I need help with this

I Need Help With This

Answers

Answer 1

B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)

What is a linear factor?

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials. Linear factors appear in the form of ax + b and cannot be factored further.

if ( x+2) is a factor of the polynomial, then x+2 can divide the polynomial without remainder.

see attached document for detailed division of the polynomial [tex]x^{3}+8x^{2} +5x-14[/tex].

In conclusion B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)\

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Related Questions

f(x)=1/2x+8 reflect x axis

Answers

The function of reflect x-axis is g(x) =  -(1/2)*x - 8, according to the question.

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

First, let's define a reflection over the x-axis.

If we have a point (x, y) and we reflect it over the x-axis, our new point will be (x, -y).

Now, when we have a function

f(x) = y, the points can be written as:

(x, y = f(x) ) = (x, f(x))

Then, after the reflection over the x-axis, we have:

(x, y = g(x)) = (x, -f(x))

So now we have g(x) = -f(x)

and we know that f(x) = (1/2)*x + 8

then our new function is g(x) =  y = -f(x) = -( (1/2)*x + 8) = -(1/2)*x - 8.

g(x) =  -(1/2)*x - 8.

Therefore, the required answer is g(x) =  -(1/2)*x - 8.

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I need help in this 8th grade only part B and D

Answers

a) The first term of the sequence is; ³¹/₆

b) The term to term rule is; aₙ = ³¹/₆ + (n - 1)²/₆

c) The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

d) The 10th term in the sequence is; a₁₀ = ⁴⁹/₆

How to find the nth term of a sequence?

The first term of the sequence is given by the expression;

2 ÷ ¹²/₃₁ = ³¹/₆

The second term of the sequence is given by the expression;

3 ÷ ⁶/₁₁ = ³³/₆

The third term of the sequence is given by the expression;

5 ÷ ⁶/₇ = ³⁵/₆

These are the first three terms of a sequence and so the sequence is;

³¹/₆, ³³/₆, ³⁵/₆,....

d = ³³/₆ - ³¹/₆ = ²/₆

Thus, term to term rule is given by the nth term of an arithmetic progression;

aₙ = ³¹/₆ + (n - 1)²/₆

The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

The 10th term in the sequence is;

a₁₀ = ³¹/₆ + (10 - 1)²/₆

a₁₀ = ³¹/₆ + ¹⁸/₆

a₁₀ = ⁴⁹/₆

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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). Group of answer choices x – 3 x + 1 x – 1 x + 3

Answers

The answer choice which must be a factor of the polynomial in discuss is; (x - 1).

What must be a factor of the polynomial as described?

It follows from the vertex form equation of a parabola; f(x) = a ( x - h )² + k where the vertex of the parabola is; (h, k).

Therefore, the equation of the parabola in discuss is;

f(x) = a (x - 3.5)² + 3.

Recall that the x coordinates of the vertex, h is given by; h = (p + q) / 2

where p and q are the zeroes of the quadratic function.

Therefore, since one of the zeroes is given as; 6 ( from (6, 0) ); it follows that the second zero can be determined as follows;

3.5 = ( 6 + q ) / 2

7 = 6 + q

q = 1

Therefore, since the second zero is; 1. It follows that the associated factor as required is; ( x - 1 ).

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what is [tex]\sqrt{49}[/tex]

Answers

The square root of 49 is 7

Answer:7

Step-by-step explanation:

What it is asking you is what multiplied by it self gets you to 49. the answer would be 7 because 7*7=49

The equation of line u is y–3=7(x–5). Parallel to line u is line v, which passes through the point (1,9). What is the equation of line v?

Answers

Answer:

y - 9 = 7(x - 1)

Step-by-step explanation:

The given equation is in Point Slope Form:  y - y₁ = m(x - x₁)

m is the slope, and parallel lines have the same slope (7)

x₁ and y₁ are the coordinates of a point on the line

Math Please help!!!!! Linear vs Exponential

Answers

Answer:

linearadditivelycommon differenceabout 240.12

Step-by-step explanation:

Given the values in the table, you want to know if they represent a linear or exponential relation, along with the common difference or ratio, as applicable.

Changes

The first attachment shows the differences and ratios between successive table values. Neither the differences nor the ratios are constant. The wide variation in ratios and the relatively smaller variation in differences suggests the table is best modeled by a linear function.

Changes when the function is linear are additive. That is, the function values have a common difference.

Common difference

The average difference between table values is (949.92 -229.44)/3 = 240.16. A linear regression analysis gives a slope of 240.12 as the "best fit" to the table values.

You can see from the first attachment that the differences are not constant, so there isn't really a common difference. The difference is approximately 240.12.

__

Additional comment

The second attachment shows linear and an exponential regression applied to this data. The residuals are much smaller for the linear approximation.

The slope of the line (common difference) is estimated at 240.12 using the regression formula. This makes the mean square residuals a minimum. As we show above, this slope is different (slightly lower) than the slope of the line through the first and last data points.

If 3(x + 5) + 2 = 5, what is the value of x?

Answers

Answer:

-4

Step-by-step explanation:

3x+15+2=5

3x=-15-2+5

3x=-12

x=-12/3

x=-4

Answer:

x=-4

Step-by-step explanation:

Given:

[tex]3(x+5)+2=5[/tex]

To find:

The value of x.

Explanation:

It is given that,

[tex]3(x+5)+2=5[/tex]

That implies,

[tex]3(x+5)+2=5\\3x+15+2=5\\3x+17=5\\3x=5-17\\3x=-12\\x=-\frac{12}{3} \\x=-4[/tex]

Hence, the value of x is -4.

Is the sum of 3.04 and √20 rational or irrational? Explain.

Answers

Answer:

Irrational

Step-by-step explanation:

A rational number can be expressed as p/q where p and q are integers

3.04 is rational since it can be expressed as 304/100

√20 is not rational. √20 = √(4·5) = √4·√5 = 2√5
While 2 is a rational number, √5 is irrational since 5 is a prime number and square roots of primes are not rational

An irrational number multiplied by a rational number is irrational so √20 is irrational

An irrational number added to a rational number results in an irrational number.

So 3.04 + √20  is irrational

how much does a basket of apples weigh

Answers

Answer:

42-48 pound" number.

Step-by-step explanation:

A scientist polls 40 people, asking if they would participate in a study. 55% say yes. How many people said yes

Answers

Answer:

22 people

Step-by-step explanation:

First, let's convert the percentage into a decimal so we can multiply the two.

55% = 0.55

Next, we'll multiply 40 times 0.55. This is so we can find the amount of people who said yes. (55% of people said yes.)

0.55*40 = 22

22 people said yes.

I need help please help me

Answers

Answer:

GM = 18

Step-by-step explanation:

JK = KL = 2

GJ = LM =7

GM = 7+2+2+7 = 18!

So the answer it is 18.

How many real solutions does the system have ? y = - 3x - 1; y = x ^ 2 - 3x + 4

Answers

The only solution the system of the equation has is x = -1/3.

The number of solutions is one.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The system of equations:

y = -3x - 1

y = x² - 3x + 4

The solutions of the equation.

y = 0

So,

-3x - 1 = 0

-3x = 1

x = -1/3

x² - 3x + 4 = 0

It is in the form of ax² + bx + c = 0

a = 1, b = -3, and c = 4

Now,

x = -b ± √(b² - 4ac) / 4a

x = 3 ± √(9 - 16) / 4

x = 3 ±√-7 / 4

x = 3 ±i√7 / 4

This is a complex root.

So,

These are not real solutions.

Thus,

The only solution the system of the equation has is x = -1/3.

The number of solutions is one.

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11. Ms. Still is ordering pizza and breadsticks for a school pizza party and has a budget of no more than
$91. An order of breadsticks, x, costs $7 and a pepperoni pizza, y, costs $13.
a. Write a linear inequality that describes the situation.
b. Graph the situation. Label the axes.
c. Is (5, 5, 4) a solution to the inequality? Does this oved pair make sense for this situation? Explain.

Answers

The inequality that represents the situation given will be  

7x + 13y ≤ 91.

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The inequality that represents the situation given will be  7x + 13y ≤ 91.

From the information given, Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $91, but no more and an order of breadsticks costs $7 while a pepperoni pizza costs $13.

Therefore, the inequality that represents the situation given will be  

7x + 13y ≤ 91.

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Solve 4x - 3 = 17
x = ?…

Answers

Answer: x=5

Step-by-step explanation:

4x-3=17 Add three to both sides

4x=20 Divide both side by 4 to isolate x

x=5

Follow the order of operations.

4x - 3 = 17

Add 3 to both sides.

4x = 20

Divide 4 from both sides.

X = 5.

If a certain electromagnetic wave has a wavelength of 100m, what type of electromagnetic wave is it?

Answers

Answer: Radio

Step-by-step explanation:

An electromagnet wave with a wavelength of 100m is a Radio. These signals are invisible to the human eye, humans are only able to detect visible light.

Evaluate

15 ÷ (3+1/3) ²

Answers

Answer:

[tex]\dfrac{27}{20}[/tex]

Step-by-step explanation:

First, convert both numbers into fractions:

[tex]\dfrac{15}{1} \div \left(\dfrac{10}{3}\right)^2[/tex]

Then, apply the exponent of the second fraction in parentheses to its numerator and denominator.

[tex]\dfrac{15}{1} \div \left(\dfrac{10^2}{3^2}\right)[/tex]

[tex]\dfrac{15}{1} \div \dfrac{100}{9}[/tex]

Finally, multiply the first fraction by the reciprocal of the second fraction.

(Skip, Flip, Multiply)

[tex]\dfrac{15}{1} \times \dfrac{9}{100}[/tex]

[tex]\dfrac{135}{100}[/tex]

And simplify.

[tex]\dfrac{135 \div 5}{100 \div 5}[/tex]

[tex]\dfrac{27}{20}[/tex]

What are the steps to answer this question 5x60=5xtens

Answers

Answer: 12

Step-by-step explanation:

       1 2  

   5 ⟌ 6 0  

     - 5    

       1 0  

     - 1 0  

         0  

Realice los siguientes ejercicios de lenguaje algebraico
Considerando que Soraya tiene x naranjas
Considerando que y es la edad de José.

Answers

Las expresiones algebraicas que completan la tabla son 200+x, 2(200+x), 650+ 2(200+x),  y -5, y+ 10, y+8, 75- y

¿Qué es el lenguage algebraico?

El lenguaje algebraico es simbólico es decir se expresa mediante consonantes o vocales, el lenguaje algebraico nos permite expresar de manera sencilla y practica el valor desconocido de una determinada cantidad.

¿Cómo se expresan los enunciados dados?

A partir de la información dada es decir  "x" naranjas y "Y" que es la edad de José vamos a expresar las respuestas en lenguaje algebraico.  Para esto se debe relacionar la x o y con el valor dado y el signo matemático correspondiente:                                                

Luis tiene 200 naranjas mas que Soraya  =  200+x

Susana tiene el doble de Luis  = 2(200+x)

Juan tiene 650 naranjas mas que susana   = 650+ 2(200+x)

Considerando que Y es la edad de José

Los años que tenia hace 5 años = y -5

Los años que tendrá en 10 años  = y+ 10

Los años que tendrá dentro de 8 años = y+8

Los años que faltan para que cumpla 75 años = 75- y

Podemos concluir que el lenguaje algebraico nos permite representar de manera practica un valor desconocido y de igual manera obtener respuestas practicas y sencillas a partir de variables.

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Owen went to Best Buy to purchase a new laptop. He put a down payment of $200 and will pay $75 each month until he pays it off. Use the
formula p= 200 + 75c to identify which statement below is false.

The ‘p’ is represented as the dependent variable

The ‘c’ represents the number of months

The independent variable is 75

The ‘c’ is represented as the independent variable

Answers

Owen went to Best Buy to purchase a new laptop. He put a down payment of $200 and will pay $75 each month until he pays it off. Use the

formula p= 200 + 75c to identify which statement below is false.

The ‘p’ is represented as the dependent variable [true]

The ‘c’ represents the number of months [true]

The independent variable is 75 [FALSE]

The ‘c’ is represented as the independent variable [true]

“The independent variable is 75” would be false because 75 is not a variable. A variable is a letter with a hidden value.

A bakery can make 640 bagels in 4 hours how many can it make in 8 hours and 6 hours.PLEASE HURRY UP THIS IS DUE IN 10 MINUTES <3333

Answers

Hello!

What does this problem want:

how many bagels in 8 hourshow many bagels in 6 hours

What we need to find: rate of bagels made per hour

    [tex]\text{Rate}=\frac{\text{Total number of bagels}}{\text{Number of hours}} =\frac{640}{4} =160 \text{ bagels per hour}[/tex]

Thus

how many bagels in 8 hours

                 8 * 160 = 1280 bagels

how many bagels in 6 hours

                6 * 160 = 960 bagels

Hope that helps!

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Explain your reasoning.

Answers

X + 7 is not a factor of [tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +2x -8 because it gives a remainder when x + 7 divides it.

What is a remainder?

The remainder is the portion of the dividend that cannot be fairly divided by the divisor. After dividing whole numbers to find the quotient, the part that is left is called the remainder.

to know if x + 7 is a factor, x = -7 when substituted should give 0 as a remainder otherwise it is not a factor.

By substituting x = -7 we have

[tex](-7)^{3}[/tex] [tex]-3(-7)^{2}[/tex] +2(-7) - 8 = -343 -147 -14 - 8  which is -512

Therefore x + 7 is not a factor of the function.

In conclusion x + 7 is not a factor of [tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +2x -8

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Answer:

What he said!

Step-by-step explanation:

solve 3x+1=-5 by graphing. then find the x- and y-intercepts

Answers

The graph of the equation is shown below

The x-intercept is -2

The y-intercept is undefined

Graph of linear equations and determining the intercepts

From the question, we are to solve the equation by graphing and determine the x- and y-intercepts

The given equation is

3x + 1 = -5

To determine the x-intercepts, we will solve the equation

3x + 1 =-5

3x = -5 - 1

3x = -6

Divide both sides by 3

x = -2

Since, y is not defined in the equation, the y-intercept is undefined

The graph of the equation is shown below.

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Jackson’s motorcycle gets 28 kilometers per liter. He drives 336 kilometers and gas is $1.43 per liter. Complete parts (a) and (b) below.

(A) how much does the gas used for the trip cost?
-round to the nearest cent as needed-

(B) how many miles per gallon does Jackson’s motorcycle get?
-round to the nearest cent as needed-

Answers

The gas for the Trip cost is $8.39

The amount of gas motorcycle needed is 12 Liter of gas.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jackson’s motorcycle gets 28 kilometers per liter.

He drives 336 kilometers and gas is $1.43 per liter.

The amount of gas motorcycle needed

= 336/28

= 12 Liter of gas

and, The gas for the Trip cost = 12/1.43

                                                  = $8.39

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What number represents 3,675,100,608 rounded to the nearest million?

Answers

The number 3,675,000,000 represents 3,675,100,608 rounded off to the nearest million.

Rounding off large numbers.

When we round off large numbers, we consider the digit to the right of the number occupying the place value for which we are rounding off to. If the digit to the right is 4 or less, we round down (we leave the number we are rounding to), but if the digit is 5 or higher, we round up (we increase the digit we are rounding by 1). and thus round to the indicated place value.

From the question, we have the large number;

3,675,100,608

the digit 5 indicates the place value (million)

and the digit 1 is to the right and will be rounded down.

Therefore, the number 3,675,000,000 represents 3,675,100,608, rounded to the nearest million.

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30+ w =150 what does w equal?​

Answers

Subtract 30 from both sides to isolate w

30-30+w=150-30

w=120

We can substitute w=120 back into the equation to check it:

30+(120)=150



The selling price for a classic speedboat is $12,000, which is $2500 less than two times its original price. What was the original price of the speedboat?

Answers

Answer: 29000

Step-by-step explanation:

12000 + 2500 = 14500

14500 * 2 = 29000

The area of the smaller regular pentagon is about 27.5 cm².
What is the best approximation for the area of the larger regular pentagon?
11cm²
172 cm²
70 cm²
275 cm²

Answers

Answer:172 cm²

Step-by-step explanation:

when we use the formula, and we can  solve out is like 172.05 and round to tenth and will have the answer

Formula is 1/2 × p × a  

The variables a, b, c, and d are graphed on the number line shown.
Use the number you answer the questions in the chart

Answers

The correct values are;

⇒ a - d = - 2

⇒ c - a = 7

⇒ b - c = - 8

⇒ d - c = - 5

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The number line is shown in figure.

The values are,

a = - 3

b = - 4

c = 4

d = - 1

Now,

All the values are find as;

⇒ a - d = - 3 - (- 1)

           = - 3 + 1

           = - 2

⇒ c - a = 4 - (-3)

           = 4 + 3

           = 7

⇒ b - c = - 4 - 4

           = - 8

⇒ d - c = - 1 - 4

           = - 5

Thus, The correct values are;

⇒ a - d = - 2

⇒ c - a = 7

⇒ b - c = - 8

⇒ d - c = - 5

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The radius of a cone is 2.5 units. The volume of the cone is 19 cubic units

Answers

The formula for the volume of a cone is given by the following equation:

V = 1/3 * π * r2 * h

where V is the volume of the cone, r is the radius of the cone, and h is the height of the cone.

In this case, we are given that the radius of the cone is 2.5 units and the volume of the cone is 19 cubic units. We can use this information to complete the expression that represents the height of the cone as follows:

V = 1/3 * π * r2 * h

19 cubic units = 1/3 * π * 2.5 units2 * h

19 cubic units = 1/3 * π * 6.25 units2 * h

19 cubic units = 1/3 * 19.63 units2 * h

19 cubic units = 6.54 units2 * h

h = 19 cubic units / 6.54 units2

h = 2.9 cubic units / 6.54 units

Therefore, the expression that represents the height of the cone is 2.9 cubic units / 6.54 units.

Rewrite in simplest terms:

6
(
6
p

9
)

10
p
−6(6p−9)−10p

Answers

Answer:

Step-by-step explanation:

6(6p-9)-10p-6(6p-9)-10p

36p-54-10p-36p+54-10p

36p-36p-54+54-10p= -10p

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