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VMariaS [17]
3 years ago
13

Find the vertex of h(x)=(x+6)^2

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
Convert it into the y=a(x-h)+k form and the values of h and k are your vertex.
You can convert by completing the square method.
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A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
Look at the picture on top 63 points
Anton [14]

Answer:

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7 0
3 years ago
Solving linear inequalities
kolezko [41]
What exactly do you need help with  with this topic<span />
8 0
3 years ago
Given f(x)=x+7 and g(x)=x-3 what is f(x)+g(x) ? A.2x+4 B.10x C.2x-7 D.-2x+10
Zinaida [17]
F(x)+g(x) = (x+7) + (x-3) =
                  x + 7 + x - 3 =
                  2x + 4

<span>
A.2x+4</span>
7 0
3 years ago
Read 2 more answers
James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c
swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

6Z=3(Z+8)

6Z-3Z=24

3Z=24

Divide both sides by 3.

Z=8

Therefore, the required equation is 6Z=3(Z+8) is age of zach is 8 years.

5 0
3 years ago
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