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aleksandrvk [35]

2 years ago

7

the set of all real values of x such that xis greater than 9 and x is a member of the set integers can be represented using the

set builder notation

1 answer:

miskamm [114]2 years ago

4 0

Answer:

Step-by-step explanation:

$\{x|x\in Z, x>9\}$

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What is the rate of change of y with respect to x for this function?

lilavasa [31]

Answer:

Given the function: y=f(x) = 3x+2

when x=-2 at the beginning of the interval [-2, 5],

then;

y = 3x+2 begins at

y= 3(-2)+2 = -6+2= -4.

and

when x=5 at the end of the interval [-2, 5],

y = 3x+2 ends up at

y= 3(5)+2 = 15+2= 17.

So,

y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21

and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7

So, the average rate of change of y with respect to x over the interval

[-2, 5] is given by ;

=

Therefore, the average rate of change y with respect to x over the interval is, 3

Step-by-step explanation:

4 0

2 years ago

The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented

leva [86]

The equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

$d= \frac{a^{2}}{c}$

Here the directrix line is given as : x= 2304/50

Thus, $\frac{a^{2}}{c} = \frac{2304}{50}$

⇒ $\frac{a^{2}}{50} = \frac{2304}{50}$

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

5 0

3 years ago

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-4= 7x-(-1) / -8<br><br> Solve for x <br><br> (Solving multi step equations)

Evgen [1.6K]

Multiply both sides by -8.
Then add the one to both side to cancel it out and get 7x by itself
Then divide the whole thing by 7. So it’ll look like this: 32+1=7x and then add the one then divide by 7

4 0

3 years ago

Which is the same as 9/5?

Amiraneli [1.4K]

Answer:

$\large\boxed{\dfrac{9}{5}=1\dfrac{4}{5}}$

Step-by-step explanation:

$\dfrac{9}{5}-\text{it's the improper fraction}\to numerator>denominator\\\\\dfrac{5+4}{5}=\dfrac{5}{5}+\dfrac{4}{5}=1+\dfrac{4}{5}=1\dfrac{4}{5}$

5 0

3 years ago

{f(1)=15<br><br> f(n)=f(n-1)•n

zheka24 [161]

I solved the second equation and it’s zero, I’m not really sure how to help with the top on tho. I am really sorry :/

5 0

2 years ago

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