PLZZ answer lots of points

The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.

Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.

Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.

By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.

Let's check this using division algorithm.

Dividend = 3x³ - 5x² - 23x + 24

Divisor = x - 3

Quotient = 3x² + 4x - 11

Remainder = -9

By division algorithm,

Dividend = (Divisor × Quotient) + Remainder

3x³ - 5x² - 23x + 24  = [(x - 3) (3x² + 4x - 11)] + -9

                                 = [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9

                                 = 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9

                                 = 3x³ - 5x² - 23x + 24

Hence -9 is the remainder of this division process.

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Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x

Answer:

y = -1/3 + 2

Step-by-step explanation:

y = mx + b

b = y-intercept

m = slope

Answer:

y = -1/3 + 2

Hope this helps!

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

1 1/2.....

7 1/2=15/2 when it is cut 5 equal pieces

15/2×1/5=3/2=1 1/2ft is your answer.

Answer:

15. A

16. B

17. B

18. C

Step-by-step explanation:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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We can explain to the boss that the advertising suggestion of "all bags have equally likely flavors" would be inaccurate based on the sample bag of candy.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Based on the sample bag of Dream Pop candy, we can calculate the probability of getting each flavor.

If all bags have equally likely flavors, then each flavor should have the same probability of being selected.

However, we can see from the sample that this is not the case.

To communicate this to the boss, we can calculate the probability of getting two different flavors and compare them.

For example:

The probability of getting a grape flavor is 16/40 or 0.4

The probability of getting a lemon flavor is 6/40 or 0.15

These probabilities are not equal, indicating that the flavors are not equally likely.

We can also compare the probabilities of getting two other flavors, such as:

The probability of getting a strawberry flavor is 12/40 or 0.3

The probability of getting a blueberry flavor is 6/40 or 0.15

Again, these probabilities are not equal, further indicating that the flavors are not equally likely.

Therefore,

We can explain to the boss that the advertising suggestion of "all bags have equally likely flavors" would be inaccurate based on the sample bag of candy.

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The number of items on their grocery shopping list given the percentage already bought is 20 items.

Percentage of items bought already= 60%

Number of items bought already= 12

Total number of items on the list= x

Number of items bought already = Percentage of items bought already × Total number of items on the list

12 = 60% × x

12 = 0.6 × x

12 = 0.6x

divide both sides by 0.6

x = 12/0.6

x = 20 items

Hence, there are a total of 20 items on their grocery list.

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Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

2 x 3² x 5 x 11

Step-by-step explanation:

990 ÷ 2 = 495 so 2 is one factor

495 ÷ 2 = 247.5 - There is a remainder. So we can't divide by 2 anymore. Use next prime number

495 ÷ 3 = 165 - No remainder. So 3 is one factor

165 ÷ 3 = 55 - No remainder. So 3 is one factor

55 ÷ 3 = 18.3333 - There is a remainder. We can't divide by 3. Use next prime number

55 ÷ 5 = 11 - No remainder. So 5 is one factor

11 ÷ 5 = 2.2 - There is a remainder. We can't divide by 5. Use next prime number

11 ÷ 7 = 1.5714 - This has a remainder. So 7 is not a factor.

11 ÷ 11 = 1 - No remainder. SO 11 is one factor

Now put it together: 2 x 3² x 5 x 11

Factor trees also help. Have a good day or night

(A) just trust

ITs too good

Answer: \(y=\frac{3}{2} x - 3\)

Step-by-step explanation:

Looking at the  graph we could locate the y intercept at point (0,-3)  and we can locate another point (4,3) which also passes through the line.  So using these coordinates we already know the the y-intercept as -3 but we need to find the slope to write it in slope intercept form.

To find the slope, we will need to find the difference in the y values and divide it by the difference in the x values.

(0,-3)

(4,3)

-3 - 3 = -6

0-4 =  -4  

-6 /-4 =  3/2   so now we know that the slope is 3 over 2  

so we could write the equation as   y = 3/2x -3  

Answer: Thank you (nermay7)

Step-by-step explanation: They are correct!!!!!!!

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

The required value of b+c is 39.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation,

z² + bz + c = 0

Also, the roots of the equation are -7 + 2i and -7 - 2i.

The sum of the roots

b / 1=  -7 + 2i +  -7 - 2i

b= -14

The product of the root

c/1 = (-7 + 2i)(-7 - 2i ) = 49 - (2i)² = 49 - 4i² = 49 + 4 = 53

c = 53

The required value of b and c

b + c = 53 - 14 = 39

The value of b + c is 39.

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Answer:

480^12

Step-by-step explanation:

When you're multiplying exponents with the same base, the simplest way is to add the two exponents:

480^8 * 480^4 =

480^(8+4) =

480^12

Then solve, but your question doesn't ask for that.

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Answer:

Part 1:

(-8)^6

Part 2:

4^15

When raising a number to a power and then that value to another power, you can multiply the exponents.

Answer:

-:3"5'6:7;8\4-4-4-4✓

Answer:

Section A has 27,500 seats.

Section B has 14,800 seats.

And Section C has 12700 seats.

Step-by-step explanation:

Let A represent the number of seats in Section A, B in Section B, and C in Section C.

We know that the stadium has a total of 55,000 seats. In other words:

\(A+B+C=55000\)

We also know that the stadium took in a total of $1,174,000. Remember that a seat in A is $25, B is $20, and C is $15. So:

\(25A+20B+15C=1174000\)

Also, we know that the number of seats in A is equivalent to the combined seats in B and C. So:

\(A=B+C\)

This is a system of equations. We can solve this by substitution.

First, let's substitute our third equation into our second equation. This yields:

\(25(B+C)+20B+15C=1174000\)

Distribute:

\(25B+25C+20B+15C=1174000\)

Combine like terms:

\(45B+40C=1174000\)

Let's divide everything by 5:

\(9B+8C=234800\)

Now, let's solve for either B or C. To do so, let's substitute our third equation into our first equation. This yields:

\((B+C)+B+C=55000\)

Combine like terms:

\(2B+2C=55000\)

Divide everything by 2:

\(B+C=27500\)

I'm going to solve for B. Subtract C from both sides. This gives:

\(B=27500-C\)

Now, let's substitute this into the equation we acquired previously. This yields:

\(9(27500-C)+8C=234800\)

Distribute:

\(247500-9C+8C=234800\)

Subtract 247,500 from both sides:

\(-9C+8C=-12700\)

Add:

\(-C=-12700\)

Divide both sides by -1. So, the number of seats in Section C is:

\(C=12700\)

Now, we can solve for A and B.

Remember that there are 55,000 seats in total. So:

\(A+B+C=55000\)

We know that C is 12700. Substitute:

\(A+B+12700=55000\)

Subtract 12700 from both sides:

\(A+B=42300\)

Now, remember that A is B+C. So, substitute:

\(B+C+B=42300\)

Combine like terms. Again, let's substitute 12700 for C. This yields:

\(2B+12700=42300\)

Subtract 12700 from both sides:

\(2B=29600\)

Divide both sides by 2:

\(B=14800\)

Finally, to find A, we can use the first equation again:

\(A+B+C=55000\)

Substitute 14800 for B and 12700 for C. This gives us:

\(A+14800+12700=55000\)

Add:

\(A+27500=55000\)

Subtract 27500 from both sides. So:

\(A=27500\)

Therefore, there are 27,500 seats in Section A, 14,800 seats in Section B, and 12,700 seats in Section C.

And we're done!

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

Answer:

How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.

Given:

The dimensions of rectangle are doubled.

Required:

What is the effect on the perimeter and area of the rectangle?

Explanation:

We know the perimeter and the area of rectangle is:

if dimensions are doubled then

and

Answer: