Is the solution shown below correct? Explain.
9x+2=8x²+6x

The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.

The given polynomial function is f (x) = 5x³ + 5x² – 60x.

The factor theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0. In other words, we can say that (x - a) is a factor of f(x) if f(a) = 0.

Using factor theorem 5x³ + 5x² – 60x=0

⇒ 5x(x²+x-12)=0

⇒ (x²+x-12)=0

Using the splitting middle method we can factorise x²+x-12=0

That is, x²+4x-3x-12=0

⇒ x(x+4)-3(x+4)=0

⇒ (x+4)(x-3)

The factors of the given polynomial function are 5x(x+4)(x-3). Therefore, option B is the correct answer.

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Answer:

(x-4)

Step-by-step explanation:

Answer:

2 + (-7) = -5

Step-by-step explanation:

The arrow pointing down is telling you to add a negative. You cannot add positive numbers and get a negative number as your answer.

Taking away -7 from 2 gives you -5

Answer: When x is tripled, y will be tripled.

Step-by-step explanation:

     Since y varies directly as x, whatever happens to x will happen to y. This means that if x is tripled, y will also be tripled.

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The other term is +8.

A recursive formula is one that defines each term in a sequence by reference to the one before it. The following parameters are defined using the recursive formules:

1. The initial term in the series.

2. The general rule for determining any term from its preceding term.

Formula for the Arithmetic Mean

The ratio of the sum of the items to the total number of items is the arithmetic mean, which is the simplest way to measure central tendency.It is regarded as the most accurate way to measure central tendency. The distribution of the data and the intended use of the data both influence the average that is chosen.

[tex]arithmetic \: mean = \frac{a1 + a2 + a3 + a4 + a5 + .........an}{n} [/tex]

given that

The arithmetic mean of two terms in an arithmetic sequence is -6.One term is -20 .

now, find the other term

[tex]arithmetic \: mean = \frac{a + b}{ 2} [/tex]

[tex] - 6 = \frac{( - 20) + b}{2} [/tex]

[tex]2 \times - 6 = - 20 + b[/tex]

[tex] - 12 + 20 = b[/tex]

[tex]b = 8[/tex]

Hence,the other term is +8.

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Your answer should be - 84.

Explanation:

Starting equation: [tex]2\:+\:8\:-\:2\:\left[32\:+\:5\:\left(1\:+\:2\right)\right][/tex]

-Calculate within parentheses [32 + 5 (1+2)] = 47.

Remaining equation: 2 + 8 - 2 x 47

-Multiply and divide (left to right) 2 x 47 = 94

Remaining equation: 2 + 8 - 94

-Add and subtract (left to right) 2 + 8 - 94 = -84

Your final answer is -84

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Hope this helps!

Have a great day and God bless! :)

Answer: Do you have a picture of the problem so it will be more sense?

Step-by-step explanation:

True, Determining the arrangement of people around a circular table would require circular permutation.

In statistics, what does a probability mean?

True, Determining the arrangement of people around a circular table would require circular permutation.

It happens that there are only two ways we can seat three people in a circle, relative to each other's positions.

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Answer:

electrical is a good servant but master

Answer:

$28,656.82

Step-by-step explanation:

I used the compound interest calculator

A = P(1 + r/100)ⁿ

where A = amount accrued, P = investment amount r = rate% and n = number of years

r = 8.82% = 8.82/100 = 0.082 so 1 + r/100 = 1.0882

[tex]\\A = P(1.0882)^{16.7} = \$37,893.87\\\\\mathrm {Interest} = \$37,893.87 - \$9237.05 = \$28,656.82[/tex]

Answer:

$28,656.82

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9237.05(1+0.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(1.0882)^{16.7}-9237.05[/tex]

[tex]\implies \sf I=9237.05(4.1023777...)-9237.05[/tex]

[tex]\implies \sf I=37893.8685...-9237.05[/tex]

[tex]\implies \sf I=28656.8185...[/tex]

Therefore, the amount of interest that will be earned after 16.7 years is $28,656.82 (nearest cent).

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Answer:

second option

Step-by-step explanation:

(2 [tex]\frac{4}{5}[/tex] )( - 5 [tex]\frac{2}{3}[/tex] ) ← convert mixed numbers to improper fractions

= [tex]\frac{14}{5}[/tex] × - [tex]\frac{17}{3}[/tex]

= - [tex]\frac{14(17)}{5(3)}[/tex]

= - [tex]\frac{238}{15}[/tex]

= - 15 [tex]\frac{13}{15}[/tex]

When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change: Always TRUE

Example can be: -1(27 - 55) = -27 + 55

It is because of the following reason that when we multiply two numbers:

Therefore, the statement "when using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change" is Always TRUE.

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The complete question is given below;
Determine whether the following statement is always, sometimes, or never true. Explain your reasoning. When using the distributive property, if the term outside the parentheses is negative, then the sign of each term inside the parentheses will change.

Answer:

The one that costs more.

Step-by-step explanation:

Because you already know that they have the same volume (amount of ounces) and they are different prices, whichever one is more expensive has the higher cost per ounce. {You don't need to solve for a ratio or anything because they have the same number of ounces!!!}

Answer: If the number of ounces are the same, then the box that costs more will also cost more per ounce.

Length of BC is 25 inches.

Here,

Line l contains points A, B and C.

A B =7 inches, A C = 32 inches, and point B is between points A and C.

We have to find the length of BC in inches.

What are Collinear points?

If two or more points are lie on a straight line then points are called Collinear points.

Now,

Line l contains points A, B and C.

Point B is between points A and C.

Length of A B = 7 inches and A C = 32 inches

Hence, Length of BC = Length of AC - Length of A B

                                 = 32 - 7 = 25 inches.

Therefore, Length of BC is 25 inches.

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Step-by-step explanation:

4a+3a+6b+8b

7a+14b ......

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[tex]\textcopyright ELIZA[/tex]

Answer:

250 + 40x

Step-by-step explanation:

x = every house he paints .

im not sure what you want but in case its an equation , here you go .

Answer:

250 + 40x

Step-by-step explanation:

literally what the dude above me said heh

Location Death Valley, Mount McKinley/Denali Elevation Above Sea Level (feet), then the statement B , statement E , statement F are correct.

These three statements are correct.

The table shows the elevation above sea level of the lowest and highest points in the United States.

Location Death Valley

Mount McKinley/Denali

Elevation Above Sea Level (feet)

So, we can write,

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

⇒ 20310 - (-282)

Note that two negatives = one positive

⇒ 20310 + 282

⇒ 20592 feet

Therefore, The statement B , statement E , statement F are correct.

Hence,

These three statements are correct.

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The inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The point is (-8, -11)

As we have inequalities shown in the option:

After plotting the inequality in the graph:

From the graph, the point lies in the solution region of the inequality y ≤ (3/2)x-1 which means the point (-8, -11) satisfies the inequality.

Thus, the inequality y ≤ (3/2)x-1 satisfies the point (-8, -11) option (B) y ≤ (3/2)x-1 is correct.

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True

It's true, 96240 is divisible by 2,3,5,10

Hope this helps!

Answer:

the third option contains imaginary numbers

Step-by-step explanation:

Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”. so we can express them as follows; √-2 = √-1 × √2 = √2 i.... √-1 = i

√-9 = √-1 × √9 = 3i

Answer:

You remove the difference between the two numbers from each other. E.g., 5-2=3, and 6-4=2.

Step-by-step explanation:

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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Answer:

The answer is 9/7 yards.

The mathematical expression from the algebraic expression is a x^3 - 6.

According to the statement

We have to find that the expression of the statement in the mathematical form.

So, For this purpose, we know that the

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the given information:

The hx values are 6 less than the cube of x

Then

To convert into the mathematical form:

The cube of the x is in the mathematical form is a x^3

Then

And the 6 less than the cube

And in the mathematical form it becomes the

x^3 - 6.

So, The mathematical expression from the algebraic expression is a x^3 - 6.

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An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles triangle.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²] units.

Given that the coordinates of the vertices of the triangle are A(0,0), B(a, b), and C(2a, 0). Now, to prove that the given triangle is an isosceles triangle we need to find the length of each side of the triangle.

AB = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(a - 0)² + (b - 0)²]

     = √(a² + b²)

BC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - a)² + (0 - b)²]

     = √(a² + b²)

AC = √[(x₂-x₁)² + (y₂-y₁)²]

     = √[(2a - 0)² + (0 - 0)²]

     = √4a²

     = 2a

Since the length AB and BC are the same, while the length of AC is different, therefore, ΔABC is an isosceles triangle.

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Step-by-step explanation:

\begin{gathered}6x - 2y = 6 \\ 6x = 6 + 2y \\ x = \frac{6 + 2y}{6} \end{gathered}

6x−2y=6

6x=6+2y

x=

6

6+2y

Answer:

9

Step-by-step explanation:

3x3=9

Answer:

the sum is 9

Step-by-step explanation:

3×1=3

3×2=6

3×3=9