1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
N76 [4]
2 years ago
6

A coordinate grid showing Number of Classes on the horizontal x-axis and Total Cost in dollars on the vertical y-axis with 2 lin

es. The first line passes through (0, 10) and a point at (4, 32). The second line passes through (0, 0) and a point at (2, 15).
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. What is the system of equations representing these costs?

y = 5.5x and y = 7.5x + 10
y = 7.5x and y = 5.5x
y = 7.5x and y = 5.5x + 10
y = 7.5x + 10 and y = 5.5x + 10
Mathematics
1 answer:
Oksana_A [137]2 years ago
5 0

The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10

<h3>How to find the equation of a line?</h3>

The slope of the first line is;

m = (y2 - y1)/(x2 - x1)

m = (32 - 10)/(4 - 0)

m = 5.5

Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10

The slope of the second line is;

m = (y2 - y1)/(x2 - x1)

m = (15 - 0)/(2 - 0)

m = 7.5

Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x

Thus, the system of equations representing these costs are;

y = 7.5x and y = 5.5x + 10

Read more about Equation of a line at; brainly.com/question/13763238

#SPJ1

You might be interested in
Mara had 7 cookies.She ate some Now she has 4 cookies. How many cookies did she eat? Draw a tape diagram
Westkost [7]
Mara ate 3 cookies because you subtract
3 0
3 years ago
Read 2 more answers
Convert 510° from degrees to radians
vitfil [10]

Answer:

\frac{17\pi }{6}

Step-by-step explanation:

To convert from degrees to radians

radian = degree measure \frac{\pi }{180}

           = 510 × \frac{\pi }{180}

           = \frac{51\pi }{18}

           = \frac{17\pi }{6} radians

6 0
2 years ago
Read 2 more answers
There are 460 students enrolled at freedom academy. 40 percent of the students are male. How many males attend Freedom academy?
arsen [322]

Answer:

184

Step-by-step explanation:

convert percentage into decimal:

40% = 40/100 = 0.4

Therefore 40% of 460 = 0.4 x 460 = 184

8 0
2 years ago
Read 2 more answers
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
Convert 84 degrees fahrenheit to celsius. round answer to nearest tenth<br><br> please help!!!
vladimir1956 [14]

Answer:

28.9°c

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Simplify this expression: a + 2a + 3b - a - b
    12·2 answers
  • Karen brought a total of 7 Items at 5 different stores. She began with $65.00 and had $15.00 remaining. Which of the following e
    14·2 answers
  • Evaluate the following functions at x = 10<br>g(x)=√(x+1)​
    11·2 answers
  • One half of a number decreased by 16
    6·2 answers
  • Is 2+7–8 and 8+7–2 equivalent? If so name the property. If not explain why
    8·1 answer
  • 39 is 40% of what number (please explain)
    14·1 answer
  • What is the area of the triangular base?
    12·1 answer
  • What is his total interest?
    13·2 answers
  • Please help me with Algebra 2 problems.
    12·1 answer
  • Two eight sided number cubes are rolled What is the probability that both number cubes land on the same number:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!