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erma4kov [3.2K]
3 years ago
6

The graph of y =ex is transformed as shown in the graph below. Which equation represents the transformed function?

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

B. e^x+3

Step-by-step explanation:

Y=e^x

the graph is moving 3 units up

y= y+3

y=e^x+3

answer = y=e^x+3

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Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
polet [3.4K]
Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]   \left[\begin{array}{cc}e&f\\g&h\end{array}\right] =  \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}

The the matrix product becomes:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.
8 0
3 years ago
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Please help me with these two questions. Find the circumference AND area for the circles on the right. (I will mark brainliest)
notsponge [240]

5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

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7 0
2 years ago
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Write a decimal equation that has a product of 3.15
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3 years ago
THIS IS QUESTION 4 OF A 30 QUESTION TEST!! PLEASE HELP!!
Roman55 [17]

Answer:

b

Step-by-step explanation:

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3 years ago
Solve the following equation (If possible please show work)
irina [24]

Answer:

<em>x = 5</em>

Step-by-step explanation:

5(x + 4) - 8 = x + 32

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Hope this helped! :)

4 0
3 years ago
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