What are the solutions of each equation? Check your answers.

(b) ln (3 x+5)²=4

The polynomial that cannot be factored in the real number system is x²+4.

Factorization or factoring in mathematics is the process of expressing a number or other mathematical object as the sum of many factors, which are often smaller or simpler objects of the same type. For instance, the polynomial x² - 4 and the integer 15 can both be factored by the number 3×5.

By checking options

option a x²-3x+2 can be factorized as (x-2)(x-1) by using the sum and product rule.

option b x² +4 cannot be factorized.

option c 4x²-1 can be factorized by using property a²-b²=(a-b)(a+b)

             as (2x-1)(2x+1)

option d  2 x² y-2 x y² can be factored by treating x and y as being equivalent to -2xy(x-y)

Therefore, the polynomial that cannot be factored in the real number system is x²+4.

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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:

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: 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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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:

They are conguent.

Step-by-step explanation:

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:

D. 3/2

Step-by-step explanation:

You can see the graph is going up, so that eliminates A. and C. as they are both negative. Next, you can see that according to the graph, the line goes up 6 for every 4 to the right, so the equation is 6/4 which simplifies to 3/2.

Answer:

The Answer is D 3/2

Step-by-step explanation:

Hope this Helps!!!

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 area that can be watered by the pipe of length 500 inches is approximately 18.03 square yards, when the length of the pipe is 800 inches the area watered is approximately 46.16 square yards and when the length of pipe is 1300 inches the area watered is approximately 121.89 square yards as calculated by the given function.

A function is defined as a relation between the dependent variable and the independent variable.

The length of the pipe is given by the function L=117.75√A where A is the area of the lawn that can be watered.

Now to calculate the area that can be watered using a particular length of pipe we have to find the inverse of the given function.

Given L=117.75√A

Squaring both sides we get

L²=13865.0625 × A

or , A=L²÷13865.0625

Now given length L=500 inches

Substituting the values we get:

A=(500)²÷13865.0625

A=18.0309...

A≈18.03 square yards

Hence the area that can be watered is approximately 64.68 square yards.

Similarly for length 800 inches

Area watered= (800)²÷13865.0625=46.159 square yards.

≈46.16 square yards

Similarly for length 1300 inches

Area watered=1300²÷13865.0625=121.889 square yards

≈121.89 square yards

Therefore the area that can be watered by the pipe of length 500 inches is approximately 18.03 square yards, when the length of the pipe is 800 inches the area watered is 46.16 square yards and when the length of pipe is 1300 inches the area watered is 121.89 square yards.

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Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

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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The area of a rectangular flower garden is 25/16

the area of the rectangular garden is =length x width

 given,

length=5/8

width=2 1/2

area = l x b

       =5/8 x 2 1/2

        = 25/16

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Area is the amount of space that a flat, 2D object takes up. Area is measured in square units, like square feet or square meters.

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The area of a rectangular flower garden is 25/16 .

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

To find the area of a rectangle, multiply its height by its width.

The area of the rectangular garden is =length x width

Given that: length=5/8

width=2 1/2

Area = l x b

        =5/8 x 2 1/2

        = 25/16

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Answer:

Step-by-step explanation:

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

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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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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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 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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Based on the advertisement seen by Dazuri, the cost of each soccer ball is $22.50

The advertisement says that the original cost of the ball is $30 but there is a 25% discount.

The price of each soccer ball is therefore reduced by the 25% discount on the ball.

The amount that each soccer ball costs is therefore:
= 30 - ( 30 x 25%)

= 30 - 7.5

= $22.50

Rest of the question is:
Soccer balls on sale at a 25% discount. Prices go back to $30 in a week. Don't miss out.

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Answer:

4953

Step-by-step explanation:

- - =+

771+4182=4953

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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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:

[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

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: y = -1/2

Step-by-step explanation:

Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.  

3x+4y=4                  3x+4y=4  

2x-4y=6     ----->  (-) 2x-4y=6

For the x value, you would get 2. 5x=10 therefore x=2.

Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.

3x+4y=4   --->  3(2)+4y=4

3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.

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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