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Anna71 [15]
3 years ago
11

Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500

calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories/mile. Let w represent the number of miles Mark walks and let r represent the number of miles Mark runs. Write a system of inequalities to model this situation.
Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

w + r 》 4 (greater than/equal to 4)

270w + 650r 》 1500

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Answer:

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180-58=122

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Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. What does this prove?
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It proves The function f(x) is an arithmetic sequence.
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A part selected for testing is equally likely to have been produced on any one of six cutting tools.
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Answer:

a)S= (1,2,3,4,5,6)

b) 1/6 or 16.67%

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Step-by-step explanation:

a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6

b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it

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c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%

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Which of the following is an equation of a line parallel to the equation y=4x+1?
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y = 4x + b, where b is any number

Step-by-step explanation:

Adrian, you need to share the possible answer choices.

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Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th
Mariana [72]

The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x\² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-36)\² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x\² - x + 4 = 0

The above equation can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-1)\² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x\² + 23 - 35

Evaluate the difference

4x\² -12

Factor out 4

4(x\² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

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