Solve the following equation (x-4)^2=7

The equations to solve the length of the room is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

c) ( y + 25 ) ( y - 30 ) = 0

Given data ,

Let the area of a rectangular room is 750 square feet.

Let the width of the room is 5 feet less than the length of the room

So , on simplifying , we get

w = l - 5

Area of rectangle = length x width

And , A = l x w

A = l ( l - 5 )

750 = y ( y - 5 )

Therefore , the equation is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

On simplifying the quadratic equation , we get

c) ( y + 25 ) ( y - 30 ) = 0

Hence , the length of the rectangular room is solved

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The complete question is attached below :

Which equations can be used to solve for y, the length of the room? Select three options.

a) y(y + 5) = 750

b) y² – 5y = 750

c) 750 – y(y – 5) = 0

d) y(y – 5) + 750 = 0

e) (y + 25)(y – 30) = 0

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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Solution:

The number is given below as

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form

Concept:

count the number from the last number and then stop in front of the first number 6 and then multiply in powers of 10

The general form of a scientific notation is given below as

By applying the concept, we will have

Hence,

The final answer is

Answer:

62 is the answer

Step-by-step explanation:

Hope that helps!

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

28.4

Step-by-step explanation:

Add 5.5 to both sides.

x - 5.5+5.5 cancels out the -5.5 to get x.

x = 22.9+5.5

x=28.4

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Step-by-step explanation:

a great time lol....

an enjoying time with pizza...yummm...lol

There are two outcomes...

Either Piczle (sounds like pixel)

or

Pizcle

Answer:

25.3333333

Step-by-step explanation:

Answer: 25.33

Step-by-step explanation:

First yo divide -456 / -18

Last is the result (what you get): 25.33

The answer is A.

Hope this helps! can i have brainliest lol

Answer:

a

Step-by-step explanation:

Answer:

X=19

Step-by-step explanation:

7x-8=6x+11

x=19

x²/6 - 2x + 6

I am not too sure but I hope that this helps

Answer:

17

Step-by-step explanation:

∠CDE is a 90 degree's, and it splits, because ∠CZB said that it is 39 degrees, thus meaning that the degree of ∠BZD=51, and x=17, because 17*3=51.

I know this will be helpful to you  

volume = length x width x height

volume = 5m x 6m x 3m = 90 m³

The distribution of x is a continuous probability distribution. This could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

1. A random variable is a variable whose values can be randomly selected from a given set.

2. A cumulative distribution function (CDF) is a function that gives the probability that a random variable takes on a value less than or equal to a given value.

3. A strictly increasing CDF means that for any two values of the random variable, if one value is greater than the other, then the probability of the larger value is greater than the probability of the smaller value.

4. A continuous CDF means that the CDF does not have any jumps or discontinuities.

5. Therefore, the distribution of the random variable x is a continuous probability distribution, which could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

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Answer:

Step-by-step explanation:

\(\frac{x}{y} 6x+58\\(x+3)(x+8)\\\)

Answer:

Option B

Step-by-step explanation:

First term of the given arithmetic sequence 'a' = -3

Common difference in each successive term 'd' = -8 - (-3)

                                                                             d = -5

Explicit formula for an arithmetic sequence will be,

\(A_n=a+(n-1)d\)

Here, n = number of term

\(A_n\) = nth term of the sequence

\(A_n=(-3)+(n-1)(-5)\)

For n = 23,

\(A_{23}\) = -3 + (23 - 1)(-5)

     = -3 - 110

     = -113

Option B is the answer.

Answer:

$4.05

Step-by-step explanation:

45 x 9 = 4.05

The score on A can be used to predict the score on B

The correct option is (b).

"Information available from the question"

In the question:

If A and B are highly correlated, which statement MOST accurately describes the relationship between A and B?

Choose the correct answer.

Now, According to the question:

Let's know:

What is Highly Correlated?

Correlation coefficients whose magnitude are between 0.9 and 1.0 indicate variables which can be considered very highly correlated. Correlation coefficients whose magnitude are between 0.7 and 0.9 indicate variables which can be considered highly correlated.

According the above statement is:

The score on A can be used to predict the score on B

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Hi there!

~

\(9\frac{5}{8} = 962.5%\)

We know that \(\frac{5}{8}\) is the same as \(5\) ÷ \(8\) Therefore: \(9\frac{5}{8} = 9 + ( 5\) ÷ \(8)\)

Then using Long Division for 5 divided by 8

we have

\(= 9 + 0.625 = 9.625\)

Converting our number to a percentage:

9.625 x 100

= 9.625.5%

Hope this helped you!

The value of C is 108°

Given \(a=33,\ \ b=26, \ \ \angle B=31^0 .\)

We have to find \(\angle C, \ \angle A \ and\ c\)

We can use the cosine formula to find these:

\(cosB=\frac{a^2+c^2-b^2}{2ac}\\cos31^o=\frac{33^2+c^2-26^2}{2(33)(c)}\\0.8572=\frac{413+c^2}{66c}\\56.5752c=413+c^2\\i.e. c^2-56.5752c+413=0\\\Rightarrow c=47.9647, \ 8.6104\\So, \mathbf{c=48 \ or \ c=9}\\Now if c=48:\\cosA=\frac{b^2+c^2-a^2}{2bc}\\=\frac{26^2+48^2-33^2}{2(26)(48)}\\\)

\(=\frac{1891}{2496}\\=0.75761\\\therefore A=cos^{-1}(0.75761)=40.746^0\approx 41^0\\i.e. \mathbf{\angle A= 41^0}\\cosC=\frac{a^2+b^2-c^2}{2ab}\\=\frac{33^2+26^2-48^2}{2(33)(26)}\\=\frac{-539}{1716}\\=-0.3141\\\therefore C=cos^{-1}(-0.3141)=108.306^0\approx 108^0\)

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Answer:

Here's a graph to help you solve this answer:

Answer:

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

The ratios are valid only in right triangles, or when one of the internal angles is 90°.

Take any of the acute angles as a reference, and the largest side as the hypotenuse, then:

\(\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}\)

\(\displaystyle csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}\)

\(\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

The missing side of the triangle x can be calculated by using Pythagora's Theorem:

\(10^2=9^2+x^2\)

Solving:

\(x^2=10^2-9^2=100-81=19\)

\(x=\sqrt{19}\)

For the angle marked as θ:

\(\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

\(\displaystyle \tan\theta=\frac{\text{9}}{\sqrt{19}}\)

Rationalizing:

\(\displaystyle \tan\theta=\frac{9\sqrt{19}}{19}\)

\(\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}\)

\(\displaystyle \cos\theta=\frac{\sqrt{19} }{10}\)

\(\displaystyle \csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}\)

\(\displaystyle \csc\theta=\frac{10}{9}\)

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer:

(2,3.5)

Step-by-step explanation:

B=(1,2)

A=(3,5)

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

There will be 35 members of the Toledo Automotive Metro from such reports

The Organization of Distributors. The membership is sequentially numbered between 00 and 34.

The five traders selected a random sample as follows:

\(34, 32, 39, 94, 25, 71, 71, 13, 52, 39, 19, 67\)

The decision should be made in 00 and 34.

In this the remaining numbers 39, 94,. . . . .67 were not chosen because it is beyond the ranges that are 00-34.

The samples contain 34, 32, 25, 13, and 19 distributors.

Answer: 3628800

Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.

Hope it helped!

Answer:

\(1,814,400\)

Step-by-step explanation:

The number of ways to arrange a word with \(d\) distinct digits is each to \(d!\). Since there are 10 letters, there are \(10!\) permutations initially formed.

However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide \(10!\) by the number of ways you can arrange the 2 S's, which is simply \(2!\). Therefore, our answer is:

\(\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}\)

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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