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3 years ago

Given the following table and graph write the equation to represent the exponential function.

Mathematics

1 answer:

meriva3 years ago

7 0

Answer:

The exponential equation is y = -2×(1/2)^x

Step-by-step explanation:

Ok we have a couple things to note here:

1) The horizontal asymptote of the function is the x axis (always nice)

2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)

3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:

y=a×b^x----> -1 = (-2)(b) ------> b=1/2

Therefore, the exponential equation is y = -2×(1/2)^x

Test:

At x = 0, y= -2

At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4

At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2

Thus we can be quite certain that this is correct

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Which transformations are needed to change the parent cosine function to y= 3cos(10(x-pi) )?

denpristay [2]

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3 years ago

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RUDIKE [14]

Answer:

Z(2w-2)=24

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2 years ago

Brandon has a playlist with 83 hip-hop and pop songs. There are 15 more hip-hop songs than pop songs. How many pop songs are on

kogti [31]

Using a system of equations, it is found that there are 34 pop songs are on the playlist.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of hip-hop songs.

Variable y: Number of pop songs.

Brandon has a playlist with 83 hip-hop and pop songs, hence:

x + y = 83.

There are 15 more hip-hop songs than pop songs, hence:

x = 15 + y.

Replacing the second onto the first equation:

x + y = 83.

15 + y + y = 83.

2y = 68.

y = 34.

There are 34 pop songs are on the playlist.

More can be learned about a system of equations at brainly.com/question/24342899

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2 years ago

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iogann1982 [59]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :

Length of transverse axis is :

$\qquad \sf \dashrightarrow \: 2b = 12$

$\qquad \sf \dashrightarrow \: b = 6$

length of conjugate axis is :

$\qquad \sf \dashrightarrow \: 2a = 8$

$\qquad \sf \dashrightarrow \: a = 4$

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$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{ {x}^{2} }{ {a}^{2} } = 1$

plug in the values ~

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1 year ago

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I need trigometry help

Alex Ar [27]

A^2=b^2+c^2-2bc Cos(A)
(270)^2=(255)^2+(442.85)^2-2(255)(442.85)Cos(A)
A=Cos^(-1)(270^2-255^2_(442.85)^2)/(-2*255*442.85)=33.5435
solve for angle A approximately is 33.54 degrees.
sinA/a=SinB/b
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B=Sin^(-1)(sin33.54/270*255)approximately is 31.45.
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3 years ago