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JulijaS [17]
3 years ago
14

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x

represents the total number of hours the restaurant host work,which function,f(x), represent the total amount the restaurant host would earn if working for more than 40 hours
Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

f(x) =  15x - 200

Step-by-step explanation:

Given

Earnings = \$10 per hour for 40 hours, weekly

Additional\ Hour = \$15 per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

f(x) = 400 + (x - 40) * 15

f(x) = 400 + 15x - 600

f(x) =  15x - 600 + 400

f(x) =  15x - 200

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artcher [175]

Answer:

wheres the question

Step-by-step explanation:

4 0
3 years ago
Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:
Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

m =  \frac{rise}{run}

m =  \frac{ - 4.5 -  - 3}{2 -  - 4}  =  \frac{ -  1.5}{6}

m =  -  \frac{1}{4}

The y-intercept can be obtained by finding the equation of the line in the form:

y = mx + c

We plug in the slope and the point (-4,-3) to find c.

This implies that,

- 3 =  -  \frac{1}{4}  \times  - 4 + c

- 3 = 1 + c

c =  - 3 - 1 =  - 4

Hence the y-intercept is -4.

The given line is

y =  \frac{3}{2} x + 1

This is already in the slope intercept form:

The slope is

m =  \frac{3}{2}

The y-intercept is c=1

5 0
3 years ago
Read 2 more answers
Help me this is hard
siniylev [52]

Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Multiplication/Division and Addition/Subtraction are interchangeable.

Now then, number 1 has the following:

4-2*409-8*96

There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.

-2 * 409 = -818

-8 * 96 = -768

Since you did that, your answer has been simplified to:

4-818-768

Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.

4-818-768 = -1582

So, your final answer would be:

4-2*409-8*96 = -1582

Hopefully with this information, you can solve the rest. If you have any questions, let me know.

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3 years ago
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lara [203]

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

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Answer: m<ABO = 22 deg

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liraira [26]
I need a picture to answer the question
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