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3 years ago

Consider the function f(x)=3/4x+12 what is the y-intercept of f-1(x)

Mathematics

2 answers:

miskamm [114]3 years ago

8 0

Answer:

y = -16

Step-by-step explanation:

f(x)=3/4x+12 (replace f(x) with y)

y =3/4x+12 (rearrange to express x in terms of y)

y - 12=3/4 x

3/4 x = y - 12

3x = 4(y - 12)

x = (4/3)(y - 12)

x = (4/3)y - (4/3)(12)

x = (4/3)y - 16

$f^{-1}$ (y) = (4/3)y - 16

$f^{-1}$ (x) = (4/3)x - 16

comparing to general form

y = mx + b where b is the y-intercept

b = -16

Hence the y-intercept is y = -16

TEA [102]3 years ago

5 0

Answer: A

–16

Step-by-step explanation:

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I don’t get this please help ASAP

jek_recluse [69]

Answer:

AE = 70

Step-by-step explanation:

Given that ACE is a triangle and B , D , F are mid-points of AC, CE, AE respectively.

⇒ BF, FD, BD are mid-segments.

Mid-segment is a line segment joining mid points of two sides of a triangle,

And it as two properties :

1) mid-segment is always parallel to the third side

2) mid-segment is half in length of the third side

⇒ Here, BD is the mid-segment and is parallel to third side AE

And also BD is half of AE

⇒ AE = 2×BD = 2×35

⇒ AE = 70.

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3 years ago

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Lerok [7]

Answer:

it's the 3rd one

Step-by-step explanation:

i used m ath way

8 0

2 years ago

write the standard form of the equation of the circle with the given center and radius (6,4), r= square root of 7

REY [17]

The standard form of the equation of a circle is $(x-6)^{2}+(y-4)^{2}=7$ .

Solution:

Center of the circle = (6, 4)

Radius of the circle = $\sqrt{7}$

<u>To find the equation of the circle:</u>

General formula for the equation of a circle

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where (h, k) is the center of the circle and r is the radius of the circle.

Here, h = 6, k = 4 and r = $\sqrt{7}$

$(x-6)^{2}+(y-4)^{2}=(\sqrt{7}) ^{2}$

$(x-6)^{2}+(y-4)^{2}=7$

Hence the standard form of the equation of a circle is $(x-6)^{2}+(y-4)^{2}=7$ .

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2 years ago

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stiv31 [10]

Answer:

you didn't put a question.

Step-by-step explanation:

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2 years ago

Adam’s house is 2 centimeters from juan’s house on a map. if each centimeter on the map represents 6 kilometers, how far apart a

kenny6666 [7]

Juan's home is about 12 kilometers from Adam's.

<h3>What are measurements in math's?</h3>

In the study of mathematics and science, measurement is the fundamental idea. By quantifying an object's or event's qualities, we can compare them to those of other objects or occurrences. When discussing the division of a quantity, the phrase "measurement" is most frequently employed.

<h3>According to the given information:</h3>

The distance between Adam's and Juan's residences on the map in centimeters is simply multiplied by the number of kilometers that each centimeter on the map represents, which in this case is 6, to determine how far Adam's house is from Juan's.

2 * 6 = 12

Which is our response.

Juan's home is about 12 kilometers from Adam's.

To know more about measurements visit:

brainly.com/question/1311417

#SPJ4

6 0

2 years ago