(Lesson 5: Equations and Their Graph Discussion)
In general, how can a graph help us find solutions to two-variable equations?

plane's average change of altitude per minute 0.35 miles descended per minute.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute and it is to find the plane's average change of altitude per minute and to find that we divide 0.14 miles with 0.4 minutes it will give us the descended  

passenger-jet pilot does in a minute that is plane's average change of altitude :

In 0.4 minute  = 0.14 miles descended

In 1 minute = 0.14/0.4 miles descended

In 1 minute = 0.35 miles descended

Therefore, plane's average change of altitude per minute 0.35 miles descended per minute.

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Answer:

C.

Step-by-step explanation:

C describes theta moving +5 units. In math, negative goes left, negative goes left. However, since there are no negative values involved, we can assume that theta will move 5 units to the left in terms of absolute value, which excludes the need for the negative to be moved left. Therefore, the answer is C due to this change.

I hope this helps, let me know if anything confuses you, and I will try my best to make it less confusing.

Let's solve the problem,

→ [(2 + 2) - (6 - 2)] ÷ 2

→ (4 - 4) ÷ 2

→ 0 ÷ 2 = 0

Thus, the answer is 0.

Answer:

Step-by-step explanation:

2.10$

your answer is 2.10$

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. (9 - 2x)⁵ is expanded as 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.

The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x + y)⁷. The larger the power is, the harder it is to expand expressions like this directly.

The total number of terms in the expansion of (x+y)ⁿ are (n+1).

The sum of exponents of x and y is always n.

nC₀, nC₁, nC₂, … .., nCₙ are called binomial coefficients and also represented by C₀, C₁, C₂, ….., Cₙ

The binomial coefficients which are equidistant from the beginning and from the ending are equal.

i.e. nC₀ = nCₙ, nC₁ = nCₙ₋₁ , nC₂ = nCₙ₋₂ ,….. etc.

Let the function be (9 - 2x)⁵

By using binomial expansion theorem, we get

(9 - 2x)⁵ = 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.

(9 - 2x)⁵ is expanded as 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.

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Answer:

x= 7

Step-by-step explanation:

 3 × 7 =21

The probability that at least one of them is defective if three units are picked at random is 0.8560.

We would define Ai as the event that the i th chosen unit is not defective, for I = 1, 2, 3. We are interested in P (A1 ∩ A2 ∩ A3). Note that

P(A1) = 95/100  

Given that the first chosen item was good, the second item will be chosen from 94 good units and 5 defective units, thus

P (A2 ∣ A1) = 94/99

Given that the first and second chosen items were okay, the third item will be chosen from 93 good units and 5 defective units, thus

P (A3∣ A2, A1) = 93/98

Thus, we have

P(A1∩ A2 ∩ A3) =  P(A1) P(A2∣ A1) P(A3∣ A2, A1)

=95/100*94/99*93/98

=0.8560

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Use the identity a^2-b^2 = (a+b)(a-b) to factor 16a^2 - 9b^2. The two terms are perfect square thus find a and b by taking the square roots. Complete the factoring of a^2 - b^2

16a^2−9b^2

a=√16a^2=4a

b=√9b^2=3b

a^2−b^2=(4a)^2−(3b)^2

Substitute: a^2-b^2 = (a+b)(a-b)

(4a+3b)(4a−3b)

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Answer:

number 0

Step-by-step explanation:

The identity property of addition states that when zero is added to any real number, the number does not change. Thus, the number "0" is called the additive identity of a matrix.

Answer:

Step-by-step explanation:

ok so go on a new tab and put if I  earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money do you need to earn? easy. -5 start pls-

Answer: 31.4

Step-by-step explanation:

the four is in the tenth place and we are rounding to that place.

The given decimal number is rounded to the nearest tenth as 31.4.

The given decimal number is 31.4.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Here, in 31.40 digit in the hundredths place is 0, which is less than 5.

So, the digit in the tens place remain same and digits after tens place becomes zero.

That is, 31.4

Therefore, the given decimal number is rounded to the nearest tenth as 31.4.

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Answer:

The answer is n-p

Please mark me brainalist !

Answer:

5a+2b+10

Step-by-step explanation:

Let's simplify step-by-step.

a(6−1)+3b−b(2−1)+10

=5a+3b+−b+10

Combine Like Terms:

=5a+3b+−b+10

=(5a)+(3b+−b)+(10)

=5a+2b+10

Answer:

5:25pm

Step-by-step explanation:

4.15 + 1.10 = 5.25

Answer:

your answer would be b ( 6 )

Step-by-step explanation:

Answer:

B) 6

Step-by-step explanation:

[tex]{ \tt{ {(k - 2)x}^{2} - 6x + 12 = 0}} \\ \\ { \tt{ {x}^{2} - \: ( \frac{6}{k - 2})x \: + \: \frac{12}{k - 2} = 0 }}[/tex]

Product of roots: 12/(k-2)

[tex]{ \tt{ \frac{12}{k - 2} = 3 }} \\ \\ { \tt{3(k - 2) = 12}} \\ \\ { \tt{ \frac{3(k - 2)}{3} = \frac{12}{3} }} \\ \\ { \tt{k - 2 = 4}} \\ \\ { \tt{k = 6}}[/tex]

Completing the Automatic grading is used for empty questions. If a student's response corresponds to the right response you give, you will receive credit for that answer. The technique you use to assess the responses is up to you.

100% exact

Comprised comprises a portion of the right response

meets the criteria you define for a pattern

Enter your query in text form, then enclose the response in brackets. To format the text and add formulas, files, photos, and links, utilize the editor's formatting options.

Using a semicolon, divide several right responses.

Example: Red, blue, and yellow are three examples of primary colors.

A regular expression might also be used. Each blank will only accept one expression at a time. Remember to enclose both the regular expression and the solution in brackets.

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The set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}

From the question, we are to determine the set of numbers that are integers but not whole numbers or natural numbers

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. E.g -5, -13, 5, 0, -3, 78, 15, etc

Whole numbers is a collection of all the basic counting numbers and 0. E.g 0, 1, 2, 3, 4, 5 etc

Natural numbers are the numbers that start from 1 and end at infinity. E.g 1, 2, 3, 4, 5, 6, etc

Hence, the set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}

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The variable terms in all four expression indicates that the item was on 25% off.

The expressions with more terms indicate a different sale price than the expressions with fewer terms.

The constant term in each expression indicates the original price of the item Mrs. Brady purchased.

The constant term in each expression indicates that the sale price is not dependent on the original price of the item.

The constant term in each expression indicates the amount deducted when the gift card was applied to the purchase.

The variable terms in all four expressions indicate that the item was on sale of 25 percent off.

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The substitution property of equality is the property used in 7+(4+6)=7+n

The substitution property of equality refers to when a value is replaced in an equation with another value that are same or equal to the first. say AA is being used in an equation and another value say BB, replaces  AA in the equation. In this case we say that AA is being substituted for BB in the equation

The equation here can be compared to see that n and ( 4 + 6 ) are the pairs that are substituted so we can say that the property used here is the substitution property of equality

Given data

7+(4+6)=7+n

n = ( 4 + 6 )

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There are three expressions having quotient 6 are:

4 2/3 ÷ 7/9

9 ÷ 3/2

12/7 ÷ 2/7

There are three expressions having quotient 9 are:

4 1/2 ÷ 1/2

21 ÷ 7/3

72/7 ÷ 8/7

The splitting of a large group into smaller groups such that every group will have an equal number of items.

We have,

Finding quotient for each expression.

1.

4 2/3 ÷ 7/9

= 14/3 ÷ 7/9

= 14/3 x 9/7

=6

2.

9 ÷ 3/2

= 9 x 2/3

= 6

3.

4 1/2 ÷ 1/2

= 9/2 x 2/1

= 9

4.

21 ÷ 7/3

= 21 x 3/7

= 9

5.

12/7 ÷ 2/7

= 12/7 x 7/2

= 6

6.

72/7 ÷ 8/7

= 72/7 x 7/8

= 9

Thus,

Expression having quotient 6:

- 4 2/3 ÷ 7/9

- 9 ÷ 3/2

- 12/7 ÷ 2/7

Expression having quotient 9:

- 4 1/2 ÷ 1/2

- 21 ÷ 7/3

- 72/7 ÷ 8/7

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Answer:   To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. Cross any numbers used so far off from the products. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.

Step-by-step explanation:

The value of x in the mean is 53.

The total values of the numbers will be given as:

= 50 × 5

= 250

Therefore, the last number represented by x will be:

= 250 - (55 + 45 + 53 + 44)

= 250 - 197

= 53

Therefore, the value of x is 53.

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Expression as a single natural logarithm is ln 64/64 = ln 1.

ln 1 is the converted from 2 ln 8-3 ln 4 to a single natural logarithm.

We need to convert 2 ln 8-3 ln 4 as a single natural logarithm.

First apply power property

⇒ ln 8² - ln 4³

⇒ ln 64 - ln 64

Now, applying quotient property

⇒ ln 64/64 = ln 1

Here, we finally converted 2 ln 8-3 ln 4 to a single natural logarithm ln 1.

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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It should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.

It should be noted that the information is that we should rewrite the equation y=3(x-5)² +1 in another form.

This will be illustrated as:

y = 3(x-5)² + 1.

It should be noted that (x - 5)² will be:

= (x - 5)(x - 5)

= x² - 5x - 5x + 25

= x² - 10x + 25

y = 3(x-5)² + 1.

y = 3(x² - 10x + 25) + 1

y = 3x² - 30x + 75 + 1

y = 3x² - 30x + 76

In conclusion, it should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.

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Whenever we add or subtract fractions, we have to first ensure that the denominators of the fractions are the same. In this case, they are, so we don't have to go out of our way to find a common denominator.

[tex]\dfrac{3}{5}+(-\dfrac{1}{5})[/tex]

Now, let's open up the parentheses:

[tex]\dfrac{3}{5}-\dfrac{1}{5}[/tex]

Subtract only the numerators:

[tex]\dfrac{2}{5}[/tex]

[tex]\dfrac{2}{5}[/tex]

Answer to this question is:

Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}

Range of given function is (0,∞),{y|y>0}

Inverse of given function is √x/x,-√x/x

The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.

This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.

Interval Notation:(-∞,0)∪(0,∞)

Set-Builder Notation:{x|x≠0}

The set of all valid y values constitutes the range.Graph may be used to find the values.

Interval Notation:(0,∞)

Set-Builder Notation:{y|y>0}

For calculation of inverse:

∴Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}

Range of given function is (0,∞),{y|y>0}

Inverse of given function is √x/x,-√x/x

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