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finlep [7]
3 years ago
9

Which is a graph of g(c) = (0.5)x+3^ -4

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

I've attached a graph with this, that's your answer

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What is the slope of the line that passes through the points (-4,2) and (2,-1)
Anettt [7]

Answer:

1/-2 is the slope

Step-by-step explanation:

\frac{2-(-1)}{-4-2}  = \frac{2+1}{-4-2}  = \frac{3}{-6} = \frac{1}{-2}

8 0
3 years ago
Read 2 more answers
Expand:<br><img src="https://tex.z-dn.net/?f=f%28z%29%20%3D%20%20%5Cfrac%7B1%7D%7Bz%28z%20-%202%29%7D%20" id="TexFormula1" title
Monica [59]

Expand f(z) into partial fractions:

\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)

Recall that for |z| < 1, we have the power series

\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}

So the series expansion of f(z) for |z| > 2 is

\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)

\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}

\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}

\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}

6 0
2 years ago
Help me find the GCF 93 AND 62
Ilia_Sergeevich [38]
The GCF of 93 and 62 is 31
8 0
4 years ago
Find the inverse please tell me where to put the dots thanks
aev [14]

Answer:

Draw a line segment from (-7, -2) to (3, 8)

See the diagram below.

You do not have to draw the blue dashed line. It's there to show how the points reflect over.

=========================================================

Explanation:

The inverse will have us swap x and y. The point (x,y) becomes (y,x)

The endpoint (-2, -7) becomes (-7, -2)

Also (8,3) moves to (3, 8)

Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.

Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.

Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.  

8 0
2 years ago
Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and
Brut [27]

Answer:

Cost per night: 75

Equation: y = 75x + 50

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, y = mx + b, where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75

✅The cost per night = 75

y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.

Substitute m = 75, and b = 50 into y = mx + b.

✅The equation would be:

y = 75x + 50

6 0
3 years ago
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