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2 years ago

Which represents the inverse of the function f(x) = 4x?

Mathematics

1 answer:

Viktor [21]2 years ago

6 0

Answer:

last answer:

h(x) = 1/4 x

Step-by-step explanation:

First, change f(x) to y.

f(x) = 4x

y = 4x

Then switch the x and y.

y = 4x

x = 4y

Last, solve for y.

x = 4y

x/4 = 4y/4

x/4 = y

y = x/4

This is the same as:

y = 1/4 x

h(x) = 1/4 x

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A card is drawn at random from a standard 52-card deck. Events G and A are

kolezko [41]

P(G) is 26/52
P(H) is 8/52
See the rest in the photo

6 0

3 years ago

(SAT Prep) Find the value of x.

emmainna [20.7K]

Answer:

120 deg

Step-by-step explanation:

Draw a horizontal line that passes vertices of 2 angles 125 deg and 115 deg.

This line is perpendicular with 2 vectors.

Apply the property of vertical angles and the sum of 3 angles in a triangle.

x = 180 - (125 - 90) - (115 - 90) = 120 deg

5 0

3 years ago

You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding

Rufina [12.5K]

Answer:

$8r + 6s = 100$ --- (a)

$s = -2$ ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

$8r + 6s = 100$

Solving (b):

Value of s when r = 14

$8r + 6s = 100$

Substitute 14 for r

$8 * 14 + 6s = 100$

$112+ 6s = 100$

Solve for 6s

$6s = 100 - 112$

$6s = -12$

Solve for s

$s = -12/6$

$s = -2$

4 0

3 years ago

Which 2 equations would you use to solve this system?

slega [8]

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

4 0

3 years ago

The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,

ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

$AC^2 =AB^2 +BC^2 \\ = {12}^{2} + {5}^{2} \\ = 144 + 25 \\ = 169 \\ AC = \sqrt{169} \\ \therefore \: AC = 13\: m \\ \\ AC \: is \: the \: diameter \: of \: semicircle \\ \therefore \: r = \frac{1}{2} \times AC = \frac{1}{2} \times 13 = 6.5 \: m \\ Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:$

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

$=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2$

8 0

3 years ago