that the point where f(x) = 0.

The function will become 3x²-11x-4 = 0

factorising expressions

Factorize the result to have:

  • 3x² -12x + x - 4 = 0

Group the function to have;

  • (3x²-12x)+(x-4) = 0

Factor out the GCF

3x(x-4) + 1(x-4) = 0

(3x+1) (x-4) = 0

Get the x-intercepts

3x+1 = 0

x = -1/3

Hence the negative x-intercept is (-1/3, 0)

Also, x-4 = 0

x = 4

Hence the positive x-intercept is (4, 0)

Learn more on intercepts here: brainly.com/question/24212383

Solve the equation 3x + 4y = 16 for x.

Answers

Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
3x = 16 + 4y

Divide each side by '3'.
x = 5.333333333 + 1.333333333y

Simplifying
x = 5.333333333 + 1.333333333y

A firefighter climbed up to the middle of a ladder to see if there was any fire on the second floor of a building and there was none; he then climbed up 10 more steps and saw some smoke so he came back down 14 steps and waited for 5 seconds to check his equipment. He then climbed 20 steps all the way to the top of the ladder and got off on the roof. How many steps are there on the ladder?

Answers

Answer:

32

Step-by-step explanation:

Let there be n number of steps on the ladder.

First, the firefighter climbed up to the middle of a ladder. so to reach the middle of the ladder he must have climbed \frac n 2 steps.

Then, after climbed 10 more steps, the total number of stairs from the ground he climbed = \frac n 2 +10.

Then, he came back down 14 steps, so the total number of stairs from the ground he climbed = \frac n 2 +10 -14=\frac n 2 -4.

Remaining steps = n - \left(\frac n 2 -4 \right)=\frac n 2 +4

Given that he climbed 20 steps all the way to the top of the ladder which is equal to the remaining steps. So,

\frac n 2 +4 = 20

\Rightarrow \frac n 2 = 20-4=16

\Rightarrow n = 16 * 2 = 32.

Hence, there are 32 steps on the ladder.

*Which does NOT describe SLOPE?

unit rate
rate of change
"per"
initial value

Answers

Unit Rate is the correct answer, I know because it is the correct answer