State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.A No; it is a ratioBYes; degree 1CNo; x is a negative termDYes; degree 4

The inequality comparison

What is Inequality?

Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Given, numbers are

11 and -9

an inequality to show all  numbers: from (11) to (–9) inclusive

-9 ≤ x ≤  11

Hence, inequality to compare the numbers

11 and -9 is  -9 ≤ x ≤  11

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Answer:11/4

Step-by-step explanation: First you put the points in m=x1-x2/y1-y2

m=15-4/3+1=15

One way of simplifying the given expression is by using the following definition:

So, for the given expression, we have:

Therefore, a possible answer is:

Given that:

- The probability that an individual is left-handed is 12%.

- There are 30 students in the class.

You need to use this Binomial Distribution Formula, in order to find the probability of finding exactly 4 left-handed students :

Where "n" is the number being sampled, "x" is the number of successes desired, and "p" is the probability of getting a success in one trial.

In this case:

Therefore, by substituting values into the formula and evaluating, you get:

Hence, the answer is:

Answer:

[tex]{ \tt{ = 2f + 6f}}[/tex]

- Factorise out f as the common factor;

[tex]{ \tt{ = f(2 + 6)}} \\ = 8f[/tex]

Therefore, it has exactly one solution.

Let the unknown number be "x"

We will write an algebraic equation from the word problem given. Then we will solve for "x".

Given,

Sum of number (x) and 4 times the reciprocal is 13/3

We can convert it into an algebraic equation:

Now, let's solve for the unknow, x,

The numbers are

Answer:

Step-by-step explanation:

We have the sequence: 8, -2, -12...

We can prove that this is an arithmetic sequence as there is a common difference d=-10 between consecutive terms.

Then, the recursive formula (the expression where the value of a term depends on the value of the previous term) can be written as:

Answer: the recursive formula is a1 = 8, a(n) = a(n-1) - 10

If you want to save $500 in two years, you need to save $20.58 per month with a 1.25% interest compounded monthly.

The monthly savings can be determined using an online finance calculator as follows:

N (# of periods) = 24 months (2 x 12)

I/Y (Interest per year) = 1.25%

PV (Present Value) = $0

FV (Future Value) = $500

Results:

Monthly Savings = $20.58

Sum of all periodic savings = $494.04

Total Interest = $5.96

Thus, the investor needs to save $500 in two years to save $20.58 monthly.

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In order to calculate the value of the equation, let's first use the values of x = -2 and y = -3 in the equation and then calculate every operation:

Therefore the final result is -45.

Ok, so

First of all, we got that the wound was measured to be 0.8cm.

This measurement equals to:

0.8cm is equal to 8 millimeters.

Now, the greatest possible error in a measurement is one half of the precision (smallest measured unit).

8 mm was measured to the nearest 1 mm, so the measuring unit is 1 mm.

So, one half of the precision (1mm) is 0.5

Therefore, the greatest possible error is 0.5 mm

Equation:

The vertex is given by the following formula:

where the vertex is (h, k). Thus, in our equation k = -1 and h = 5, and the vertex

is (5, -1).

Additionally, the focus is given by (h+p, k). In our case:

Then, the focus is:

Simplifying:

The directrix is x = h - p:

Finally, the axis of symmetry is y = -1.

Linear pair angles form a straight line, so, both angles add up to 180°.

1 and 2 are not a linear pair.

4 and 5 are a linear pair.

Vertical angles are opposite angles, that are equal.

1 and 4 are vertical angles

3 and 5 are NOT vertical angles-

The net present value of the project of the company Alpha Industries is $494,918.

Given,

The initial cost of the project = $7.9 million

Cost of debt = 5.58 percent

Cost of equity = 11.25 percent

The debt-equity ratio= .59

Tax rate = 40 percent.

Let us assume

Equity be $x, then

Total = $1.59x

Respective weights =  Pretax cost of debt × (1 - tax rate)

=5.58% × (1 - 0.4)

Respective weights = 3.348%

WACC = Respective costs × Respective weights

WACC = (x ÷ 1.59x × 11.25%) + (0.59x ÷ 1.59x × 3.348)

WACC = 8.318%

The present value of annuity = Annuity × (1 - (1 + interest rate)^ - time period] ÷ Rate

=1.63 × [1 - (1.08317811321)^-7]÷ 0.08317811321

= $1.63 × 5.150256501

The present value of annuity = $8,394,918.10

The net present value = The present value of  cash inflows - The present value of cash outflows

= $8,394,918.10 - $7,900,000

The net present value of the the project = $494,918

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So, here we have the following expression:

The first thing we need to notice before simplifying, is that the denominator can't be zero.

As you can see,

These are the restrictions on the given variable.

Now, we could start simplyfing factoring each term:

This is,

So, the answer is:

It could be also written as:

Let l be the length of the rectangle and w its width.

From this, we have:

I) w - l = 5

II) l*w = 33

From I, we have w = 5 + l

Applying this to equation II, we have: l(5+l) = 33

l^2 + 5l - 33 = 0

The positive root of this equation is l = [sqrt(157) - 5]/2 = 3.8 yd (rounded to the nearest tenth)

Applying this to equation I, we have: w - 3.8 = 5, which implies w = 5 + 3.8 = 8.8 yd

To graph a line we need two points, to find a second one we need the equation of the line. The equation of a line is given by:

Plugging the values given we have:

Once we know the equation of a line we find a second point on the line, to do this we give a value to x and use the equation to find y. If x=1, then:

Then we have the point (1,1).

Now that we have two points of the line we plot them on the plane and join them with a straight line. Therefore the graph of the line is:

Answer of a is €3.8

Answer of b is €8

Solution :

To get the answer add two decimal number

ie.  the sum of first question is €1.76 + €2.04 = €3.8

the sum of second question is €5.62 + €2.38 = €8

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Using the simple interest formula, the value of time (t) is 103 years.

So, the simple interest rate formula:

We need to find the value of time (t), then the formula will become:

Insert the values as follows:

Rounding off: t = 103 years

Therefore, using the simple interest formula, the value of time (t) is 103 years.

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Given

A(11,9)

B(11,3)

C(5,3)

D(5,9)

In the coordinate system (x,y), x determines the horizontal position, and y determines the vertical position. Having a translation of 9 units left, and 1 unit down, means that each coordinate system will be translated as (x-9 , y-1).

Therefore, the coordinates of the post image are A'(2,8), B'(2,2), C'(-4,2), D'(-4,8).

Let's define the following variable:

t = number of hours for them to be 2 miles apart

Distance covered by Person A after "t"hours would be 2t or 2 miles times "t" hours.

Distance covered by Person B after "t" hours would be 6t or 6 miles times "t" hours.

If the distance of Person A and B is 2 miles apart after "t" hours, we can say that:

From that equation, we can solve for t.

Therefore, at t = 0.5 hours or 30 minutes, the two persons 2 miles apart.

At 0.5 hours, Person A will

We will have the following:

So, the radius is approximately 26.4 inches.

Consider x as Takao's fourth score.

Then, to achieve an 87 average, we have:

Answer:

c. 85

The value of -5 ( -10-2(-3)) to the 2nd power is -6480.

It should be noted that an exponent simply means the number through which another number can be multiplied by itself.

Based on the information given, it should be noted that PEDMAS will be used. This implies:

P = parentheses

E = Exponents

D = division

M = multiplication

A = addition

S = subtraction

-5 ( -10-2(-3)² will be illustrated thus:

It's important to calculate the value in the parentheses first according to PEDMAS.

= -5 [(-12(-3)]²

= -5 (36)²

= -5 × 1296

= -6480

The value is -6480.

In this case, the concept of PEDMAS is used to get the value.

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The reference angle of x is -60 degree. The exact values of sin x, tan x, and sec x is [tex]$\sin \left(-60^{\circ}\right)=-\frac{\sqrt{3}}{2}$[/tex], [tex]$\tan \left(-60^{\circ}\right)=-\sqrt{3}$[/tex], [tex]$\sec \left(-60^{\circ}\right)=2$[/tex]

[tex]x=-\frac{16 \times 180}{3}$$[/tex]

Multiply the numbers: [tex]$16 \times 180=2880$[/tex]

[tex]$x=-\frac{2880}{3}$[/tex]

Divide the numbers: [tex]$\frac{2880}{3}=960$[/tex]

x=-960

Or, x = 2 [tex]\times[/tex] 360 - 960

Follow the PEMDAS order of operations

Multiply and divide (left to right) 2 [tex]\times[/tex]360 : 720 =720-960

Add and subtract (left to right) 720-960: -240

x= -240

Reference angle =180-240

Reference angle= -60

Sin (-60 degree)= [tex]$\sin \left(-60^{\circ}\right)=-\frac{\sqrt{3}}{2}$[/tex]

[tex]$\tan \left(-60^{\circ}\right)=-\sqrt{3}$[/tex]

[tex]$\sec \left(-60^{\circ}\right)=2$[/tex]

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We have the following integral in the discrete sum form:

In the interval [-9, 6].

To convert to the integral form, we convert each element of the discrete sum form:

Replacing these in the formula above, we get the integral form:

The required values of given the trigonometric functions are sin(A + B) = -100/2501 and sin(A - B) = -980/2501.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We have been given that the trigonometric function

sin (A) = -60/61 and cos(B) = 9/41

So cos (A) = √1 - (-60/61)² = 11/61, and sin(B) = √1 - (9/41)² = 40/41

To compute  the trigonometric functions sin(A + B) and sin(A - B)

⇒ sin(A + B) = sinA cosB + cos A sinB

⇒ sin(A + B) = (-60/61)(9/41) + (11/61)(40/41)

⇒ sin(A + B) = -540/2501 + 440/2501

⇒ sin(A + B) = -100/2501

⇒ sin(A - B) = sinA cosB - cos A sinB

⇒ sin(A - B) = (-60/61)(9/41) - (11/61)(40/41)

⇒ sin(A - B) = -540/2501 - 440/2501

⇒ sin(A - B) = -980/2501

Thus, the required values of given the trigonometric functions are sin(A + B) = -100/2501 and sin(A - B) = -980/2501.

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a) We rewrite the right side of the expression as:

So we see that the expression of point a is FALSE.

b) We consider the expression:

We take the logarithm in base b, we get:

We see that the logarithm of a number x to a base b is just the exponent you put onto b to make the result equal x. We conclude that this expression is TRUE.

c) We know that in any base a, we have:

We conclude that the expression of this item is FALSE.

d) Logarithms are defined only for numbers greater than 0. So we conclude that this expression is FALSE.

e) We consider the expression:

Applying the properties of logarithms, we get:

We see that this expression is TRUE.

a) FALSE

b) TRUE

c) FALSE

d) FALSE

e) TRUE

ANSWER:

A=25.1 degrees

b = 1.8

C = 121.9 degrees

SOLUTION:

We can solve this problem using the cosine law, since we are given the length of 2 sides of triangle and the angle they formed.

We substitute the given

Using Sine Law, we can get the angles

Since the total angle inside a triangle is 180, the angle at C is