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Doss [256]
2 years ago
10

What is the equation for the hyperbola shown?

Mathematics
1 answer:
castortr0y [4]2 years ago
7 0

Answer:

\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1

In the graph a = 60 and b = 11

So

\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1.

\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1

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Arrange the following polynomial into descending order for x, then interpret the degree of the 3rd term. 2xy4 + 2x2y − 3y2 + 10x
Darina [25.2K]
The arrangement should be based on the decreasing degree of the terms which may be determined by the variable x as it should come first in alphabetical order. The polynomial is then,
                         10x³ + 2x²y + 2xy^4 - 3y²
The degree is equal to the sum of the exponents. Thus, the answer is 5 and it is letter D. 
8 0
3 years ago
Read 2 more answers
For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

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8 0
2 years ago
Read 2 more answers
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
Someone please help me ASAP
IRISSAK [1]

Answer:

-4, -3, -2, -1, 0, and 1

Step-by-step explanation:

-2<n+3<=4

-2<n+3<5

subtracting, we get:

-5<n<2

So the possible values of n are -4, -3, -2, -1, 0, and 1.

4 0
2 years ago
Read 2 more answers
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