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3 years ago

3. Tell how to convert from an improper fraction to a mixed number.

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Answer:

Step-by-step explanation:

1. Divide the numerator by the denominator.

2. Write down the whole number answer.

3. Write down any remainder above the denominator.

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Please help me with this

Shalnov [3]

<h2>Exponential Functions</h2>

Exponential functions are typically organized in this format:

$f(x) = a*c^x$

To find the equation given the graph of an exponential function:

Identify the horizontal asymptote
⇒ <em>asymptote</em> - a line towards which a graph appears to travel but never meets
⇒ If the horizontal asymptote is not equal to 0, we add this at the end of the function equation.
Identify the y-intercept
⇒ This is our <em>a</em> value.
Identify a point on the graph and solve for <em>c</em>

<em />

<h2>Solving the Question</h2>

Identify the horizontal asymptote

In this question, it appears to be x = 0.

Identify the y-intercept

The y-intercept is the value of <em>y</em> at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our <em>a</em> value. Plug this into $f(x) = a*c^x$ :

$f(x) = 100*c^x$

Solve for <em>c</em>

We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for <em>c</em>:

$f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}$

Plug <em>c</em> back into our original equation:

$f(x) = 100*(\dfrac{1}{2})^x$

<h2>Answer</h2>

$f(x) = 100*(\dfrac{1}{2})^x$

6 0

2 years ago

10 x f(7) +9 x g(-1)=

netineya [11]

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

6 0

2 years ago

Suppose w=xy+yzw=xy+yz, where x=e2t, y=2+sin(4t)x=e2t, y=2+sin⁡(4t), and z=2+cos(5t)z=2+cos⁡(5t).

Volgvan

$w(x,y,z)=xy+yz$
$x(t)=e^{2t}$
$y(t)=2+\sin4t$
$z(t)=2+\cos5t$

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

$\dfrac{\mathrm dw}{\mathrm dt}=y\dfrac{\mathrm dx}{\mathrm dt}+(x+z)\dfrac{\mathrm dy}{\mathrm dt}+y\dfrac{\mathrm dz}{\mathrm dt}$

$\dfrac{\mathrm dw}{\mathrm dt}=2ye^{2t}+4(x+z)\cos4t-5y\sin5t$

3 0

3 years ago

What is the rate of change of the function y= -7?

Mandarinka [93]

Answer:

Zero

Step-by-step explanation:

Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7

Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero

4 0

3 years ago

Find three consecutive positive integers such that the product of the first and third interger is 17 more than 3 times the secon

Komok [63]

Answer:

5, 6, 7

Step-by-step explanation:

In order to solve for the three integers, we can assign a variable and set up an equation:

first integer: x

second integer: x + 1

third integer: x + 2

Given that 'the product of the first and third integer is 17 more than 3 times the second integer':

x(x + 2) = 3(x + 1) + 17

Distribute: x² + 2x = 3x + 3 + 17

Combine like terms: x² - x - 20 = 0

Factor: (x - 5)(x + 4) = 0

Set them equal to '0' and solve:

x - 5 = 0 x + 4 = 0

x = 5 x = -4

Since the problem asks for positive integers, x must equal 5:

first = 5

second = 5 + 1 = 6

third = 5 + 2 = 7

3 0

3 years ago