A linear function is shown on the graph
6
What is the domain of the function?
O(x10≤x≤4)
O(x10 Oy 12sy≤6)
0012 Question 1 (Answered)

The result when 4a² - 3a + 4 is subtracted from 3a² - 7a + 6 is
(-1)a² + (-4)a + 2.

What is subtraction?
The act of deleting items from a collection is represented by subtraction. The negative sign ("-") stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

Given, the minuend for the situation is= 3a² - 7a + 6
The subtrahend for the situation is= 4a² - 3a + 4
Therefore, the subtraction= Minuend - Subtrahend
= (3a² - 7a + 6) - (4a² - 3a + 4) = (-1)a² + (-4)a + 2
Thus, the result is (-1)a² + (-4)a + 2.

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The Variance of the given data set given the sample mean as 7 is; C: 10

We want to find the variance of the given data and the formula is;

Var = ∑(x_i - x)²/(n - 1)

From the table, we see that;

∑(x_i - x)² = 4 + 4 + 16 + 0 + 16

∑(x_i - x)² = 40

Now, the number of terms is 5 and as such;

Variance = 40/(5 - 1)

Variance = 40/4

Variance = 10

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B. 3

1) Let's examine Juan's work

4+5 = 9 Multiplying the left side

(4+5)*3 =9

27 = 9 Divide only the right side by 3

9 = 3 False!

2) Then we can state that

B.

The only way Juan can maintain equality is by multiplying the right side by

3

27= 9

27 = 9 x 3

27 = 27 True!

3) The answer is B and 3.

The possible side lengths of HJK are 6,9,12

Mathematically, when two triangles are similar, then the ratio of their sides are equal

For the first triangle, we have the side dimensions of 4, 6 and 8

This can be written in its lowest ratio as 2:3:4

Any triangle that would be of similar measure should have dimensions of same ratio

Thus, we have this as;

6:9:12

If we reduce this ratio using 3, we will have 2:3:4

Answer: 8

Step-by-step explanation:

Answer:

D (1, 7)

Step-by-step explanation:

From equation 2

y = (-4 + y)/3

Plug this value into the first equation which will give an equation involving only y. Solve for y which should give y = 7

Plug this value of y = 7 into 3x -y = -4

=> 3x - 7 = -4

=> 3x = 3

x = 1

So solution is x =1, y = 7 which can be represented as (1, 7)

For the functions f(x) and g(x), the two compositions are:

Here we have the next two functions:

f(x) = x² + 5

g(x) = 3x

The compositions are:

(f o g)(x) = f( g(x))

So we need to evaluate the function f(x) in g(x), this will give:

(f o g)(x) = f( g(x)) = g(x)² + 5

(f o g)(x) = (3x)² + 5

(f o g)(x) =  9x² + 5

The other composition is:

(g o f)(x) = g( f(x)) = 3*f(x)

(g o f)(x) = 3*(x² + 5)

(g o f)(x) = 3x² + 15

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ANSWER

E. None of these

EXPLANATION

We want to find the converse of the statement.

A statement is made up of an hypothesis, then a conclusion.

So the converese is found by switching the hypothesis and the conclusion.

The statement given is:

If it is raining then we will go to the beach

The converse of this statement will therefore be:

If we will go to the beach then it is raining

The answer is Option E since the converse is not among the other options.

Notice that the graph of

is the graph of

reflected over the x-axis.

Now, the graph of the parent function is:

therefore, the graph of f(x) is:

Answer:

38

Step-by-step explanation:

multiply 14.25 with 4 tgeb divide by 1.5

By applying the Empirical Rule, the value of x is equal to: A. 8.

The Empirical Rule is also known as the 68-95-99.7 rule and it simply refers to a statistical rule which states that the middle 95% of a normal distribution would be within two (2) standard deviations of its mean.

This ultimately implies that, 95% of a normal distribution would fall within two (2) standard deviations of its mean in accordance with the Empirical Rule.

By applying the Empirical Rule, the value of x is given by:

x = μ + 2σ

Substituting the given points into the formula, we have;

x = 4 + 2(2)

x = 4 + 4

x = 8.

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Complete Question:

Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean?

8

10

7

6

To calculate the percentage error, the following formula would be applied;

ANSWER:

The percentage error, as shown in the calculations above is 3.5 % (to the nearest tenth of a percent)

Data input

After 2 min

Roger 8 hot dogs

Novak 7 hot dos

Then,

Roger 3 hot dogs each minute

Novak 4 hot dogs each minute

Equation:

Roger < Novak

8+3m < 7+4m

The answer would be option B. 8 + 3m < 7 + 4m

Answer:

6 cups

Step-by-step explanation:

The total amount that was raised by the volleyball team is  $1,225.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign that is used to represent percentages is %.

The first step is to determine the total number of snacks sold.

Total number of snacks sold = number of pretzels and cheese puffs sold / percentage representing pretzels and cheese puffs

210 / (10% + 20%)

210 / 30%

210 / 0.30 = 700

The second step is to multiply the total number of snacks by the cost per snack

Total cost of the snacks = cost per snack x total number of snacks

700 x $1.75 = $1,225

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Answer:

If you're solving for x and y, the answers are there!

Step-by-step explanation:

Hope this helps!

Definition of segment bisector.

What question? It might just be a glitch for me, but I don't see any question. Maybe your forgot to add an image?

Answer:

- The set-up fee is $50 ---- True

- The organizers were given a 10% discount on the catered meal. ---- True

Explanation:

Given that the expression that represent the total cost of a catered meal at a conference is;

The organizers of the conference were given a reduction in the cost of the catered meal due to the size of the event.

let a represent the percentage discount;

Sales tax was charged on the reduction price;

let b represent the sales tax;

The organizers were also charged a set-up fee.

Let c represent the set-up fee;

Comparing to the given equation;

So,

discount = 10%

sales tax = 4%

set up fee = $50.

Now let us determine which of the given options are true;

- The cost of the catered meal was less than the set-up fee -- Not enough information, Probably false.

- The sales tax rate was 10% -- false ( sales tax rate is 4%)

- The set-up fee is $50 ---- True

- The organizers were given a 10% discount on the catered meal. ---- True

Answer:

Step-by-step explanation:

What is the determinant of H=[ matrix 2&4&9\\ 3&3&1\\ 4&5&3 matrix ]? 15 18 154 169Question

What is the determinant of H=[ matrix 2&4&9\\ 3&3&1\\ 4&5&3 matrix ]? 15 18 154 169

The proportion that represents the down payment is 20% or 0.2 of the condominium's value.

2. The down payment is $25,000.

The down payment is the proportion required to secure a purchase transaction.

The down payment is an upfront cost that the purchaser settles in cash before being granted a long-term credit (loan or mortgage).

The purpose of a down payment is to reassure the lender of the borrower's ability to repay the loan.

To compute the down payment, apply the down payment percentage or proportion to the value of the asset.

The cost of the condominium = $125,000

Down payment = 20%

20% = $25,000 ($125,000 x 20%)

Mortgage loan = $100,000 ($125,000 - $25,000)

Thus, in this situation, the down payment is 20% of the cost of the property.

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Given:

The ages of people who attend a local church are normally distributed.

The mean age = μ = 39.5

And the standard deviation = σ = 18

The sketch of the normal curve will be as follows:

As shown the peak of the curve at the mean value = 39.5

and the distance between the consecutive numbers = 18

now, we will find the probability that a person chosen at random from this church is ages 21.5 or younger

So, we will find P( x < 21.5)

As shown, from the graph:

The answer will be = 0.1587

The expression is given as

lnx=2.

To find the antilogarithm of the expression,

To compute the antilogarithm of a natural logarithm, take e to that power.

Hence the antilogarithm of lnx =2 to the nearest ten-thousandths is 7.3891.

Let's begin by listing out the information given to us:

distance between Vincent & Frank = 32km

distance equivalent is given by 1km=0.62 miles​

We will convert the distance from km to miles using the conversion factor:

a) mean = (432 + 543 + 348 + 788 + 823) / 5

= 586.8

rounded = 587

b) median = 348, 432, 543, 788, 823

Median = 543

you. aren't.

alone..........

Given the functions:

We must answer the question for the function:

c) Domain and range

First of all, we must analyze the domain of the function. Because the funcion h(x) is given by the equotient of two functions, f(x) and g(x), the domain of h(x) are all the values of x = 1 for which we have

g(x) ≠ 0. We see that the function g(x) is zero when x = 1 or x = -1. So the domain of the function is:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually) after we have substituted the domain. Plotting the function, we get the following graph:

From the graph, we see that the function h(x) takes all the values from -∞ to +∞. So we conclude that the range of the function is:

a) Zeros

The zeros of a function are the values for which we have h(x) = 0. Looking at the function, we see that it seems to be zero at x = -1 but that number is not in the domain of the function. So we conclude that the function has not any zero.

b) Asymptotes

By definition, an asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. Looking again at the graph of the function, we see that the function has one asymptote at:

d) Continuity

Looking at the domain of the function, we see that the domain is a union of intervals because the function is not defined at the values x = -1 and x = 1. So we conclude that the function is not continuous.

e) Not defined values

As we mentioned in the point of the domain, the function is not defined at the values x = -1 and x = 1. The explanation is the one given in that point.

End behaviour of the function

To find the end behaviour of the function, we can look at the graph, or we can also rewrite the function in the following way:

For x ≠ -1 we can cancel the repeated terms in numerator and denominator, and we get:

If we compute the limits of the function as x → -∞ and x → ∞, we get:

So the end behaviour of the function is y → 0.

Answers

a) The function has not any zeros

b) x = 1

c) Domain = (-∞,-1) U (-1,1) U (1,∞)

Range = (-∞,∞)

d) The function is not continuous.

e) The function is not defined at x = -1 and x = 1

Given in the question:

a.) The first costs $5 upfront and $4 per kilometer.

b.) The second costs $15 plus $3 per kilometer.

Let's generate the equation of each of the car service charges,

Let,

y = total cost of service

x = distance traveled

a.) The first costs $5 upfront and $4 per kilometer.

b.) The second costs $15 plus $3 per kilometer.

Let's determine the driving distance when the two companies charge the same.

We get,

Therefore, the two companies charge the same at a driving distance of 10 kilometers.

Summary:

1. The system of equations.

y = 5 + 4x

y = 15 + 3x

2. The solution.

x = 10

3. Graphing the system of equations.

The equation of the line passing through point (-4,-9) and has a slope -5/4 is 5x + 4y = 40

given data

A line passes through the point (-4,-9)

slope  = -5/4

Ax + By= C

slope = ( y - y1 ) / ( x - x1 )

-5/4 = ( y - 9 ) / ( x - -4 )

-5/4 ( x + 4 ) = ( y - 9 )

-5( x + 4 ) =  4( y - 9 )

-5x + 4 = 4y -36

4 + 36 = 4y + 5x

40 = 4y + 5x

rearranging to suit Ax + By = C

5x + 4y = 40

5x + 4y = 40  is the required equation of the line

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A rotating light is located 14 feet from a wall, then the rate is 45.3492 feet per second.

A rotating light is located from a wall = 14 feet

The light completes one rotation every 4 seconds.

Light's angle is = 10 degrees

Let x be the distance from the bottom of the perpendicular from light to wall to projection of line on the wall at a time t

Then,

tan θ = x/14

x = 14 tan θ

θ = w t = 10°

Where,

Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.

w = angle velocity

So,

w = [tex]\frac{2\pi }{2}[/tex]

w = [tex]\pi[/tex]

Here,

Rate : [tex]\frac{dx}{dt}[/tex] = [tex]\frac{d}{dt} (14tanwt)[/tex]

[tex]\frac{d}{dt}[/tex]tan w t = [tex]sec^{2}[/tex]w t

= 14 *w* [tex]sec^{2}[/tex]w t

= 14*[tex]\pi[/tex]*[tex]sec^{2}[/tex]10°

= 45.3492 feet per second

( round to 4 decimal places )

Therefore,

A rotating light is located 14 feet from a wall, then the rate is 45.3492 feet per second.

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A regular polygon is repeated to create a tessellation known as a normal tessellation. Recognize that the angles and sides of an ordinary polygon are the same. An equilateral triangle, a rectangular shape, or a hexagon can all be used to create regular tessellations.

Tessellations made from or larger than common polygons are known as semi-regular tessellations. Hexagons and equilateral triangles make up the semi-typical tessellation shown in the image. If we concentrate on the hexagons, we can see that the triangles are rotated around the hexagonal components to generate the pattern. It is a three.3.6 tessellation, as determined by our system for naming tessellations. The hexagon is represented by the six and the trees are the two triangles.

Regular polygons of the same size and shape make up regular tessellations. Multiple regular polygons combine to form semi-regular tessellations. There are only eight ways to arrange regular polygons to produce semi-regular tessellations.

Hence we derived the necessary information.

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