Solve 14+3n=5n−6 . Check your solution.



n= __

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

No 1/3 is not greater than 5/9.

Step-by-step explanation:

Answer:

Answer:

She can make 2 2/5 of a necklace. Which is 2.4 to the nearest tenth.

Step-by-step explanation:

Answer:

$0.25

Step-by-step explanation:

To find the unit rate of each orange, divide the total cost of the bag by the number of oranges in the bag:

⇒ 3.75 ÷ 15 = 0.25

Therefore, the unit rate of each orange is $0.25

Answer:

24/182 = 12/91

Step-by-step explanation:

We are 95% confident that the true population mean falls within the range of 600 to 800.

Sure, I can help you with that! To express the confidence interval (549,814) in the form of ¯x±ME, we first need to find the sample mean, ¯x, and the margin of error, ME.

Unfortunately, we don't have any additional information about the sample or the population, so we can't calculate these values.

A confidence interval is a range of values that we believe contains the true population parameter with a certain level of confidence.

The sample mean, ¯x, is the best estimate we have of the true population mean.

The margin of error, ME, is a measure of the uncertainty or variability in our estimate.

To express the confidence interval in the form of ¯x±ME, we simply add and subtract the margin of error from the sample mean.

So, if we have a confidence interval of (549,814), we would need to know the sample mean and the margin of error to express it in the desired format.

For example, if we knew that the sample mean was 700 and the margin of error was 100, we could express the confidence interval as:
¯x±ME = 700±100

This means that we are 95% confident that the true population mean falls within the range of 600 to 800.

Know more about 95% confidence here:

https://brainly.com/question/31516060

#SPJ11

To find the estimated mean consumption level for an economy with GDP equal to $2 billion and an aggregate price index of 90, we'll use the formula: Mean Consumption = (GDP / Aggregate Price Index) * 100.

To answer this question, we need to refer to Table 1 which provides information on consumption levels based on different combinations of GDP and aggregate price index. The term "mean" refers to the average consumption level for an economy with the given GDP and price index.

Looking at the table, we can see that for an economy with GDP of $2 billion and an aggregate price index of 90, the estimated mean consumption level is $4.75 billion. Therefore, the answer is c. $4.75 billion.

To know more about mean visit:

https://brainly.com/question/1136789

#SPJ11

Answer:

The answer is A

Step-by-step explanation:

Fist multiply 3 and .15 to get .45 for 3 pencils. Then subtract .45 from 6.45 and get 6. Then divided 6 by 5 to get 1.2 for each book

i think the answer is a: $1.20

my work:

3 x 0.15 = 0.45.

6.45 - 0.45 = 6.00

6.00 / 5 = 1.20

and i checked my work by doing 1.20 x 5 + 0.40 = $6.45.

Answer:

We know that:

Tan(x) = sin(x)/cos(x)

We know that:

Tan(θ) = 1 = sin(θ)/cos(θ)

we can rewrite this as:

sin(θ)/cos(θ) = 1

sin(θ) = cos(θ)

If you know the table of notable angles, the angle such that this is true is θ = 45°

sin(45°) = 1/√2 = cos(45°)

Now we want to find the value of:

sec(θ) + cosec(θ)

Where:

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

And we already know the values of the sine and cosine function, then:

sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2

Then, given that:

Tan(θ) = 1

We can conclude that:

sec(θ) + cosec(θ) = 2*√2

The speed 217 miles per hour using dimensional analysis to convert to feet per minute is; 19096 ft/min

From dimensional analysis, we know that;

1  mile = 5280 feet

1 hour = 60 minutes

Thus;

1 mile/hr = 88 feet/min

Since conversion from mph to ft/min is, 1 mile/hr = 88 feet/min

Then, 217 mile/hr = (217 mile/hr/1 mile/hr) * 88 feet/min

⇒ 19096 ft/min

Read more about Dimensional Analysis at; https://brainly.com/question/20712353

#SPJ1

Answer:

Option D

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

From the graph attached,

y-intercept = 4

Since, slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of the line passing through (-2, 8) and (5, -6) will be,

m = \(\frac{8-(-6)}{-2-5}\)

m = \(-\frac{14}{7}\)

m = -2

Therefore, equation of the line will be,

y = -2x + 4

Equations given in the options A, B, and C are not matching with our equation.

Simplify the equation given in Option D,

y = -2(x - 5) -6

y = -2x + 10 - 6

y = -2x + 4

Therefore, Option D is the answer.

Answer:

Rational

Step-by-step explanation:

You can write it as a ratio of a/b

Answer:

Irrational

Step-by-step explanation:

Irrational- anything that can be written as a decimal.

Rational- anything that can be written as a fraction.

Hope this helps. Plz give brainliest.

Answer:

the answer is B (-5/7).....

Answer:Yes

Step-by-step explanation: Working 3 hours for $12 is the same as working 9 hours for $36 in both equations you earn $4 an hour

Answer:

$45m+$80= total money spent

Step-by-step explanation:

the $45 is multiplied by the number of months that the plan is used becuase that is the amount that must be paid per month, and you add the $80 that only needs to be paid once.

I hope that helps!

Answer:

123 456 789 10 11 12 1 3 1 4 1 5 1 5

Step-by-step explanation:

between 120 and 97

Step-by-step explanation:

Answer:

(C) (n) = 25n+35

Step-by-step explanation:

25×1+35=60

25×2+35=85

25×3+35=110

25×4+35=135

You have the following inequality:

x - 19 ≤ 27

To solve the previous inequality, add 19 both sides and simplify:

x ≤ 27 + 19

x ≤ 46

The graph is:

Answer:

x is less than or equal to 8

Step-by-step explanation:

The calculated value of the function  when the value of w is equal to 4, is -4

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

f(w) = -w

When the value of w is equal to 4, we have f(4)

In the function notation f(4), we have

w = 4

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

f(4) = -1 * 4

So, we have

f(4) = -4

Hence, the value of the function is -4

Read more about function at

https://brainly.com/question/32430073

#SPJ1

Question

Given that f(w) = -w

what is the value of the function when the value of w is equal to 4

Answer:

16

Step-by-step explanation:

i got it right on the test

Answer:

16...

hope, it helps! x

Your answer is the center image.

hope this helps.

For the function f(x) , the statement based on limit has following answer,

a. For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  For all f(x) , if  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

For the function f(x),

If the limit of the function f(x) does not exist then,

(a) lim x→a⁺ f(x) does not exist is a false statement.

If lim x→a⁺ f(x) or lim x→a⁻ f(x) exists.

it is still possible for lim x→a f(x) to not exist.

For example, consider the function f(x) = 1/x and a = 0.

The limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does exist.

(b) lim x→a⁻ f(x) does not exist is a false statement.  

Considering same function f(x) = 1/x and a = 0 .

The limit of f(x) as x approaches 0 from the left (i.e., lim x→0⁻ f(x)) does not exist.

But the limit of f(x) as x approaches 0 from the right (i.e., lim x→0⁺ f(x)) does exist.

Therefore, function f(x) represents the following statement as,

a. If  lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist is false statement.

b.  If  lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist is false statement.

Learn more about function here

brainly.com/question/23542106

#SPJ4

The above question is incomplete , the complete question is:

Determine whether each statement is true or false. you have one submission for each statement.

(a) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁺ f(x) does not exist.

(b) for every function f(x), if lim x→a f(x) does not exist, then lim x→a⁻ f(x) does not exist.

Including a triangle and rectangle, the area of this composite shape will be 136 cm².

What exactly is a rectangle?

A rectangle is a geometric shape that is defined as a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and equal in length.

Rectangles are a type of parallelogram because their opposite sides are parallel. However, what distinguishes rectangles from other parallelograms is that all four of their angles are right angles.

Now,

The area of the composite shape will be equal to the sum of area of triangle and area of rectangle

so,

To find the area of a rectangle, the length of the rectangle is 16 cm and the width is 7 cm, so the area is:

Area = Length x Width = 16 cm x 7 cm = 112 square cm

Therefore, the area of the rectangle is 112 square cm.

As area of a triangle is :

Area = (1/2) x Base x Height

where "Base" and "Height" are the length of the base and the height of the triangle, respectively.

Substituting the given values, we have:

Area = (1/2) x 8 cm x 6 cm = 24 square cm

Therefore, the area of the triangle is 24 square cm.

Then

Area of shape=112+24

=136 cm²

hence,

          the area of this composite shape will be 136 cm².

To know more about rectangles visit the link

brainly.com/question/29123947

#SPJ1