find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))​

[tex] \Large{\boxed{\sf x = 9}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 10 + \dfrac{x}{3} = 13 [/tex]

[tex] \\ [/tex]

Subtract 10 from both sides:

[tex] \sf 10 + \dfrac{x}{3} - 10 = 13 - 10 \\ \\ \sf \dfrac{x}{3} = 3 [/tex]

[tex] \\ [/tex]

Multiply both sides by 3:

[tex] \sf 3 \times \dfrac{x}{3} = 3 \times 3 \\ \\ \\ \boxed{\boxed{\sf x = 9}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

Step-by-step explanation:

In this question we have provided an equation that is 10 + X/3 = 13 . And we're asked to find the value of X .

Solution : -

[tex] \longmapsto \qquad \: 10 + \dfrac{X}{3} = 13[/tex]

Step 1 : Multiplying with 3 on both sides :

[tex]\longmapsto \qquad \:(10 + \dfrac{X}{3} ) \times 3=13\times3[/tex]

Now by using distributive property multiplying 3 with 10 as well as X/3 :

[tex] \longmapsto \qquad \: (10 \times 3) + ( \dfrac{X}{ \cancel{3}} \times \cancel{3}) = 13 \times 3[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: 30 + X = 39[/tex]

Step 2 : Subtracting with 30 on both sides :

[tex] \longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}[/tex]

Verifying : -

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

Therefore , our value for x is correct .

Answer:

x = the amount of money Jane had before she took out any

x - 135 = 650

x = 785

Step-by-step explanation:

Let x = the amount of money Jane had before she took out any

Set up the equation

x - 135 = 650

To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.

x - 135 = 650

x = 785

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Answer:

m(C)<m(B)<m(A).

Step-by-step explanation:

1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then

2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).

The list of the angles from smallest to largest are C, B and A.

Given that a triangle has side measurements represented in terms of the variable m, where m > 6.

AB = m - 2

BC = m + 4

AC = m

We need to list the angles from smallest to largest.

Since none of the sides are equal, therefore it is a scalene triangle.

Let us consider m = 6.

Then,

AB = m - 2

AB = 6 - 2

AB = 4

BC = m + 4

BC = 6+4

BC = 10

AC = m

AC = 6

It means that the longest side is BC, the medium side is AC and the shortest side is AB.

We know that the longest side of a triangle corresponds to the largest angle and vise versa.

Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

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Answer:

For all of these triangles apply the formula;

A = BH x 1/2

Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.

1.

Base = 9.1

Height = 31.2

Plug into formula:

A = BH x 1/2

A = 9.1(31.2) x 1/2

A = 283.92 x 1/2

A = 283.92/2

A = 141.96 square centimetres.

2.

Base = 5

Height = 3 3/4 which can be considered 3.75

Plug into formula:

A = BH x 1/2

A = 5(3.75) x 1/2

A = 18.75 x 1/2

A = 18.75/2

A = 9.375 square kilometres.

3.

Base = 2.4

Height = 3.2

Plug into formula:

A = BH x 1/2

A = 2.4(3.2) x 1/2

A = 7.68 x 1/2

A = 7.68/2

A = 3.84 square inches.

4.

Base = 11

Height = 60

Plug into formula:

A = BH x 1/2

A = 11(60) x 1/2

A = 660 x 1/2

A = 660/2

A = 330 square millimetres.

5.

Base = 10

Height = 13 1/2 which can be considered 13.5

Plug into formula:

A = BH x 1/2

A = 10(13.5) x 1/2

A = 135 x 1/2

A = 135/2

A = 67.5 square feet.

Answer:

1. 141.96 cm²

2. 9⅜ km²

3. 3.84 in

4. 10.39mm

5. 66.67 ft

Step-by-step explanation:

Formula of Area of Triangle : ½ × base × height

1. = ½ × 9.1 × 31.2

= 9.1 × 15.6

= 141.96 cm²

2. = ½ × 3¾ × 5

= ½ × 15/4 × 5

= 15/8 × 5

= 75/8 = 9⅜ km²

3. = ½ × 3.2 × 2.4

= 3.84 in

4. = tan c = AB/BC

c = tan -¹ (AB/BC)

c = tan -¹ (60/11)

c = 79.61

A = 90 - 79.61 = 10.39mm

5. = ½ × 13⅓ × 10ft

= 66.666 ≈ 66.67 ft

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Answer:

Step-by-step explanation:

Remark

You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.

Jump One

The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.

He lands 3 meters (1/2 the distance) from the edge.

Jump Two

He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.

Jump Three

The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.

Answer: 3/4 of a meter from the edge.

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

= 1 more than a number (a)

= q less than 9

= 3 times y added to 7

= a number (x) divided by 3 more than 9

= 3 times x added to 10

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

Answers:

============================================================

Explanation:

The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20

The perimeter is 20 inches.

This is the answer for blank 1.

This is the amount of fencing needed to enclose the pentagonal base.

-------------------------------

The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.

The diagram shows the slant height is 5.7 inches which is the answer for blank 2.

-------------------------------

LA = lateral surface area

The lateral area is the area of everything except for the base polygon.

Each triangle has a base of 4 inches and height 5.7 inches.

Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.

Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.

For each blank, you'll only enter the number itself of course.

The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.

Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

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Answer:

912

Step-by-step explanation:

number of girls :

[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]

number of boys :

1 200-288 = 912

Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

Answer:

all the above.

your welcome

Answer:

35%

Step-by-step explanation:

First, we add :)

25 + 35 + 40 = 100

Now we divide :)

35/100 = 0.35 = 35%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

30%

Step-by-step explanation:

You Do it

Answer:

3.25 x 10^-4

Step-by-step explanation: mark brainliest

Answer:

Step-by-step explanation:

draw a square and cut it from the top right corner to the bottom left corner it makes a triangle

+ - makes a minus

+ + make a plus

-- makes a plus

7.0 - 2.9 = 4.1

Hope this helps!

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

Answer: 45

Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

Answer:

Let x be the cost price.

Let y be the marked price

Gain = 20%

Then , sale price = 120/100 * x = 1.2x

Now , sale price is after 10% discount from marked price.

Hence , marked price, y = 1.2x/90 * 100 =

y * 0.9 = x * 1.2

Now, with 20% discount, sale price = y * 80/100 = 0.8y

Now, profit = 0.8y — x

Now, 0.8y — x = 350

0.8 * x * 1.2/0.9 — x = 350

1.0667x — x = 350

Hence, x = 350/0.0667= Rs.5250

Hence marked price = (5250 + 350) * 100/80 = Rs.7000

Answer:

I believe it is B

Step-by-step explanation:

it has somewhat some thing to do with the lines at BC it's had to put in words

The postulate or theorem can be used to prove that ΔABC ≅ ΔDCB is ASA.

The correct option is A.

Congruency is a concept in geometry that refers to the equality of shape and size between two or more geometric figures. When two figures are congruent, it means that they have exactly the same shape and size, and their corresponding sides and angles are equal.

In ΔABC and ΔDCB

<BAC= <BDC (given)

<BCA= <DBC(given)

CB = CB (common)

So, by ASA criteria ΔABC ≅ ΔDCB.

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Right angled triangle

Area:-

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}BH[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(2.4)(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 1.2(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

The answer is 274

Step-by-step explanation:

Now,

Definition of Variance:

So,

[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]

[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]

Thus, The variance of the sequence is 274.

Answer:

midine y=2

amplitude -3

period 5pie

Answer:

The answer is 2 and (-9)

Step-by-step explanation:

x² + 7x – 18 = 0

x² + 9x – 2x – 18 = 0

x(x + 9) – 2(x + 9) = 0

(x – 2) (x + 9) = 0

x = (2, -9)

Thus, The zeroes of the polynomial is 2 and (-9).

Answer:

15.8

I think there is a part of the question missing (the triangle is a right triangle)

hope this helps

+let me know if you need an explanation

Answer:

A is your answer.

Step-by-step explanation:

.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.