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3 years ago

13

You would like to join a fitness center. Fit-N-Trim charges $80 per month. Fit-For-Life charges a one tim e membership fee of $7

5 and $55 per month. The lines shown in the graph represent the cost y to attend each fitness center for x months. Are the lines parallel?

1 answer:

maksim [4K]3 years ago

6 0

Y=80x
y=55x+75
They are not parallel

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A number cube contains the numbers 1-6. Without counting the numbers that are less than two, you will get 3, 4, 5, and 6.

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For the graph, identify the axis of symmetry, vertex, y-intercept, max/min, and domain and range

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In the present problem, it is presented a figure of a graph of a parabola with concavity facing up, what implies in that the graph will not have a Max., but a Min. value, and it is in the vertex.

Let us start with the A.O.S. (Axis Of Symmetry). For a parabola, it is the line that passes in the minimum point, that can be identified in the present figure as being in the x = - 1 point. And for this reason, we are able to answer the first part as:

A.O.S.: x = -1

Now, as mentioned above, the vertex lies in the minimum point, which is located in the x = -1 and with height y = 2. This allow us to answer the second part as:

Vertex: (-1, 2)

About the y-interception, it happens when the graph passes through the y-axis. It happens when x = 0, and the answer is just the value of Y where the graph assumes x=0, which is at:

Y-intercept: y = 4

Because the parabola has concavity facing up, the graph presents a value of minimum, but no maximum. And this is possible to be identified as the point where x = -1 and y = 2, which lead us to the following answer for the third part of the question:

Min.: (-1 , 2)

The domain for any second-order polynomial is the entire real number because there is no restriction for the value of x. And for this reason, the answer of the fourth part of the answer is:

Domain: All real numbers

About the range, for a parabola with the concavity facing up, it can be determined as all the real numbers bigger or equal to the minimum value of the function, which is y = 2. From this reason, we are able to answer the last part of the question as:

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9 months ago

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She

frozen [14]

Answer:

d = 167.7 m

Step-by-step explanation:

We have,

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She drove about another 75 km north to Dallas.

It is required to find the approximate air distance from Pearland to Dallas, Texas.

The resultant vector will give the approximate air distance. So,

$d=\sqrt{150^2+75^2} \\\\d=167.7\ m$

So, the approximate air distance from Pearland to Dallas, Texas is 167.7 m.

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3 years ago

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62.5% is your answer i hope this helps you

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3 years ago

Given the trinomial 2x*2 + 4x + 4, predict the type of solutions. a. Two rational solutions b. One rational solution c. Two irra

OverLord2011 [107]

Answer:

d. Two complex solutions

Step-by-step explanation:

We have been given a trinomial $2x^2+4x+4$ and we are supposed to predict the type of solutions of our given trinomial.

We will use discriminant formula to solve for our given problem.

$\text{Discriminant}=b^2-4ac$ , where,

$a =\text{Coefficient of }x^2$ ,

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Conclusion from the result of Discriminant are:

$D$

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Upon substituting our given values in above formula we will get,

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$\text{Discriminant}=-16$

Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.

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3 years ago

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