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denpristay [2]
3 years ago
13

Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

x^2 + y^2 = 8

If we put x=0 then we get two value of y i.e \sqrt8 and -\sqrt8 which satisfy the equation  and therefore the equation is not a function.

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Help a girl out ?? i'm not sure how to do the equation .
LekaFEV [45]

Answer:

 Investment amount after 9 years = 14715.12$

Explanation:

 It is given to use continuous change function, A(t) = Pe^{rt}

Here P = Principal = 10500$

          r = Rate of increase = 0.0375

          t = Number of years = 9

  A(t) = Pe^{rt}\\ \\ A(t) = 10500*e^{0.0375*9}=14715.12

 So, investment amount after 9 years = 14715.12$

6 0
3 years ago
Please help asap rocky, I think im giving 40 points for this!
Ivanshal [37]

Answer:

this kid gryson is deleting my answer and i dont know how when they arent even his questions and he is being a little brat

Step-by-step explanation:

3 0
3 years ago
Your realized income is 2,847.69/month. your fixed expenses are 36% of your monthly income. you decide to save 40% of your discr
Allushta [10]
If you would like to know how much do you save per month, you can calculate this using the following steps:

your expenses: 36% of 2,847.69 = 36% * 2,847.69 = 36/100 * 2,847.69 = 1,025.17
2,847.69 - 1,025.17 = 1,822.52

saving 40% of your discretionary money: 40% of 1,822.52 = 40% * 1,822.52 = 40/100 * 1,822.52 = 729.008 = 729.01

The correct result would be: You can save 729.01 per month.
5 0
2 years ago
A circle with center (4 -3) contain the point (9,-3). what is an equation of the circle
torisob [31]

Answer:

\large\boxed{(x-4)^2+(y+3)^2=25}

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Susbtitute:

r=\sqrt{(9-4)^2+(-3-(-3))^2}=\sqrt{5^2+0^2}=\sqrt{5^2}=5

The center (4, -3) → h = 4, k = -3.

Finally we have:

(x-4)^2+(y-(-3))^2=5^2\\\\(x-4)^2+(y+3)^2=25

4 0
3 years ago
4x +1 = -47<br> I’ve been trying to find this out for a while now and I simply just can’t
sattari [20]

Answer:

Step-by-step explanation: your goal is to keep x on one side and everything else on the other.

subtract 1 from both sides

4x = -48

divide 4 on both sides

x= -12

hope this helps :)

5 0
2 years ago
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