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skad [1K]
3 years ago
15

Determine if the sequence below is arithmetic or geometric and determine the

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

Answer:

Arithmetic sequence

Step-by-step explanation:

A sequence is described as an arithmetic sequence when there is a common difference between the numbers

A sequence is a geometric sequence when there is a common ratio between the numbers

12,10,8

10-12= -2

8-10= -2

10/12= 0.83

8/10= 0.8

Hence the sequence is an arithmetic sequence with a common difference of -2

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HURRY PLEASE!! 50 POINTS
ICE Princess25 [194]

Answer:

7x² + 5x

Dtep-by-step explanation:

(9x² + 8x) - (2x² + 3x)

9x² + 8x - 2x²- 3x

7x² + 5x

3 0
3 years ago
What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = \frac{-b}{2a}

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0
3 years ago
What is the area of a rectangle that has a length of 1/4 inch and a width of 1/8 inch?
Lubov Fominskaja [6]

Answer:

1/4 * 1/8 = 1/32 inch

Step-by-step explanation:

1/4 * 1/8 = 1/32inch

8 0
3 years ago
Cole owns a corner store that resells pastries from a local bakery. The table below shows the costs charged for a week of orderi
chubhunter [2.5K]

Let:

x = Pastries ordered

y = Cost of order

y=1.55x+18.25

For each pastry Cole ordered, the cost of the order increased by a fixed amount of $1.55

5 0
1 year ago
The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use
Brrunno [24]

Answer:

The area of a circle is given by the formula

area=πr2

we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:

r=diameter

2r=362

r=18

By substituting these values to the formula of a circle, we now have:

area= (3.14 )  (18) 2

area=1017.36

But since the window is a semicircle, the area will have to be divided in half, therefore,

area of a semicircle =1017.362

area of a semicircle = 508.68

Thus the window's area is equal to 508.68 sq in.

8 0
3 years ago
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