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andrezito [222]
3 years ago
9

PLEASE HELP

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
Since the domain are the x-values of the function, we need to find the y-values using those x-values.
- for x=\frac{1}{2}, log x_{2} ( \frac{1}{2} )=-1. Now we have our first ordered pair: ( \frac{1}{2} ,-1)
- for x=1, log_{2} (1)=0 which gives us our next ordered pair: (1,0)
- for x=2, log_{2} (2)=1, so (2,1)
- for x=4, log_{2} (4)=2, so (4,2)
- for x=8, log_{2} (8)=3, so our last order pair is (8,3)

Finally we can plug the points and joint them to create our graph:

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A=1/2 ap <br> What is the value of p if A=40ft2 and <br> a= 8ft?
cricket20 [7]
A=1/2ap

(40ft^2)=1/2*8*p

p=(40ft^2)/4
7 0
3 years ago
2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)
pantera1 [17]

Answer:

y = -2x + 10

Step-by-step explanation:

Slope: m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}}

Slope-Intercept Form: y=mx+b

m=\frac{8-0}{1-5}

m = -2

y = -2x + b

0 = -2 (5)+b

0=(-10)+b

b = 10

y = -2x + 10

8 0
3 years ago
Find the half range Fourier sine series of the function
worty [1.4K]
The full range is -\pi (length 2L=2\pi), so the half range is L=\pi. The half range sine series would then be given by

f(x)=\displaystyle\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L=\sum_{n\ge1}b_n\sin nx

where

b_n=\displaystyle\frac2L\int_0^Lf(x)\sin\dfrac{n\pi x}L\,\mathrm dx=\frac2\pi\int_0^\pi(\pi-x)\sin nx\,\mathrm dx

Essentially, this is the same as finding the Fourier series for the function

\begin{cases}g(x)=\begin{cases}\pi-x&\text{for }0

Integrating by parts yields

b_n=\dfrac2\pi\left(\dfrac\pi n-\dfrac{\sin n\pi}{n^2}\right)=\dfrac2n

So the half range sine series for this function is simply

f(x)=\displaystyle\sum_{n\ge1}\frac{2\sin nx}n
5 0
3 years ago
Danielle spent $35 on magazine and some notepads. If the magazine cost $3 and each notepad cost $4 how many notepads did she buy
Paha777 [63]
She bought 10 notebooks
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4 years ago
The points (−4, −3) and (3, y) lie on the same line.
drek231 [11]

Answer:

y= 11

Step-by-step explanation:

\boxed{slope =  \frac{y _{1} - y_2 }{x_1 - x_2} }

Substituting the coordinates and value of slope:

\frac{y - ( - 3)}{3 - ( - 4)}  = 2

\frac{y + 3}{3 + 4}  = 2

\frac{y + 3}{7}  = 2

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

5 0
2 years ago
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