Solve for x:
A) 27
C) 39
E) 30
79⁰
(2x+1)
B) 23
D) 35

We are given a linear function:

f(x) = 2 x + 3

We are also given the domain of the function as:

Domain = (-4, 5)

We need to find the range of the function and draw its graph.

For x = -4, the value of function will be:

f( -4) = 2 (-4) + 3

f( -4) = - 8 + 3

f( -4) = - 5

For x = 5, the value of function will be:

f( 5) = 2 (5) + 3

f( 5) = 10 + 3

f( 5) = 13

So, the range will become:

( -5, 13)

The graph of the function with points:

x        y

1        5

2       7

3       9

Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).

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Answer:

"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"

Answer:

No.

Step-by-step explanation:

They can't have the same surface area, because the surface area is a 2-dimensional measure of a 3-dimensional object(for the most part), while the volume is 3-dimensional, so they would not share the same surface area due to them being mostly different structures despite having the same amount of cubic units.

➲ Hope this helps. Address concerns if needed.

Answer:

d

Step-by-step explanation:

(1,8) is the coordinates of midpoint so ×2 and - one of the x z is ok

1×2 -(-10) = 12

8×2-(-12) = 28

The equation (2/5)*a - (3/4)*b = c solved for the variable a is:

a = (5/2)*(c + (3/4)*b)

Here we have the equation:

(2/5)*a - (3/4)*b = c

Where a, b, and c are variables.

Here we want to solve this equation for the variable a, this means that we need to isolate that variable in one side of the equation, so let's do that.

First, we need to remove the other term, then we can add its opposite in both sides of the equation so we get:

(2/5)*a - (3/4)*b + (3/4)*b = c + (3/4)*b

(2/5)*a = c + (3/4)*b

Now we need to remove the factor that multiplies the variable, we can do that by multiplying both sides of the equation by its inverse, whic is 5/2, if we do that we will get:

(5/2)*(2/5)*a = (5/2)*(c + (3/4)*b)

a = (5/2)*(c + (3/4)*b)

This is the equation solved for the variable a.

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Answer:

I think the answer is B.

Step-by-step explanation:

Hope this helps!

Using the mean concept, it is found that due to the highest average, Priya should go to the championship.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Each of the girls had 6 jumps, and their means all given as follows:

Due to the highest average, Priya should go to the championship.

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Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Huilan: x-11

Thomas: x(Assume)

Their Sum = 31

Huilan+Thomas = 31 ...(1)

Possible Equation: x+x-11= 31 ...(2)

Solved:

2x-11= 31

2x = 31+11

x = 42/2

x = 21

Therefore, Thomas' Age is 21.

Answer:

31) C, D, F
32) B
33) A, F
34) D, E
35) D

Step-by-step explanation:

Adjacent angles are angles that share the common vertex and side.
Vertical Angles are angles that are opposite of each other.
Complementary Angles are angles that equal to 90°
Supplementary Angles are angles that equal to 180°
A Linear Pair are 2 angles that make up a straight line.

Answer:

1. p, 7p, -4p, and 5p

2.2uv to the second power, and uv to the second power

Step-by-step explanation:

Answer:

a =3

Step-by-step explanation:

The number before the x is the slope.  Parallel lines have the same slope.

Answer:

Step-by-step explanation:

Answer:

(f-g)=3x-7

Step-by-step explanation:

First find f-g

4x-3 - x+4

This becomes 3x-7

The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.

The derivative is given by:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]

For this problem, we have that:

Hence:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]

The limit of a constant is the constant, hence f'(x) = 1.

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The expression of the mathematical statement is  3y - 2 + x = 9

The mathematical statement is given as

Three times the number which is two less than x is nine

Let the number be y

So, we have

Three times y which is two less than x is nine

Express as an equation

Three times y which is two less than x = 9

Represent the statements as an expression

So, we have

3y - 2 + x = 9

Hence, the expression of the mathematical statement is  3y - 2 + x = 9

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Option c: The following should be followed to the target market for a travel agency service

profile target customer segment, identify business needs, total segment market, research and validate marketing opportunity.

A target market is a group of people identified as the most likely potential customers for a product because of their shared characteristics such as age, income, and lifestyle. Identifying the target market is a vital part of the decision-making process when a company designs, packages, and advertises its product.

Marketing professionals divide consumers into four major segments:

Demographic: These are the main characteristics that define your target market. Everyone can be identified as belonging to a specific age group, income level, gender, occupation, and education level.

Geographic: This segment is increasingly relevant in the era of globalization. Regional preferences need to be taken into account.

Psychographic: This segment goes beyond the basics of demographics to consider lifestyle, attitudes, interests, and values.

Behavioral: This is the one segment that relies on research into the decisions of a company's current customers. New products may be introduced based on research into the proven appeal of past products.

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For the given system of inequalities,  x represents the number of brownies and y the number of cookies.

And the graph can be seen in the image below.

Here we have the system of inequalities:

4x + 6y ≥ 200

x + y < 75.

We know that they want to make less than 75 items, that is what the second inequality:

x + y < 75.

Represents.

We also know that each brownie  costs $4, and each cookie costs $6, then the expression:

x*4 + y*6

Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:

x*4 + y*6 ≥ 200

So we conclude that x represents the number of brownies and y the number of cookies.

Now the system is:

4x + 6y ≥ 200

x + y < 75.

To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:

y ≥ (200 - 4x)/6

y < 75 + x

Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.

The solutions to the systems are in the region where both shaded parts intersect.

There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.

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Answer:Half of 51/8 is 51/16 (you multiply 51/8 by 1/2 and that is your answer.)

Now back to mixed number

51/16 = 3 3/16

So final answer is 3 3/16.

Step-by-step explanation:

To find half of 6 3/8.

6 3/8 is a mixed number.

First will change into fraction.

6 3/8 = ((8*6)+3)/8 = 51/8

(Convert the mixed number 6 3/8 into an improper fraction first by multiplying the denominator (8) by the whole number part (6) and add the numerator (3) to get the new numerator. Place the new numerator (51) over the old denominator (8).)

Answer: It's just a line

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

3x - 7x - 16 = -4x + 5 - 16

combine like terms

-4x - 16 = -4x - 11

move the terms with variables to one side and constants to the other

add 4x to move it

-4x + 4x = 0

-16 = - 11

this is not possible so there is no solution

Answer:

0=5

Step-by-step explanation:

3x - 7x - 4x + 5 - 16

-4x - 16 = -4x + 5 -16

-4x - 16 = -4x -11

-4x -16 + 16 = -4x - 11 + 16

-4x = -4x + 5

-4x + -4x = -4x + 5 + 4x

combine like terms

repeat that

0 = 5

please correct me if I'm wrong

Answer:

Step-by-step explanation:

Factor out 2 of 12: (2(6x)-6)/2

Factor out 2 of -6: (2(6x)+2*-3)/2

.......

Final = 6x-3

Solution : [tex]F(n)= (320) 1.25^{n-1}[/tex]

In Maths, Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern. Also, learn arithmetic progression here. The common ratio multiplied here to each term to get a next term is a non-zero number. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) by the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

Note: It is to be noted that when we divide any succeeding term from its preceding term, then we get the value equal to the common ratio.

Suppose we divide the 3rd term by the 2nd term we get:

ar2/ar = r

In the same way:

ar3/ar2 = r

ar4/ar3 = r

General Form of Geometric Progression

The general form of Geometric Progression is:

a, ar, ar2, ar3, ar4,…, arn-1

Where,

a = First term

r = common ratio

ar^(n-1) = nth term

On the first day, the video was viewed = 320 times.

the number of views was 25% more than the day before which means increasing 1.25 per day.

G.P.

Where common ratio r = 1.25

First term = f(1) = 320

The formula of nth term in G.P. =

[tex]F(n)= f(1) r^{n-1}[/tex]

So, nth term of the given situation :

[tex]F(n)= (320) 1.25^{n-1}[/tex]

Where f(n) denotes the number of views on an nth day.

[tex]F(n)= (320) 1.25^{n-1}[/tex]

So, the number of views Vera's video got on an nth day =

[tex]F(n)= (320) 1.25^{n-1}[/tex]

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Answer:

The distance is 10

Step-by-step explanation:

If P||Q and T is a transversal, then ∠1=∠5 can be justified through Corresponding angle postulate. Thus, correct option is option A.

The Corresponding angle postulate states that if two lines are drawn on plane which are parallel to each other and dissected by a line passing through them at any angle then the corresponding angle of both the parallel lines will be equal to each other and hence would be congruent.

Here, P||Q and P and Q are dissected by the line T at some angle therefore to prove that ∠1=∠5 we go by the following steps:

∠4=∠5 as they are alternate interior angles.

and ∠1=∠4 as they are vertically opposite angles.

Thus, ∠1=∠5 and they are corresponding angles.

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Answer:A is the answer

Step-by-step explanation: I took the test and got it right!

Answer:

Step-by-step explanation:

You want the number of terms and the second coefficient in the expression ...

  -3a +30b

In a simplified polynomial expressed as a sum of products, each of the products is a "term." This expression has two terms:

The sign separating terms in the sum is generally considered to be part of the following term. If this were written 30b -3a, one of the terms would still be -3a.

If each variable value is set to 1 in a term of a polynomial expression, the resulting value is the coefficient of that term. In general, this will be the numerical multiplier of the variables.

  30b = 30(1) = 30 . . . . . when b=1

The coefficient of the second term is 30.

The algebraic expression for the length of QR​ is 5y+20.

Given that The algebraic expression for the length of PR​ is  13y+25 , The algebraic expression for the length of PQ​ is 8y+5 and asked to find The algebraic expression for the length of QR​.

The algebraic expression for the length of PR​ is  13y+25

PR=PQ+QR

⇒The algebraic expression for the length of PR​ =The algebraic expression for the length of PQ + The algebraic expression for the length of QR

QR=PR-PQ

⇒The algebraic expression for the length of QR=The algebraic expression for the length of PR - The algebraic expression for the length of PQ

⇒The algebraic expression for the length of QR=13y+25 -  8y+5

⇒The algebraic expression for the length of QR=5y+20

Therefore,The algebraic expression for the length of QR​ is 5y+20.

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Given that Point F is on line segment EG, the Length of segment EF is 4.

A line segment is simply part of the line that connects 2 points.

Given the data in the question;

Since Point F is on line segment EG, length of segment EG equals the sum of length of segment EF and length of segment FG.

Length of segment EG = Length of segment EF + Length of segment FG

Hence;

12 = Length of segment EF + 8

Subtract 8 from both sides and simplify

12 - 8 = Length of segment EF + 8 - 8

12 - 8 = Length of segment EF

4 = Length of segment EF

Length of segment EF = 4

Given that Point F is on line segment EG, the Length of segment EF is 4.

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Work below!

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This ratio is simply doubled. Here's how I did it:

8 / 4 = 2, so it's multiplied by 2.

1 x 2 = 2, therefore the answer is 8:2!

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Hope this helped! :)

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