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astra-53 [7]
2 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]2 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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If x/y + y/x = -1 , find the value of x^3 - y^3
marin [14]

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

7 0
3 years ago
What is the height of a projectile in 4 seconds if its initial height is 125 ft and it has a velocity of 300 ft per second? 972
andre [41]

Answer:

B. 1069 feet

Step-by-step explanation:

d=v_ot+\dfrac{1}{2}at^2 \\\\d=(300)(4)+\dfrac{1}{2}(-32)(4)^2 \\\\d=1200-256=944

Adding the initial 125 feet to this, you get a total height of 1069 feet. Hope this helps!

4 0
3 years ago
Help in solving $0.32c=$7.36
Nikitich [7]
Divide both sides by 0.32 and you'll get the value for c
5 0
3 years ago
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does
jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

4 0
3 years ago
Explain why the oppisite of a positive number will always be a negitive number​
Aloiza [94]

Answer:

because a positive is over zero and a negative is below zero so from that you can tell that the opposite of any positive will be a negative.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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