If f(x)=x+1 and g(x)=x²-3 x-4 , what is (f ⁰ g)(x) ?
(F) x²-3 x-3 (G) x²-x-6 (H) x²-x (I) x²-x-3

The value of x in the angles is 14.

When parallel lines are cut by a transversal, angle relationships are formed.

The angle relationships that are formed includes corresponding angles, alternate angles, vertical angle etc.

Therefore, the value of x can be found as follows;

m∠1 = m∠7 (vertical angles)

Therefore,

m∠7 = m∠15(corresponding angles)

Hence,

m∠1 = m∠15

m∠1 = 8x - 4

m∠15 = 6x + 24

Therefore,

8x - 4 = 6x + 24

8x - 6x = 24 + 4

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

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Answer: 16.7901

Step-by-step explanation: when dividing decimals, you need to make the divisor a whole number.
So, in this case you move the decimal point on 0.081 until it is a whole number.
then it would be 81 after moving the point 3 times to the right.

Now to make it even, you need to move the decimal point on 1.36: 3 times. You will then get: 1,360 divided by 81

And add back the decimal point once you divide.

The inverse function returns the original value for which the output of a function was given.

The inverse of the function f(x) = (x - 4)² is f(x) = √x - 4

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.

Consider F(x) = y,

The x and y value is switched giving the necessary equation of

x = (y - 4)²

Then solve for y

√x = y - 4

simplifying the above equation, we get

y = √x - 4

The domain of the expression is all real numbers except where the expression is undefined, In this case, there are no real numbers that make the expression undefined.

Interval Notation: (-∞,∞)

Set-Builder Notation: {x| x ∈ R}

The range is the set of all valid y values, use the graph to find the range

Interval Notation: [0,∞)

Set-Builder Notation: {y| y ≥ 0}

The domain and range be

Domain: (-∞,∞) {x| x ∈ R}

Range: [0,∞) {y| y ≥ 0}

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Answer:

They are conguent.

Step-by-step explanation:

Since their dot product is not equal to zero, then vectors (1,8) and (4, -2) are not normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (1,8) and (4, -2).

Let u = (1, 8) and  v = (4, -2), then,

u . v = 1 . 4 + 8 . (-2)

       = 4 + (-16) = -12 (not equal to zero)

Since u.v ≠ 0, then (1,8) and (4, -2) are not normal to each other.

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The first 4 terms of the geometric sequence are 12 , 36 , 108 and 324.

In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.

The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .

Given the first term of the geometric sequence is 12 .

And given [tex]a_n=a_{n-1}\times 3[/tex]

Now using the above formula:

a₂ = a₁ × 3

or, a₂ = 12 × 3 = 36

Again using the above formula:

a₃ = a₂ × 3

or, a₃ = 36×3 = 108

Similarly

a₄ = a₃ × 3

or, a₄ = 108 × 3 = 324

Hence the first four terms of the geometric sequence are 12 , 36 , 108 and 324 .

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The point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

We need to first rotate the point 90° counterclockwise around the origin.

Let the point be (x, y)

When rotating a point 90° counterclockwise about the origin, the coordinate of the point (x, y) will become (-y, x). In other words, x and y will be switched and y will become negative.

Now, we need to translate the point 17 units right.

So, it means that the x - coordinate of the point will become x + 17

So, the point now becomes:

( -y , x ) = ( - y + 17 , x)

(17 - y, x)

Now we have to translate the point 12 units up.

So, we get that:

(17 - y, x + 12)

Therefore, the point after all the rotation and translation will become (17 - y, x + 12) from (x, y).

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An equation for the total cost is TC = 1500 + 5x

In this question, a canteen has fixed cost of $1500 per week.

A meal costs $5 each are sold at a fixed price of $9 each.

We need to write the equation for the total cost.

Let x be the number of individuals.

Let TC represents the total cost.

So, an equation for the total cost would be,

TC = 1500 + 5x

Therefore, an equation for the total cost is TC = 1500 + 5x

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Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

Answer: The answer is -9

Step-by-step explanation: so the equation is 16+56/2^3-17. First we multiply 2^3 which makes 8 and now we have 16+56/8-17 and then continue with addition and subtraction were left with 72/-9 then we divide it and were left with -8 as our total!

Hoped this helped! C:

The value of the expression is 6.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

16 + 56 ÷ 2³ - 17

Applying PEMDAS.

= 16 + 56 ÷ 8 - 17

= 16 + 56/8 - 17

= 16 + 7 - 17

= 16 - 10

= 6

Thus,

The value of the expression is 6.

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.0000.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 5³x = 125

As given equation is 5³x = 125      —- 1

We know that 5³ = 125

So, equation 1 becomes,

125x = 125

x = 1

Hence, the solution of the given equation in nearest ten thousandth is 1.0000.

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Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Ana forgot to do prime factorisation of [tex]\sqrt{27}[/tex] and bring out one three from the pair of square root of 3.

Answer: she used 3 as the denominator and 17 as the numerator and/or she didn't make it a fraction which would make the correct answer be 3/27=1/9

Step-by-step explanation:hope it helps, brainliest? i could really use it

The inverse of function y = x² / 5 is y = √5x.

given that the function is y = x² / 5

A function that can reverse into another function is known as an inverse function or anti function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.

[tex]x = \frac{ {y}^{2} }{5} \\ 5x = {y}^{2} \\ y = \sqrt{5x} [/tex]

Hence, the inverse of function y = x² / 5 is y = √5x.

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Answer:

C. <3 and<4

Step-by-step explanation:

Complementary angles are angles whose two angles make the sum 90°.

Guess bestie slay you'll do great!

Answer:

An equivalent Fraction is obtained by multiplying both the numerator and denominator of the given fraction by the same number.

Step-by-step explanation:

So, the Equivalent Fraction of 2/5 = 4/10, 6/15, 8/40. An equivalent Fraction is obtained by dividing both the numerator and denominator of the given fraction by the same number.

Answer:

Ballio's goal is to read 23 books.

Step-by-step explanation:

9+9+9=27

27-4=23

27

9 9 9            (9x3=27)

31                 (27+4)

27 4

23                (27-4)

Brainlist Pls!

Answer:

Step-by-step explanation:

I cannot tell which points are which. We need a clearer picture if you do not mind

Answer:

Red or blue crayon - 11/16

Step-by-step explanation:

Red crayon - 9/16

Blue crayon - 2/16

Red or blue crayon - 11/16

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

The inequality expression is given as

-2x - 3 ≤ 11

Add 3 to both sides of the inequality

So, we have:

-2x ≤ 14

Divide through the inequality by -2

So, we have

x ≥ - 7

The above means that all numbers from -7 (inclusive) are in the solution

Hence, the numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

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The value of the composite function (h⁰ g)(x) calculated by  function operation is  -x-10 .

A function is defined as the relation between element of two sets, domain and range. A function is usually denoted using f, g or h .

A algebraic function is defined as y=g(x) such that each element y is related to a single value of x.

(h ∘ g)(x) is also written as h[g(x)] is called a composite function where which means the value of x=g(x) will be substituted in the function h(x).

Composite function is a process that joins two functions to create a third, unique function.

The output of one function becomes the input of another function in h of g of x.

Given functions are:

g(x)=1/2 x+7  and h(x)=-2 x+4

Therefore (h ∘ g)(x)=h[g(x)]

=h(1/2 x+7)

=-2(1/2 x+7)+4

=-x-14+4

=-x-10

Hence the value of the function operation  (h⁰ g)(x) is  -x-10 .

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Riley needs 18 rooms for 72 puppies.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Riley works for puppy shelter moving to a new building.

The rooms in the new building are built to hold 4 puppies each.

Now, There are 1 room for 4 puppies.

Number of room for 4 puppies = 1

Hence, Number of room's for 72 puppies = 1/4 × 72

                                                                 = 72/4

                                                                 = 18

So, Riley needs 18 rooms for 72 puppies.

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Answer:

yessssssssssss

Step-by-step explanation:

omg this is so easy why would u even feel the need to ask such simple question just use ur caluculator

Answer:

  138, 139

Step-by-step explanation:

You want the consecutive page numbers whose total is 277.

Consecutive integers differ by 1. If the lesser of two consecutive integers is represented by x, then the next one is (x+1). The sum of these two integers will be ...

  x + (x +1) = 2x +1

We want to find the numbers whose sum is 277:

  2x +1 = 277

  2x = 276

  x = 138

  x+1 = 139

The two page numbers are 138, 139.

__

Additional comment

It is customary for the odd page number to be on the right when the book is open. Fortunately, this problem makes that be the case.

Therefore, two page numbers are 138, 139 of a left and right page numbers of an open book are two consecutive integers whose sum is 277.

Positive numbers, negative numbers, and zero are examples of integers. 'Integer' is a Latin word that means 'complete' or 'completely'. This means that integers exclude fractions and decimals. In this article, we'll learn more about integers, their definition, and their properties.

All whole numbers & negative numbers are considered integers. This means that if we combine negative and whole numbers, we get a set of integers.

The difference between two consecutive integers is 1. The following integer is (x+1) if x is the lesser of two subsequent integers. These two integers' sum will be

x + (x +1) = 2x +1

So for 277 the equation will be

⇒  2x +1 = 277

⇒  2x = 276

⇒  x = 138

⇒  x+1 = 139

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