Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = 4/x
g(x) = 4/x

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

The coefficients are:-

-4,-6

Answer:

-4,-6

Step-by-step explanation:

coefficient is an integer that is multiplied with the variable of a single term or the terms of a polynomial

Answer:

C (if the sign after the digit 1,2,3,4 is not minus !!!)

Step-by-step explanation:

[tex]f(x)=3x+2\\\\g(x)=2x-1\\\\\\g^2(x)=(gog)(x)=g(g(x)=g(2x-1)=2(2x-1)-1=4x-2-1=4x-3\\\\\\if \ you\ means \ g(x)*g(x)\ then\\\\(g(x))^2=(2x-1)^2=4x^2-4x+1:\ answer \ C[/tex]

Answer:

8 / sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

8/3 sqrt(3) = BC

Answer:

0,1,2,3,4,5,6.......19,20

Step-by-step explanation:

in this interval 0 is included and 21 is not included. So starting from 0 up to 20, all are the solutions

Answer:

None, they are not similar.

You can tell by trying to match ratios with others.

55:42:36

(I put them least to greatest order because triangles cannot really like change only one sides' value, so it makes it visually easier to comprehend.

8:7:5

I can't see any possible way to relate these two ratios together.

The 5 cannot go into 36 anyhow, and like the 8 and 55. The 7 can be multiplied by 6 to get 42, but 5 and 8 cannot reach their own numbers.

Step-by-step explanation:

I shall accept every question from your profile >:)

That's the solution to that question

Answer: 83 degrees

Step-by-step explanation:

(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83

The completely factored expression of 5n²(2n − 3) + 10x(2n − 3) is (5n²+ 10x)(2n − 3)

The expression is given as:

10n³ − 15n² + 20xn² − 30xn

Factor out 5n² and 10xn in the expression

5n²(2n − 3) + 10x(2n − 3)

In (a), we have:

5n²(2n − 3) + 10x(2n − 3)

Factor out 2n - 3

(5n²+ 10x)(2n − 3)

Hence, the completely factored expression of 5n²(2n − 3) + 10x(2n − 3) is (5n²+ 10x)(2n − 3)

Read more about factored expressions at:

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Answer:

B

Step-by-step explanation:

Constant of proportionality can be calculated by two point slope formula, slope=(y2-y1)/(x2-x1)=(64-40)/(40-25)=24/15=8/5=1.6

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + 3x + 10x + 30 = 60      {Combine like terms}

x² + 13x + 30 - 60 = 0

x² + 13x - 30 = 0

Sum = 13

Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

x + 10 = 2 + 10 = 12

x + 3 = 2 + 3 = 5

Dimensions are 12 , 5

Answer:

i.) 66% of the earth is covered in water

ii.) 33% is continental

Step-by-step explanation:

[tex]\\ \bull\sf\longmapsto -9+(-4)=-9-4=-13[/tex]

[tex]\\ \bull\sf\longmapsto +3-(-5)=3+5=8[/tex]

[tex]\\ \bull\sf\longmapsto 2\times 2=4[/tex]

[tex]\\ \bull\sf\longmapsto 36+4=40[/tex]

[tex]\\ \bull\sf\longmapsto 5\times 7=35[/tex]

[tex]\\ \bull\sf\longmapsto 8(9)=72[/tex]

[tex]\\ \bull\sf\longmapsto -4+(-2)=-4-2=-6[/tex]

[tex]\\ \bull\sf\longmapsto 3-(-6)=3+6=9[/tex]

[tex]\\ \bull\sf\longmapsto -6(-3)=18[/tex]

[tex]\\ \bull\sf\longmapsto -4+(-4)=-4-4=-8[/tex]

[tex]\\ \bull\sf\longmapsto 5(7)=35[/tex]

[tex]\\ \bull\sf\longmapsto 4-(-5)=4+5=9[/tex]

[tex]\\ \bull\sf\longmapsto 4-3=1[/tex]

[tex]\\ \bull\sf\longmapsto 10+5=15[/tex]

[tex]\\ \bull\sf\longmapsto 3(8)=24[/tex]

Answer:

1. y=18

2. x=5

3. y=2

Step-by-step explanation:

y=2x

1.

As you have x, substitute (replace) x for 9 to find y.

2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).

So, y=18

2.

As we know that y=10, do the same thing and substitute.

10=2x

Isolate x by dividing:

10÷2=5

So, x=5

3.

Substitute x:

2×1=2

So, y=2

Hope this helps :)

Answer:

point M is the Orthocenter because it's in the middle of all the orthogonal axes.

Orthocenter describes point M.

The orthocenter of a triangle exists at the intersection of the triangle's three altitudes. It comprises several essential properties and relations with other regions of the triangle, including its circumcenter, incenter, area, and more.

There exists no direct formula to compute the orthocenter of the triangle. It lies inside for an acute and outside for an obtuse triangle. Altitudes exist nothing but the perpendicular line ( AD, BE, and CF ) from one side of the triangle ( either AB or BC or CA ) to the opposing vertex.

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.

To learn more about orthocenter refer to:

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Answer:

the watch is Rs 175

the radio is Rs 325

Step-by-step explanation:

x = price of the watch

y = price of the radio

x+y = 500

x + 150 = y

=>

x + (x+150) = 500

2x + 150 = 500

2x = 350

x = 175

=>

y = 175 + 150 = 325

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

[tex]\boxed{x=\frac{5}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

2x^2 + 6x = 2x^2 + 15

2x^2-2x^2+6x=15

6x = 15

x= 5/2 when simplified

Answer:

$855,000

Step-by-step explanation:

$855,000 it's alot of money.

I helped you a lot... I'm sure you will pass

Answer:

[tex]{ \sf{ \underline{it \: is \: \frac{2}{7} }}}[/tex]

Step-by-step explanation:

[tex] = \frac{7}{7} - \frac{5}{7} \\ \\ = \frac{2}{7} [/tex]

Answer:

B

Step-by-step explanation:

8 yards = 3 * 8 = 24 ft^2

1 mile = 5280

3*3 = 9 square feet

9 square feet holds 9 people.

1 square foot holds 1 person

8*3 * 5280 people could stand in an area of 8 yards * 1 mile

Though it's not quite correct, the answer is B

Answer:

1. irrational (it's pi. pi goes on forever.)

2. irrational (the ... shows that the number goes on forever.)

3. rational (it is a regular integer)

4. rational (it would be negative 3, an integer.)

5. real, irrational (square root 6 goes on forever, like every non-perfect square root)

6. real, rational, integer, natural, whole (regular counting number)

7. real, rational, integer, natural, whole (regular counting number, 4)

8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)

brainliest is very much appreciated!

Answer:

Hope it helps

Step-by-step explanation:

a)= 1 grade = 9/10 degree

150 = 9/10 × 150 degree

= 135 degree

b ) = solution

x+3 = 6

so, x = 3

y = 4

c) = let the unknown angle be x

now,

converting 60 grades into degree

= 60×9/10

= 54°

now

54° + 90° + x = 180°

144°-180° = -x

so, x = 36°

Answer:

b = 19.2

Step-by-step explanation:

9.6 = ½b

=> 9.6 × (2/1) = b

=> 9.6 × 2 = b

=> 19.2 = b

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

Answer:

13 and 39

Step-by-step explanation:

The sum of two numbers = 52

One number is 3 times as large as the other

Equation:

x + 3x = 52

4x = 52

52 / 4 = x

x = 13

13 * 3 = 39

The numbers are 13 and 39

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

real numbers, integers, rational numbers

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

Explanation:

So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.

So that's why -12 is a real number.

Choice A is one of the answers

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

The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values

{..., -3, -2, -1, 0, 1, 2, 3, ...}

That makes -12 an integer

Choice C is one of the answers

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

The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1

This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.

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

We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.

The requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Here,

Only sets that consist of negative values are, real numbers, integers, and rational numbers.

So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.

Thus, the requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

Learn more about the number system here:

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Answer:

$198

Step-by-step explanation:

Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)

and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer

[tex]\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3[/tex]

[tex]\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3[/tex]

[tex]\\ \sf\dashrightarrow -8-1+4+1+3[/tex]

[tex]\\ \sf\dashrightarrow -9+8[/tex]

[tex]\\ \sf\dashrightarrow -1[/tex]

Answer: -1

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -2

y = 1

Given expression

x³ - y³ + x² + y² + 3

Substitute values into the expression

=(-2)³ - (1)³ + (-2)² + (1)² + 3

Simplify exponents

=-8 - 1 + 4 + 1 + 3

Simplify by simple operation (addition/subtraction)

=-9 + 4 + 1 + 3

=-5 + 1 + 3

=-4 + 3

=[tex]\boxed {-1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.