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leonid [27]
3 years ago
10

I need help!! What is he answer??

Mathematics
1 answer:
IgorC [24]3 years ago
7 0
2 is the answer i think
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7. Are the ordered pairs below an arithmetic sequence or geometric
DochEvi [55]

Answer:

8. Arithmetic Progression

9. f(9) = 300

Step-by-step explanation:

Given

\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3

This gives:

d = 45 - 55 = 35 - 45 = 25 - 35

d = -10 = -10 = -10

d=-10

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

f(n) = f(1) + f(n-1)

To find f(9), we substitute 9 for n

f(9) = f(1) + f(9-1)

f(9) = f(1) + f(8)

We need to solve for f(8); substitute 8 for n

f(8) = f(1) + f(8 - 1)

f(8) = f(1) + f(7)

We need to solve for f(7); substitute 7 for n

f(7) = f(1) + f(7 - 1)

f(7) = f(1) + f(6)

We need to solve for f(6); substitute 6 for n

f(6) = f(1) + f(6 - 1)

f(6) = f(1) + f(5)

We need to solve for f(5); substitute 6 for n

f(5) = f(1) + f(5 - 1)

f(5) = f(1) + f(4)

From the function, f(4) = 25 and f(1) = 55.

So:

f(5)=55 + 25

f(5)=80

f(6) = f(1) + f(5)

f(6) = 55 + 80

f(6) = 135

f(7) = f(1) + f(6)

f(7) = 55 + 135

f(7) = 190

f(8) = f(1) + f(7)

f(8) = 55 + 190

f(8) = 245

f(9) = f(1) + f(8)

f(9) = 55 + 245

f(9) = 300

8 0
3 years ago
Determine the number of Solutions for the system of equations y = 2x + 3 and y = 2x +3
vampirchik [111]

Answer:

:/

Step-by-step explanation:

:/

7 0
3 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
natta225 [31]

Answer:

y = 4x + 4

Step-by-step explanation:

Two points you can see on the graph are (0,4) and (-2,-4)

Now, to find the slope, use delta y/ delta x

(-4-4)/(-2-0)

(-8)/(-2) = 4

Slope is 4.

y = 4x + b

Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.

This value is 4. So, the y-intercept is 4

Substitute into your equation

y = 4x + 4

6 0
3 years ago
Read 2 more answers
Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.
aniked [119]

To solve this problem you must apply the proccedure shown below:

1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:

A=\frac{(B+b)h}{2}

Where B is the larger base, b is the smaller base and h is the height.

2. The dimensions are:

B=9units\\ b=7units\\ h=8units

3. Substitute values:

\\A=\frac{(9 units+7units)(8units)}{2}  A=64 units^{2}

The answer is: 64 units^{2}

6 0
4 years ago
Read 2 more answers
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph
timurjin [86]

Answer:

where are the numbers

Step-by-step explanation:

5 0
3 years ago
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