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2 years ago

Find the 74th term in the sequence: 83,79,75 show work

Mathematics

1 answer:

Maslowich2 years ago

6 0

Answer:

a₇₄ = - 209

Step-by-step explanation:

There is a common difference between consecutive terms , that is

79 - 83 = 75 - 79 = - 4

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 83 and d = - 4 , then

a₇₄ = 83 + (73 × - 4) = 83 + (- 292) = 83 - 292 = - 209

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Which table represents a function? A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negat

tangare [24]

Answer:

This is a many-to-one function as the value of y = -1 corresponds to two values of x:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -3 & -1\\\cline{1-2} 0 & 0\\\cline{1-2} -2 & -1\\\cline{1-2} 8 & 1\\\cline{1-2}\end{array}$

Step-by-step explanation:

Function

A special relationship where each input (x-value) has a single output (y-value).

A function is one-to-one if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).

A function is many-to-one if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

This is a many-to-one function as the value of y = -1 corresponds to two values of x:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -3 & -1\\\cline{1-2} 0 & 0\\\cline{1-2} -2 & -1\\\cline{1-2} 8 & 1\\\cline{1-2}\end{array}$

This is not a function as the value of x = -5 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -5 & -5\\\cline{1-2} 0 & 0\\\cline{1-2} -5 & 5\\\cline{1-2} 6 & -6\\\cline{1-2}\end{array}$

This is not a function as the value of x = -2 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -4 & 8\\\cline{1-2} -2 & 2\\\cline{1-2} -2 & 4\\\cline{1-2} 0 & 2\\\cline{1-2}\end{array}$

This is not a function as the value of x = -4 corresponds to two values of y:

$\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2} -4 & 2\\\cline{1-2} 3 & 5\\\cline{1-2} 1 & 3\\\cline{1-2} -4 & 0\\\cline{1-2}\end{array}$

8 0

2 years ago

What's 6am minus 7:05 pm

lesya [120]

It is 13 hrs and 5 minutes.

3 0

3 years ago

Read 2 more answers

Where would you plot the vertex on the graph of the following absolute value equation? enter your answer as an ordered pair (x,y

makvit [3.9K]

Answer:

The absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Step-by-step explanation:

Considering the absolute value equation

$y=|x-5|+10$

To find the x coordinate of the vertex, set the inside of the absolute value $x - 5$ equal to zero.

In this case,

$x - 5=0$

$x=5$

Replace the variable x with 5 back into the equation and solve for y.

$y=|(5)-5|+10$

$y=0+10$

$y = 10$

Therefore, the absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Keywords: absolute value function, vertex

Learn more about absolute value function from brainly.com/question/6507101

#learnwithBrainly

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3 years ago

Draw a picture to show how 2/3 of jakes pizza can be equal to 3/6 of a pizza from als

Harlamova29_29 [7]

2/3 of a pizza is more than half of the pizza.

3/6 = 1/2, so 3/6 of a pizza is exactly half of the pizza.

Given that two pizzas are of different sizes you need to calculate the areas of each pizza and compare them.

Assumming that the two pizzas are circular, you can calculate the area of each pizza from the formula of the area for a circle:

Area of a circle = π * (radius)^2.

Call r the radius of Jake's pizza and R the radius of Al's pizza. Then:

Area of Jake's pizza = π (r^2) and 2/3 of that is: 2π(r^2) / 3.

Area of Al's pizza = π (R^2) and 1/2 of that is π(R^2)/2

So, what you have to do is to use the radius of each pizza, calculate above formulaes and verify whether the results are the same or not.

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3 years ago

A car dealership is buying a car for $10,500. They plan to sell it at $15,540. Calculate the percent increase.

lianna [129]

Answer:

67.5 percent (if you're rounding up 68 percent)

Step-by-step explanation:

10,500/15,540 which equals 0.675 turn this into a percent which is 67.5%

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2 years ago