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3 years ago

Find the inverse function y=-5x+20

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

$y= \frac{-1}{5} x +4$

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

$y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\$

$\frac{y}{-5}-\frac{20}{-5} = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x$

And now we change the variables and we get the inverse function:

$y= \frac{-1}{5} x +4$

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In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line w

Mrrafil [7]

The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.

<h3>What is the equation of a line passing through two points?</h3>

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

$\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)$

In MODE, (second line), fix the number of decimal places to be 2.

Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.

(x₁, y₁) → (1997, 1093)

(x₂, y₂) → (2002, 1553)

Then we have

y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)

y – 1093 = [460 / 5] (x – 1997)

y – 1093 = 92 (x – 1997)

y = 92x – 182631

If x = 2010, then the value of y will be

y = 92 × 2010 – 182631

y = 184920 – 192631

y = 2289

Learn more about straight-line equations here:

brainly.com/question/380976

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6 0

2 years ago

A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime

ASHA 777 [7]

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2 = 7 cm

The volume of the hemisphere is calculated as;

$V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3$

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

4 0

3 years ago

the venn diagram represents the results of a survey that asked participants whether they would want a rabbit or a snake as a pet

rosijanka [135]

For this case we will complete the table part by part.
We have then:

First row:
Snake = Rabbit = 4
Rabbit = Not Snake = 18
Total = 4 + 18 = 22

Second row:
Not rabbit = Snake = 11
Not rabbit = Not Snake = 26
Total = 11 + 26 = 37

Third row:
Total = 4 + 11 = 15
Total = 18 + 26 = 44
Total = 59

3 0

4 years ago

Read 2 more answers

Find the measures of an interior angle and an exterior angle of a regular hexagonhexagon.

katen-ka-za [31]

Answer:

An exterior angle=60°

An interior angle=120°

Step-by-step explanation:

Hexagon has 6 sides

Each exterior angle=360➗number of sides

Each exterior angle=360 ➗ 6

Each exterior angle=60°

Each interior angle=180-60

Each interior angle=120°

3 0

4 years ago

Help.. or die.. you decide.

Studentka2010 [4]

Answer:

<u>Problem 1:</u>

x = 12 unit ; y = 120 ; z = 60 ; perimeter = 58 unit

<u>Problem 2:</u>

FG = 16 unit ; EG = 2√153 unit ; y = 5 unit

Step-by-step explanation:

<u>Problem 1</u>

Since ABCD is a parallelogram. so,

∠ABC = ∠ADC [Since opposite angles of a parallelogram are equal]

but, ∠ADC = 120° [given]------------(1)

So, ∠ ABC = y° = 120° ----------------(2)

Again, sum of two consecutive angles of a parallelogram is, 180°, so,

∠BCD + ∠ADC = 180°

So, ∠BCD =z° = 180° - 120° = 60° [Putting the value of ∠ADC from (1)]-----(3)

Again, since opposite sides of a parallelogram are equal,

so, BC = AD

⇒ (x + 5) = 17

⇒ x = 12------------------------(4)

So, AB = 12 unit , AD = 17 unit

So, the perimeter of the parallelogram is given by,

2(AB + AD)

= $2 \times (12 + 17)$ unit

= 58 unit --------------------------------------------------------------(5)

<u>Problem 2</u>

Perimeter of parallelogram EFGH = 52 unit

So, 2(EH + GH) = 52 unit

⇒ 2 ( x + x + 6) = 52

⇒ 4x = 40

⇒ x = 10

Now, FG = EH [since opposite sides of a parallelogram are equal]

= (x + 6) unit

= (10 + 6) unit = 16 unit ------------------------------(1)

Again for a parallelogram, the diagonals bisect each other.

so, EG = $2 \times \sqrt{153}$

= 2√153 unit -----------------------------------------(2)

and,

3y - 10 = y

⇒ y = 5 -----------------------------------------------(3)

5 0

3 years ago