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masya89 [10]
2 years ago
14

Anyone want to talk girls only(halljeanice1) Email only

Mathematics
1 answer:
bekas [8.4K]2 years ago
5 0

Answer:

im girl maybe or 60yo dog

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
If I have a garden that's ten yards and I want to plant a plant that requires 2 yards how many plants can I plant
Damm [24]

Pretty sure it's 5. 5X2=10. Sooo

6 0
2 years ago
Respuesta de (-0.5)²
Vladimir79 [104]

Answer:

0.25

Step-by-step explanation:

we have

(-0.5)^2

we know that

-0.5=-\frac{1}{2}

substitute

(-\frac{1}{2})^2=(-\frac{1}{2})(-\frac{1}{2})

Remember that

(-1)(-1)=1\\(-1)(1)=(-1)

so

(-\frac{1}{2})(-\frac{1}{2})=\frac{1}{4}=0.25

5 0
3 years ago
What is the tangent ratio for
yawa3891 [41]

Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:

tan T = 3/4

tan U = 4/3

3 0
3 years ago
Read 2 more answers
..........................
QveST [7]

Answer:

x = 0.954

Step-by-step explanation:

We apply pythagorean to find x

(4-x)² = 1.2² + 2.8²

(4-x)² = 9.28

✓(4-x)² = ✓(9.28)²

4 - x = 3.046

- x = 3.046 - 4

- x = -0.954

x = 0.954

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

7 0
2 years ago
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