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guapka [62]
2 years ago
6

X is proportional to root y where y>0

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer:

x is proportional to √y where y > 0

Step-by-step explanation:

You might be interested in
The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
Read 2 more answers
Two angles are supplementary. Which of the following equations can be used to find the value of the missing angle, x, if the oth
Natali [406]

Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

x + y = 180

We know that one of the angles (say x) is 98. So, the equation updates to

98 + y = 180

If we want to solve for the other angle, we can simply subtract 98 from both sides to get

y = 180-98 = 82

6 0
3 years ago
2. Determine if either of the following equations are functions? Draw the graphs and explain how
nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

y=-\dfrac{3}{5}x+2

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function y=-\dfrac{3}{5}x+2 with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

y=x-x^2

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function y=x-x^2 with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

4 0
3 years ago
PLEASE HELP WITH MY MATH!!!!!!!!!!!!!!!!!
lozanna [386]

I think it would be c if it were a greater rate I don't know if i am right I'll check back with you guys on the answer

3 0
3 years ago
Read 2 more answers
True or False? 92x - x = 92
maksim [4K]

Answer: False

Step-by-step explanation: 92x-x would be 91x.

8 0
2 years ago
Read 2 more answers
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