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12345 [234]
3 years ago
13

Which option below shows the graph of the function g(x) = (0.20)2 x ?

Mathematics
2 answers:
taurus [48]3 years ago
4 0
The first/selected graph matches g(x)=0.2*2^x
mariarad [96]3 years ago
3 0

Answer:

Option 1

Step-by-step explanation:

Given : The function g(x)=(0.20)2^x

To find : Which option below shows the graph of the given function ?

Solution :

We know that,

The y-intercept of a function is the value of y when the value of x is equal to zero.

Substitute x=0 in the given function,

g(0)=(0.20)2^0

g(0)=0.20

This shows that graph is passing through the point (0,0.20).

In the following options on graph 1 the point passes through the point.

Therefore, Option 1 is correct.

Refer the attached figure.

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Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
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The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

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<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

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Therefore, the coordinates of point B' are (-3, 6).

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2 years ago
Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

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------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

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4x - 3 = -11

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x = -8/4

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4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

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we solve for y:

2y = −6

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we do substitute in the first equation:

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we solve for x:

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then we substitute in the first equation the result found:

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we multiply by 3 to eliminate fractions:

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3 0
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Hey there find an image attached..

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