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astra-53 [7]
3 years ago
5

Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym co

sts consist of a one-time registration fee and a monthly fee modeled by the equation y = 10x + 30. Identify and interpret the y-intercept in this model.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  y = 10x + 30. comparing this model to the equation of a straight lines  we can get the y- intercept

y = 10x + 30\\\y= mx+c

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

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Tim sold half of his comic books then bought 8 more. He now has 17. How many did he start with?
disa [49]

Answer:

18

Step-by-step explanation:

18 divided by 2 is 9 plus 8 is 17

7 0
3 years ago
The Rectangular rug has side lengths of 3 and 4 feet. What is the length of the diagonal?
lesya [120]

the formula to find the diagonal would be

a^2+b^2=c^2

3^2+4^2= 9+16=25

the square root of 25 is 5

5^2=25

so your diagonal is 5 ft

7 0
3 years ago
length is 2x centimeters. Write a simplified equation to solve for x in terms of AT, the area of the tile. If necessary, use rat
Lelu [443]

i dont know if this is correct

AT (X)= 6X^2 another part to this equation is: AT/6= X^2 and the answer is X= AT/6^1/2b.

8 0
3 years ago
A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.
OleMash [197]

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

3 0
2 years ago
Select the two values of x that are roots of this equation x^2-5x+2=0
Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}

x =\frac{5 \pm \sqrt{25-8} }{2}

x =\frac{5 \pm \sqrt{17} }{2}

x =\frac{5 + \sqrt{17} }{2} OR x =\frac{5 - \sqrt{17} }{2}

x =\frac{5 + 4.12}{2} OR x =\frac{5 - 4.12}{2}

x =\frac{9.12}{2} OR x =\frac{0.88}{2}

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

#SPJ1

3 0
2 years ago
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