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Allisa [31]
2 years ago
11

Find the inverse of each of the given functions.

Mathematics
2 answers:
Leona [35]2 years ago
6 0

Answer:

The inverse of the function is (3x+4)/2

Step-by-step explanation:

To find the inverse, exchange x and y and then solve for y

y = (2x-4) /3

Exchange x and y

x = (2y-4)/3

Solve for y

Multiply each side by 3

3x = (2y-4)/3 *3

3x =2y-4

Ad 4 to each side

3x+4 = 2y-4+4

(3x+4) =2y

Divide each side by 2

(3x+4)/2 =2y/2

(3x+4)/2 = y

The inverse of the function is (3x+4)/2

vladimir1956 [14]2 years ago
6 0

Answer:

first one on edg-

1/4, 3

Step-by-step explanation:

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
Which of these points will lie on quadrant II of a coordinate plane?
saveliy_v [14]

Answer:

B. D (-4, 3)

Step-by-step explanation:

In quadrant II x value is -ve and y value is positive.

7 0
2 years ago
Bob &amp; Edith's Diner always has two types of pie on the dessert menu. Bob and
Delvig [45]

Answer: B&E

The answer is b and c I hope dat help

4 0
3 years ago
Read 2 more answers
The scale of a map uses 10 cm for 30 km.<br> How many centimeters does it use for 9 km?<br> +
xxTIMURxx [149]

Answer:

3 km

Step-by-step explanation:

30 divided by 10 is 3.

9 divided by 3 is 3.

Therefore, your answer is 3.

8 0
2 years ago
Use synthetic division to find the result when 3x^3 + 13x^2 + x – 12 is divided by<br> X + 4.
IgorC [24]

Answer:

3x² + x - 3

Step-by-step explanation:

The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division

Pretend the square root of the division symbol

-4 √ 3 12 1 -12

Quick note: We're dividing by -4 because we're dividing by x + 4

First bring down the 3

-4 √ 3 13 1 -12

      3

Multiply it by 4 then bring add it to the next number

-4 √ 3 13 1 -12

          -12

       3   1

Add that number to the next one

-4 √ 3 13 1 -12

        -12 -4

      3    1   -3

Finally repeat the step for the last number

-4 √ 3 13 1 -12

       3 -12 -4 +12

       3    1   -3   0

Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on

3x² + 1x - 3

8 0
2 years ago
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