Which is true about the polynomial-8m3+11m

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

Answer:

I am 95% confident that the interval from 28.204 to 32.863 captures the true mean PPG of all of Jordan's home games.

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ9

Answer:

51.4

Step-by-step explanation:

when you have a regular polygon, all sides are equal and all angles are equal. Regular polygons automatically equal 360.

A heptagon has 7 sides so divide 360 by 7.

you get 51.4, that's your answer.

Answer:

the second one thxxx for the points

Answer:

66

Step-by-step explanation:

i just did this assignment and it said this was the right answer

Jessie bought 4 balls of wool for her children and 5 for herself. The cost of each ball of wool is $2.14.

Given that,

Jessie bought 4 balls of wool for her children and 5 balls of wool for herself.

She also spent $9.45 on knitting accessories.

The total cost of the wool and accessories was $28.71.

We need to find the cost of each ball of wool.

According to the given information:

The equation that helps find the cost of each ball of wool is,

4x + 5x + 9.45 = 28.71.

To solve it,

Simplify it to 9x + 9.45 = 28.71.

By subtracting 9.45 from both sides,

We get 9x = 19.26.

Finally, dividing both sides by 9 gives us x = 2.14.

Therefore, the cost of each ball of wool is $2.14.

To learn more about subtraction visit:

https://brainly.com/question/17301989

#SPJ3

The percentage change of the division test is 12%.

There is a percentage increase.

Percentage change is the difference in values and the percent change from the original value to the new value.

In other words, percentage change can be defined as a percentage change in value due to changes in the old number and new number, and the values can either increase or decrease.

Percentage change is all about comparing old to new values.

The division test was 60% in the first six week.

The division test was 72% in the second six week.

Therefore,

percentage change = 72% - 60%

percentage change = 12%

Therefore, there is a percentage increase by 12%.

learn more on percentage change here:https://brainly.com/question/15730780

#SPJ1

Answer:

4h - 12.75

Step-by-step explanation:

-2(7.5 - 4h) becomes -15 + 4h

2.25 - 15 + 4h becomes -12.75 + 4h or 4h - 12.75.

Please mark brainliest

h=1.593 is the simplified expression for 2.25 – 2(7.5 – 4h).

Two or more expressions with an Equal sign is called as Equation.

The given expression is 2.25 – 2(7.5 – 4h)

An expression is combination of variables, numbers and operators.

In the given expression two point two five minus two times of seven point five minus four h.

The h is the variable.

2.25 – 2(7.5 – 4h)

Apply distributive law

2.25-15+8h

-12.25+8h

8h-12.25=0

8h=12.25

Divide both sides by 8

h=1.593

Hence h=1.593 is the simplified expression for 2.25 – 2(7.5 – 4h).

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

tanx=b/c

sinx=b/a

cosx=c/a

Step-by-step explanation:

Answer:

REVENGE

Step-by-step explanation:

Explanation:

y = 2(x -1)

Expand the parenthesis:

y = 2x - 2

interchange x and y in the equation above:

x = 2y - 2

Then make y the subject of the formula:

add two toth sides: x +2 = 2y - 2

x + 2 = 2y

divide both sides by 2:

the maximum for R(x) which is a parabola opening downwards with a "hump", is at the top of the hump or namely its vertex, the vertex is where the maximum for R(x) is at the "x" charge value

3)

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ R(x)=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+84}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)

\(\left(-\cfrac{ 84}{2(-4)}~~~~ ,~~~~ 0-\cfrac{ (84)^2}{4(-4)}\right) \implies \left( - \cfrac{ 84 }{ -8 }~~,~~0 - \cfrac{ 7056 }{ -16 } \right) \\\\\\ \left( \cfrac{ -21 }{ -2 } ~~~~ ,~~~~ 0 +441 \right)\implies\hspace{5em} \stackrel{\textit{max of R(x)}\quad at~"x" }{\left(10\frac{1}{2}~~,~ ~~ ~441 \right)}\)

4)

well, we can find that by simply setting R(x) = 0

\(\stackrel{R(x)}{0}=-4x^2+84x\implies 0=-4x(x-21)\implies \cfrac{0}{-4}=x(x-21) \\\\\\ 0=x(x-21)\implies x= \begin{cases} 0\\ 21 \end{cases}\)

well, clearly if you charge nothing, well Revenue will be Zilch, nothing, however the same parabola that is at 0 when x = 0, is also at 0 when x = 21, meaning, if you charge more than 21 bucks, folks won't want to pay for it, so revenue will go kaput! again.

Answer:

24.55

Step-by-step explanation:

2ab - b + c = ?

2(9.84)(1.3) - 1.3 + 0.27 = ?

25.58 - 1.3 + 0.27 = 24.55

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

The student is incorrect because I I or absolute value would make the -9 to positive 9.  

Step-by-step explanation:

-9<4

on a numberline

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

but the absolute value of -9 (or) |–9|

is actually positive 9

9>4

on a number line

4 5 6 7 8 9

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

For more such question on inequality  visit:

https://brainly.com/question/30238989

#SPJ8

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

For such more questions on votes

https://brainly.com/question/32031211

#SPJ8

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

For more question on fixed rate

https://brainly.com/question/30096538

#SPJ8

Answer:

a) We expect to have 135 people to have had chickenpox in their childhood.

b) No, I would not be surprised, as the probability is not low.

z = -0.6812

c) P(X≤132)=0.248

Step-by-step explanation:

a) This is a binomial random variable, with n=150 and p=0.9, so we can calculate the expected value as:

\(E(X)=np=150\cdot 0.9=135\)

b) To answer this we can calculate the probability that 132 people or fewer have had chickenpox in their childhood.

This binomial random variable can be approximated by a normal distribution, with the following parameters:

\(\mu=np=150\cdot 0.9=135\\\\\sigma=\sqrt{np(1-p)}=\sqrt{150\cdot 0.9\cdot 0.1}=\sqrt{13.5}=3.67\)

To calculate the probability that 132 people or fewer have had chickenpox in their childhood we compute the z-score for X=132.5 (as we apply the continuity factor) and calculate the probability using the standard normal distribution:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{132.5-135}{3.67}=\dfrac{-2.5}{3.67}=-0.6812\\\\\\P(X<132.5)=P(z<-0.6812)=0.248\)

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ1

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

For more questions on Subtracted .

https://brainly.com/question/31129970

#SPJ8

The slope of the line represented by the graph of a linear function is  -5/2

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

here, we have,

Given in a question a linear function that decreases from left to right passing through the coordinates A(0,3) and B(2, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c.

So, it represents a straight line.

The line passes through the points A (0,3) and  B (2, -2).

The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 3) / (2 - 0)

m = -5/2

Therefore, the slope of the line represented by the graph of a linear function is  -5/2.

To solve more questions on straight lines, visit the link below-

brainly.com/question/23087740

#SPJ1

Answer:

  $1,021,337.13

Step-by-step explanation:

The sum of present values of medical expenses is ...

  30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...

So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...

  S = a(r^n -1)/(r -1)

where a = 30,000/1.05, n = 35, r = 1.0513/1.05.

Filling in these values and doing the arithmetic, we get ...

  S = $1,021,337.13

You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.