50 points
Use the table to identify values of p and q that can be used to facto
x2 + x - 12 as (x + p)(x + 4).
NEED HELP ASAP

The attached diagram represents the required line plot

From the given table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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Answer:

4x+2y

Step-by-step explanation:

x=pounds of olives

y= pounds of feta cheese

Answer:

7 and 8

Step-by-step explanation:

29÷4=7.25 and that is between 7 and 8

The mode for this question is 0

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

Answer:

37.7 in.

Unfortunately, I cannot include the question with the full steps.

Here is the equation:

[tex]\pi * 12 = 37.7[/tex]

[tex]diameter = 12 \: in[/tex]

the circumference of the circle.

[tex]c = \pi \: d[/tex]

[tex]c = \pi \times 12[/tex]

[tex]c = 37.6991118431[/tex]

[tex]c = 37.7 \: in[/tex]

therefore, the circumference of the circle is 37.7 inch.

Answer:

160

sorry if this is wrong

The statement describes the graph

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Graph B represents h(x).

Graph B represents j(x).

From the question, we have the following parameters:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

As, we don't have function of the graphs.

So, all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x).

The graph h(x) and j(x) is represented by graph B.

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The total number of chairs in the eight rows of the conference hall is; 144 chairs.

From the task content;

It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;

Total number of chairs = (8/2) × (2(11) + 7(2))

S = 4 × 36 = 144.

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Answer:

B

Step-by-step explanation:

Gambling is the act of risking something of material value on an uncertain outcome. The people who gamble are totally unaware of the outcome. The outcomes are unpredictable so it is risking something of material to win a something of greater material value.

Answer:

( -1 , -3 ) , ( 4 , -3 ) , (4 , -1 )

Answer:

34.6

Step-by-step explanation:

1) tan(38°)=27/x, then

2) x=27/(tan38°);

x=27/0.78129≈34.558=34.6

Answer:

441,000 dollars after 12 years

Answer:

36,000

Step-by-step explanation:

36,000 plus the 10,500

Answer:

-252

Step-by-step explanation:

assuming that 313, 307, and 301 are the first 3 terms..

By these three numbers we can conclude that the rule is -6

(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)

We find the 42nd term by multiplying our rule by the term number (42)

 -6(42) = -252 

Remember that a negative times a positive is a negative, but a negative times a negative is positive. 

The 42nd term of an arithmetic sequence is 72.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given, the sequence is an arithmetic sequence.

a₁ = 313

a₃ = 301 so n= 3

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

301 = 313 + (3 -1)d

301 = 313 + (2d)

301 - 313 = 2d

-12 = 2d

d = -6

So to find a₄₂:

Then, use the same formula for n = 42

a₄₂ = 313 + (42 - 1) (-6)

a₄₂ = 313 - 246

a₄₂ = 72

Therefore, 72 is the 42nd term of an arithmetic sequence.

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Answer:

[tex]-\frac{1}{128}[/tex]

Step-by-step explanation:

1) Identify the type of sequence this is; whether it is geometric progression, quadratic sequence or linear sequence.

= Geometric progression

2) Find the [tex]n^{th}[/tex] term of this sequence. Every sequence of geometric progression is written in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form, where [tex]u_{1}[/tex] is the first term of the sequence and [tex]r[/tex] is the common ratio. To find the [tex]n^{th}[/tex] term of this sequence, we need to find the common ratio ([tex]r[/tex]) first.

[tex]r = \frac{u_{2}}{u_{1}}[/tex]

[tex]r = \frac{-32}{64}[/tex]

[tex]r = -\frac{1}{2}[/tex]

2.1) Write it in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form.

[tex]u_{n} = 64 * (-\frac{1}{2} )^{n-1}[/tex]

3) Find the [tex]14^{th}[/tex] term by substituting 14 into the [tex]n[/tex]'s.

[tex]u_{14} = 64 * (-\frac{1}{2} )^{14-1}[/tex]

[tex]u_{14} = 64 * (-\frac{1}{2} )^{13}[/tex]

[tex]u_{14} = 64 * -\frac{1}{8192}\\u_{14} = -\frac{1}{128}[/tex]

Answer: The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red graph, g(x)

Step-by-step explanation:

The equation of the blue graph is,

⇒ G (x) = (x + 5)³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The equation of the red graph is

⇒ F(x) = x³

Now, The graph of blue line is 5 units left to the graph of red graph.

Hence, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

Thus, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

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The equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equation of the function f(x) = x² - 1

The equation of the function g(x) = -x² + 4

Let f(x) is the parent function.

To get the equation of the function g(x):

Applying transformation to function f(x)

f(x) → f(x) + 5 (function will shift up side by 5 units)

F(x) = x² - 1 + 5

F(x) = x² + 4

F(x) → -x²  (funtion will reflect about the line y = 4)

g(x) =  -x² + 4

Thus, the equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

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The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

An equation is an expression that shows the relationship between two or more numbers and variables.

A certain circuit is properly fused for a 5-horsepower motor. The number of motor, if several 5/8 horsepower motors is used is given by:

Number of motors = 5 hp ÷ (5/8 hp) = 8 motors

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

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In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

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Answer:

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

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

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Step-by-step explanation:

Answer:

57.15π ft³

Step-by-step explanation:

Volume of a Sphere

Here, radius (r) = 7/2 ft.

Solving

(-5,6)

When a point is reflection a new, prime point (x') is created.

Formula

Whenever a point is reflected over the x-axis it follows a specific rule. The point goes from (x,y) to (x,-y). So, since the point is (-5, -6) we need to switch the sign of the y-value. This creates the new point (-5, 6).

Why?

Another way to remember this formula is to understand where it comes from. When reflecting over the y-axis, a point goes from the top 2 quadrants to the bottom 2 or vice versa. This means that the value is moving vertically. During vertical shifts, there is a change in the y-value. Additionally, because the x-axis is the seperation between negative and positive y-values, the y-value changes signs.

Answer:

12X +3y =12.....equation 1

-6x +y = -26....equation 2

putting the value

in equation 2 multiply by 2

12x +3y =12

-12x +2y = -52

____________

5y = -40

y = -40%5

y = -8

putting the value of y in equation 1

12x + 3y = 12

12x + 3× -8 =12

12x -24 =12

12x =12 + 24

12x =36

x =36%12

x=3

Question 1

Reason: The minute and hour hand form a straight line, or straight angle, which is always 180 degrees in measure.

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Question 2

Reason: Split a pizza into 12 equal slices. Imagine having 3 such pizzas to get 3*12 = 36 slices in total. This leads to the idea that 36*(1/12) = 3.

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Question 3

Reason: This is by definition of what it means to do a full rotation.

Answer:

f(x) has a minimum value of -10.

Step-by-step explanation:

It will have a minimum value because the coefficient of x^2 is positive.

To find its value we convert to vertex form:

f(x) = 4x^2 - 16x + 6

     = 4(x^2 - 4x) + 6

      = 4[(x - 2)^2 - 4] + 6

      = 4(x - 2)^2 - 16 + 6

      = 4(x - 2)^2 - 10.

So the minimum value is -10.

Check the picture below.

Answer:

A

Step-by-step explanation:

There are 1000 mm in one meter

and there are 10 mm in one cm

so

1000 + 20(10) = 1200mm

Therefore the answer is 1200mm

Step-by-step explanation:

[tex] = 10(1 - 7k) + 8(k + 9)[/tex]

Sort the expression in descending order....

[tex] = 10( - 7k + 1) + 8( k + 9)[/tex]

Now multiply....

[tex] = - 70k + 10 + 8k + 72[/tex]

Organize the similar terms...

[tex] = - 70k + 8k + 10 + 72[/tex]

[tex] = - 62k + 82[/tex]

hope it helped !!!