what is the 6th value in the sequence with the explicit formula a n equals -2 and -14?

From the table,

Total number of students that failed the test = 2 + 7 = 9

The total number of students that participated = 10 + 3 + 2 + 7 = 22

The possibility that a student chosen randomly from the class failed the test = ​Total number of students that failed the test divided by the total number of students that participated

= 9/22

Hence, the possibility that a student chosen randomly from the class failed the test is 9/22

numbe

Answer:

no solution

Step-by-step explanation:

x + 3 + 7 = 2x + 10 - x ( simplify both sides )

x + 10 = x - 10 ( subtract 10 from both sides )

x = x - 20 ( subtract x from both sides )

0 = - 20 ← not possible

this indicates the equation has no solution

Answer: 152 tie dyed T shirts

Let the number of dyed T shirts be = x

Let the number of silk screened shirts be = y

He sold sold 4 times as many tie dyed T shirt as screened shirts

Since x = Tie dyed T shirt

Therefore, x = 4y

x = 4y ------------------- equation 1

He sold 190 shirts all together

x + y = 190 ------------ equation 2

Substitute the value of x = 4y into equation 2

4y + y = 190

5y = 190

Divide both sides by 5

5y/5 = 190/5

y = 38

Since x = 4y

x = 4(38)

x = 152 tie dyed T shirts

Therefore, 152 tie dyed T shirts was sold

According to the question, the man sold 4 times as many tie dyed T shirt as silk screened shirt

This implies that for 1 silk screen shirt sold, he would also sell 4 tie dyed T shirt

Since, x = tie dyed T shirt and y = silk screened shirts

Then, x= 4 x y

x = 4y

The man sold 190 shirts altogether

This implies that, he sold a total of 190 of both tie dyed T -shirt and silk screened shirts

Mathematically,

x + y = 190

Since x = 4y

Then, 4y + y = 190

This Implies that for 1

The domain of the function is found as [-7, 6].

For the given question,

The graph of the function is given.

By the definition of the domain, the maximum and minimum values of the graph on x axis are 6 and -7 respectively.

Thus, the domain of the function is found as [-7, 6].

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MULTIPLY EVERY TERM IN THE BRACKETS BY 3

[tex] = 3(x) + 3( - y) \\ = 3x - 3y[/tex]

ATTACHED IS THE SOLUTION

18-6=12

8-16=-8 not equal 18-6

14-8=6 not equal 18-6

14-7=7 not equal 18-6

16-8=8 not equal 18-6

Hence none of the options has the same difference as 18-6

HF, JN

1) Examining this question, we can state that a tangent line is the one that "touches" the circle in one single point.

So, in this diagram we can state that the tangent line is HF

2) On the other hand, a secant line crosses the circle in two points at least. So the one that fits in this definition is the line defined by points JN

3) In Euclidian Geometry, a chord is a line segment that connects two points in a circle or curve. Examning the diagram again, we can state that KM is a chord.

There are a total of 8 possible numbers for each digit and there are 3 digits for the password. Since the problem didn't state that the numbers can't be repeated, then we can apply the following formula:

Where "n" is the range of possibilities for each number and "m" is the number of digits we want to arrange them. So applying the data from the problem gives us:

Let's begin by identifying key information given to us:

Imaginary solutions

Hello!

We have the function below:

Let's analyze the graph of it:

Note that for the domain, it starts when x = 8.

For the range, it starts when y = 6.

So, the range of this function is:

Third alternative.

Ok, so

We want to find the area of the following triangle:

Remember that the area of a trangle is given by the following equation:

Where b is the base of the triangle and h is its height.

If we replace our values:

Therefore, the area is equal to 11 square units.

The word for added and subtracted parts of an expression is known as the term.

An expression in math is an arithmetic set of numbers and variables with signs and calculations. For example, 4x - 2x = 2x is an expression. The parts that are connected with addition or subtraction or other signs are called terms.

Terms that have the same base exponent can be joined with addition and subtraction. These are called like terms. For example, 3 x 3 and 5 x 3 are like terms.

Therefore, the term is the term for the added and removed components of an equation.

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Step 1

Redraw the diagram and use the Pythagoras theorem to find the value of c\x.

Step 2:

Find the value of y from the right-angle triangle of sides: 10, 25 and y using the Pythagoras theorem

Opposite = y

Adjacent = 10

Hypotenuse = 25

Step 3

Next, use the Pythagoras theorem to find x from the triangle with sides

28, x and y

Hypotenuse = 28

Opposite = x

Adjacent = y

Final answer

x = 16.1

The function g(x) that results when translating the function f(x)=x to the left 12 units and reflecting it over the x-axis is g(x) = -|x + 12|

Translating to left ≡ f(x + 12)

Translation up 12 units means g(x)=f(x)+5g(x)=f(x)+5. Reflecting this across the x-axis means g(x)=-(f(x)+12)g(x)=−(f(x)+12)

-(x+12)=-x-12

f(x + 12) = |x + 12|

Reflection of a function f(x) about the x - axis is keeping the x value same but negating the y values

Reflected f'(x) = -y = -f(x)

Taken together

g(x) = -(|x + 12|)

The function g(x) that results when translating the function f(x)=x to the left 12 units and reflecting it over the x-axis is g(x) = -|x + 12|

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Answer:

Explanation:

For the matrix equation

We first subtract A from both sides to get

Now,

Hence, we have

Dividing both sides by 2 gives

which is our answer!

The magnification of the system with an object distance of 5 cm and an image distance of 15 cm is 0.33.

A lens is a transmissive optical tool that employs refraction to focus or disperse a light beam.

In optics, magnification refers to the image's size in relation to the item that produced it. The ratio of the image length to the object length, as measured in planes perpendicular to the optical axis, is referred to as linear magnification, also known as lateral or transverse magnification.

The size of an object is u = 5 cm

The size of the image formed by the lens is v = 15 cm

Then the magnification M will be:

Magnification = Image distance/ Object distance

M = v/u

M = 5/15

M = 1/3

M = 0.33

Hence, the magnification of the system is 0.33.

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Answer:

Step-by-step explanation:

40x+20y x is for the amount of hours he spends on web design and y for 20 obviously

The equation y = 7/4x - 1​ is in slope-intercept form, with a slope of 7/4 and a y-intercept of -1.

To graph it, you need to locate the point (0, -1) - the y-intercept -, and then use the slope to find another point. From (0, -1) you have to move 4 units to the right, and 7 units up, reaching the point (4, 6). Then, you have to draw the line that passes through theses points, as follows:

The fraction of the fruit basket is 2/7.

What is fraction?

Fraction represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.  The number below the line is called the denominator.

Total fraction = 1 or can be written as 7/7

Nazir given 5/7 of the fruit basket

1-5/7 = 7-5/7

= 2/7

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The coordinates of the vertices after the reflection are V'(-3,2), U'(0,-2), W'(-1,3) and T'(1,2) .

A reflection in mathematics is a mapping from a Cartesian coordinates to itself which is an isometry with such a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.

We know that when a figure is reflected along the line y = -x then the coordinates change their places and they are negated.

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Answer:

what red and blue dots?

Step-by-step explanation:

Hello there. To solve this question, we'll have to compare the values with two fractions:

To see how much of 14.4 is 11.7, in percentage, we start by considering 14.4 represents 100%, or 100, since we want to find the answer in percent as well.

Then we make:

Cross multiply the numbers:

Divide both sides of the equation by a factor 14.4

Using a calculator, we get that x is equal to:

Therefore, 11.7 is 81.25% of 14.4!

Answer:

Step-by-step explanation:

Mean is the average.

It is calculated as:

Find it using the equation above:

Correct choice is C

Answer:

c

Step-by-step explanation:

On solving the system of equation using elimination method , the value of x is 1 and value of y is 3 .

in the question ,

the two equations are given as

3x+y=6   ...(i)

and

-8x+2y= -2     ...(ii)

In elimination method, the equation is multiplied by some constant and then add/subtract the equations to eliminate any variable x or y.

multiplying equation(i) by 2 we get

6x+2y=12      ....(iii)

subtracting , the equation (ii) from equation (iii) , we get

(6x+2y) - (-8x+2y) = 12-(-2)

6x+2y+8x-2y = 12+2

14x = 14

x = 1

We eliminate 'x' from equation (ii) by replacing the value of 'x' with 1 ,

we get

-8x+2y= -2  

-8(1)+2y= -2

-8 + 2y = -2

2y = -2 + 8

2y = 6

y = 3

Therefore , On solving the system of equation using elimination method , the value of x is 1 and value of y is 3 .

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The set of, S - T = {3, 9}

Define Set Operation.

To obtain a combination of components according to the operation done on them, the set operations are conducted on two or more sets.

In a set theory, there are three major types of operations performed on sets, such as:

1) Union of sets (∪)

2) Intersection of sets (∩)

3) Difference of sets ( – )

We know, S -T = S ∩ T'

Given, universal set is U = {1, 2, 3, ..., 10}

S = {3, 5, 7, 9} and T = {4, 5, 6, 7}

Now, find T' (T's compliment),

The complement of set T is defined as a set that contains the elements present in the universal set but not in set T.

T'  = {1, 2, 3, 8, 9, 10}

given, S = {3, 5, 7, 9}

Find, S ∩ T'

S ∩ T' = {3, 5, 7, 9} ∩ {1, 2, 3, 8, 9, 10}

The intersection of two sets S and T is a subset of the universal set U and contains elements that are present in both sets S and T. It is represented by the symbol "∩".

so, S ∩ T'  = {3, 9}

Hence, S - T = S ∩ T'  = {3, 9}

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The volume of any prism = base area x height

Given Volume = 264 in^3

The prism is triangular based

Therefore, its base area = 1/2 x base x height

The base of the triangle= 8in

Height of the triangle = 6in

The height of the prism is 11 in.

Weare asked to used distributive property and reduce the expression:

(x - 2 ) 2 + 9

so we apply distributive property to eliminate the parenthesis, multiplying the factor of "2" by "x" and by "-2":

2 x - 4 + 9

now combine like terms:

2 x + 5

If the question involved instead the following expression:

(x - 2)^2 + 9 (where the "2" was in fact a power affecting the binomial (x-2), then