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Aleksandr-060686 [28]
3 years ago
10

Question 6 of 40

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

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Given three points of a quadratic function, find the equation that defines the function: (-2, 20)(0, -2)(1, -4)
Stels [109]

Answer:

y=3x^2-5x-2

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c

The given points must satisfy this function;

Substitute (-2,20).

20=4a-2b+c..(1)

Substitute (0,-2)

c=-2...(2)

Substitute (1,-4);

-4=a+b+c...(3)

Put equation (2) into equation (1)

20=4a-2b+-2

4a-2b=22

2a-b=11...(4)

Put equation (2) into equation (3)

-4=a+b-2...(3)

a+b=-2...(5)

Add equation (4) and (5)

3a=9

Divide both sides by 3

a=3

Put a=3 in  equation 5.

3+b=-2

b=-2-3

b=-5

The quadratic function is;

y=3x^2-5x-2

6 0
3 years ago
Jon’s teacher wants to buy giant cookies for the entire class. If cookies cost $1.95 each, write an equation that shows how much
irinina [24]

Answer:

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5 0
3 years ago
Show that x²-8x+20 can be written in the form (x-a)²+a where a is an integer
Fiesta28 [93]

Answer:

   x² - 8x + 20

=  x²- 2*4*x + 16 + 4

=  x²- 2*4*x + 4² + 4

= (x - 4)² + 4

= (x - a)² + a, with a = 4

Hope this helps!

5 0
3 years ago
Matt paid $6.88 for 4 bags of rice. Each bag cost the same amount. How much did Matt pay for each bag of rice?
lakkis [162]
The answer to this question is $1.72 , I got this because 6.88 / 4 = 1.72
6 0
3 years ago
Read 2 more answers
On an island there are 7 cities. Each two of them connected by a direct road. How many roads are there?
Gnoma [55]

Answer:

21 roads

Step-by-step explanation:

If each two cities are connected by a direct road, to find the number of roads we just need to solve a combination of 7 choose 2, that is, we need to find all pairs of two cities among the 7 cities:

Combination of 7 choose 2 = 7! / (5! * 2!) = 7*6/2 = 21

So there is a total of 21 roads on the island.

3 0
3 years ago
Read 2 more answers
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