6ft 3ft 8ft 16ft area of irregular figures

Integers are whole numbers. They are either positive or negative

Even numbers are numbers that are completely divisible by 2 without a remainder.

Even numbers could be 2, 4, 6, 8, 10. the list goes on

If 2n is the largest even integer in the given sequence, then the lesser consecutive even integers would be

2n - 2

2n - 2 - 2 = 2n - 4

Three consecutive even integers of which the largest is 2n​ are

2n - 4, 2n - 2, 2n

Given:

f(x) = x^2 + 4x + 4 and g(x) = x^2 - 2x - 8.

we are to find the domain of (f/g) (x)

before we find the domain of the function, its best we know what a domain is.

The Domain of a function is the set of all possible inputs for the function. it can also be seen as the set of input or arguement values for which the function is real and defined.

recall that we have x + 2 as our the simplest form

x - 4

so the domain we wil be looking for is x + 2

x - 4

so we have to take t denominator of the above and compare to zero

x - 4 = 0

x = 4

so this is undefined

the function domain

x < 4 or x > 4

so the domain is:

(- infinity, 4) U (4, infinity)

The correct option is A.

The first thing we have to know is that pi= 180º

From this value of 1035 we must subtract 360 for each turn of the circumference until it gives us a value less than 360

So the first answer would be

Using the same methodology the following angles would give

The area of a parallelogram is given by the equation:

Where b is the base of the parallelogram and h is the height.

In this case, b=1/2 in and h=8in, then:

Therefore, the area of the described parallelogram, is:

You have the next equation:

Data: P=1.5

How much does that smoker spend on cigarettes:

Each day: As T is amunt of time in days, to find how much that smoker spend on cigarettes in one day you: Sustitute the T by 1 in the equation:

T=1day

Each week: A week have 7 days

T=7days

Each 30 day month:

T=30 days

Each 365 day year:

T=365 days

1. replace f(x) with y:

2. Replace every x with a y and replace every y with an x:

3. Solve for y:

4. replace y with f-1(x):

Let 'x' be the amount of nickels Anna has, and 'y' the amount of dimes.

If she has '4 more nickels than dimes' this is:

And the total amount is $1.25, that can be written as:

If we replace the equivalence between y and x here we get:

The correct answer is option C

We are given a circle with a diameter of 72 ft. We are asked to determine its area. To do that we will use the following formula:

Where "D" is the diameter. Replacing the values:

Solving the operations:

Now we are asked to determine the circumference of the circle, to do that we use the following formula:

Replacing the values:

Solving the operations:

Since the circumference is the measure of the longitude of the circle, if it were to be surrounded by tape this is the measure we would have to use.

The required three options accurately represent the statement are options b, c, and e.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
According to the question,
A negative 3 less than 4.9 times a number, x, is the same as 12.8.
12.8 = 4.9x -(-3)
which matched with options b, c, and e.

Thus, the required three options that accurately represent the statement are options b, c, and e.

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The Solution:

Given that a line is horizontal.

We are asked to determine whether it is true or false that the line has no x-intercept.

Clearly, horizontal lines do not hintercept with x-axis.

Therefore, there is certainly no x-intercept.

Thus, the correct answer is [TRUE]

We have a whale that swims 80 ft below the surface and then goes up 40 ft.

We can describe her trajectory from surface (y=0) to 80 ft below (y=-80) and then 40 ft up (y=-80+40=-40).

The correct interpretation is Option D: the equation is -80+40=-40. The whale is 40 ft below the surface.

Explanation:

Question:

What statements are true regarding undefine terms in geometry

A point has no length or width.

This is true because a point cannot have a dimension

A plane consists of an infinite set of lines.

This is not true because from the definition of a plane, it must have an infinite set of lines or points.

A plane has one dimension, length

This statement is not true because a line is a one dimensional object and as such can only have one dimension which is its' length.

A point indicates a location in a coordinate plane.

This statement is true because any point located on a plane must have an ordered pair of an x and y coordinate

A line has a define begging and end

This is not true because A distance along a line must have no beginning or end.

A line consists of an infinite set of points

This is not true becaue a plane consists of an infinite set of points

Hence,

The final answers are

A point indicates a location in a coordinate plane.

A point has no length or width.

The recipe yields:

8400 calories in total.

Those 8400 calories are equally divided into 40 mini-cupcakes. Then, each mini-cupcake has

210 calories for each mini-cupcake.

Therefore, 4 mini-cupcakes contain:

The answer is 840 calories

The price of a pair of tires is $130.56. We want to know the price of ten tires. Ten tires, is the same as five pairs of tires, then, since we know the price of a pair the price of five pairs will be just five times the price of the pair.

The price of five pairs is:

$652.80.

From the given data we know that

owners own a dog, but out of those,

own both a cat and a dog.

Therefore, the number of pet owners that own only a dog is

Answer:

Solution

The function is written in factored form

Using vertical asymptote at x = 3 opposite end behaviour

vert asymp at x=2 same end behavior, bounce off x axis at x=1, y int at -1/2

Therefore the numerator is : -6(x-1)²

The denominator is : (x+3)(x-2)²

Answer: n = 42

Step-by-step explanation:

3 (42 - 6)= 126 - 18

= 108

2(42+12) = 84+24

= 108

In overall, the second equation is not greater than the first equation

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.

In radians this are

To find the complement of 3π/4, subtract it by π/2

To find the supplement of 3π/4, subtract it by π.

The value of k associated to the cubic equation f(x) = x³ + k · x + 5 is equal to - 6.

In this question we have a cubic equation of the form f(x) = x³ + k · x + 5 and we need to determine the value of k such that the binomial x + 1 is a factor of f(x). A value of x is a factor of the polynomial if and only if the following expression is observed:

f(x) = 0, for x = a

If we know that x = 1 and f(1) = 0, then the value of k is:

1³ + k · 1 + 5 = 0

k + 6 = 0

k = - 6

The cubic equation has a value of k equal to - 6.

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The given expression : -8.2d + 28.1 = 3.6d

Simplify the expression for the d :

-8.2d + 28.1 = 3.6d

Subtract 3.6d on both side of the equation

-8.2d -3.6d + 28.1 = 3.6d -3/6d

-11.8d + 28.1 = 0

Subtract 28.1 on both side :

-11.8d + 28.1 - 28.1 = -28.1

-11.8d = -28.1

Multiply both side by ( -1)

(-1) ( -11.8d) = (-1)(-28.1)

11.8d = 28.1

Divide both side by 11.8

11.8d/11.8 = 28.1/11.8

d = 2.38

Answer : d = 2.38

In order to determine the amount of money Rain, Kevin and Eric have, write the given situation as an algebraic equation.

If x is the money of Raina, y the money of Kevin and z the money of Eric, you have, based on the given problem, the following equations:

x + y + z = 66 All of them have a total of $66

y = 3z Kevin has 3 times what Eric has

x = z - 9 Raina has $9 less than Eric

Replace the expressions for x and y into the first equation and solve for z, as follow:

(z - 9) + (3z) + z = 66

z - 9 + 3z + z = 66

3z = 66 + 9

3z = 75

z = 75/3

z = 25

Next, replace the previous value of z into the expressions for x and y:

y = 3(25)

y = 75

x = 25 - 9

x = 16

Hence, the amount of money each of them has is:

Raina: $16

Kevin: $75

Eric: $75

The valve was designed to produce a mean pressure of 4.4, this means that our null hypothesis has to be:

Since we want to determine if there is sufficient evidence that the valve is aboce the specifications, this means that we want to determine if the mean is greater than 4.4, that is, the alternartive hypothesis is:

Given function:

The minimum value of the function can be found by setting the first derivative of the function to zero.

Solving for x:

Substituting the value of x into the original function:

Hence, the minimum value in the given range is (-1, -0.368)

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

Verify each table

Remember that

In a proportional relationship, the linear equation passes through the origin (0,0)

we have that

Am B and C passes through the origin

so

I will check table D

we have the points

(10,30) and (15,45)

Find the slope

m=(45-30)/(15-10)

m=15/5

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (10,30)

substitute

30=3(10)+b

b=0

y=3x

Verify with this equation for the other points

For x=100

y=3(100)=300 ----> is ok

For x=200

y=3(200)=600 ----> is ok

that means

table D is proportional

Verify table C

we have

(0,0) and (1,3)

m=(3-0)/(1-0)

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (0,0)

y=3x

Verify the other points

For x=2

y=2(3)=6

6 is not equal to 9

that means

table C is not proportiona

answer is C

table 4 . Direct Variation, constant of proportionality =8

Table 5: No. There is not a direct variation, for the growth is not at a constant factor.

1) To state whether there is a direct variation, we need to examine each row to stat how it increases or decreases

2) So for table 4

x y

3 24

4 32

5 40

6 48

For this, we can write a linear function y=8x

Yes. Direct Variation. Constant of proportionality 8

Table 5

x y

185 60

235 100

285 140

335 180

No. There is not a direct variation, for the growth is not at a constant factor.

Table 6

x y

5 12.5

10 25

15 37.5

20 50

We can set a linear function for that y=5/2 x

Yes. Direct Variation. Constant of proportionality 5/2 (2.5)

Table 7

x y

2 4

3 5

4 6

5 7

There is not a direct variation, for the growth is not at a constant factor.

For an angle a in the fourth quadrant, the reference angle is given by:

360º - a

The angles in the fourth quadrant are those between 270º and 360º. So, 342º is in the fourth quadrant, and its reference angle is:

360º - 342º = 18º

Therefore, the third option is correct.