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Alborosie
3 years ago
6

HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
<span>Find the inverse function of f. 
f(x)=(1+3x)/(5-2x) 
Interchange x and y to get: 
x=(1+3y)/(5-2y)
Solve for y as follows: 
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function</span>
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Lisa used the rule "Red, Yellow, Yellow, Yellow" to make a bracelet with a repeating pattern. She
konstantin123 [22]

Answer:

28 beads were used to make the bracelet. 7 beads were not yellow.

Step-by-step explanation:

3/4 beads used to make the bracelet are yellow

If 21 beads are 3/4 of the bracelet and yellow

1/3 of the 21 beads would be 1/4 of the bracelet

7 beads are 1/3 of 21 beads

7 × 4 = 28 beads

8 0
3 years ago
Drag numbers to the table so it shows a proportional relationship between x and y.
dezoksy [38]

Answer:

7.5         30

45         180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5          30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45         180

Answer:

7.5         30

45         180

8 0
3 years ago
What kind of solution is -4x-4=-7(x+4) ?
natima [27]

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(4 + x)

-4 + -4x = (4 * -7 + x * -7)

-4 + -4x = (-28 + -7x)

~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

-4 + 3x = -28

~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

~ Simplifying

x = -8

8 0
3 years ago
Read 2 more answers
benny had 266 dollars to spend on 9 books. After buying them he had 14 dollars. How much did each book cost?
Anastaziya [24]

Answer:

The books cost $28 dollars each.

Step-by-step explanation:

$266 - $14 = $252

then take $252 divided by 9 = $ 28

7 0
3 years ago
A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie
maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

                                                          = 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$\frac{60 \times 60}{100}= 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0
3 years ago
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