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dsp73
4 years ago
14

Which of the following could be the graph of this equation?

Mathematics
1 answer:
Anna35 [415]4 years ago
4 0

Answer: OPTION C.

Step-by-step explanation:

Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.

For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).

Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.

Therefore, you need to search the option that shown the graph wich contains the point (1,-3).

Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).

This is the graph of the option C.

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Find the equation of a line in slope-intercept form that passes through the points (-2, 20) and (3, -10).
solniwko [45]
Simple...

you have: (-2,20) and (3,-10,)

Using \frac{ y_{1}- y_{2}  }{ x_{1}-  x_{2} } to find slope--->>>

\frac{20--10}{-2-3} = \frac{30}{-5}

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m=-6

Using y=mx+b to find the equation of the line-->>>(Use any of the coordinates)

(-2,20)

20=-6(-2)+b

20=12+b

20=12+b
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8=b

y=-6x+8

Thus, your answer.




4 0
4 years ago
What is 5/6 and 3/8 as an equivalent fraction ​
Veronika [31]

Answer:

5/6 - 10/12, 15/18, 20/24

3/8 - 6/16, 9/24, 12/32

Step-by-step explanation:

8 0
3 years ago
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Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, whi
SpyIntel [72]

Answer:

2.36 * 10^13 miles

Step-by-step explanation:

Given that :

Proxima centauri is at a distance of 4.24 light years away from the sun.

Distance in miles of Proxima centauri from the sun ;

1 light year = 5.9 * 10^12 miles

Number of light years from the sun * 5.9 * 10^12

= 4 * (5.9 * 10^12)

= 23.6 * 10^12 miles

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3 0
3 years ago
The light intensity I​ (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove
antiseptic1488 [7]

Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

log(\frac{I}{12})=-0.025x

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

log(\frac{I}{12})=-0.025(24)

log(\frac{I}{12})=-0.6

\frac{I}{12}=10^{-0.6}

\frac{I}{12}=0.2512

I=3.0143

Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 ​lumens

Substitute I=7 in above formula.

log(\frac{7}{12})=-0.025x

-0.23433=-0.025x

0.23433=0.025x

x=\frac{0.23433}{0.025}

x=9.3732

Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

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The length of a rectangle is 4 cm more than the width. If the ratio of the length to width is 8 to 5 find the dimensions of the
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Width is 14 and length is 18
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