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lukranit [14]
3 years ago
9

What is 4y-x+7+5y+3x-9

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

Answer:

2 x + 9 y − 2

Step-by-step explanation:

If you're just looking to simplify and/or combine like terms, here's your answer: 2 x + 9 y − 2

Glad I could help!!

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Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
HELP PLEASE ASAP
Irina18 [472]
D is your answer if you times 8 and 2 together to get your A& B
5 0
2 years ago
What is the value of x in the figure Pls help​
Murljashka [212]

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

7 0
3 years ago
In 2012, the world's largest pumpkin weighed 913 kilograms. An average-sized pumpkin weighs 5,000 grams.
GaryK [48]
It would weigh 908 kilograms more


8 0
3 years ago
How to I find this? I tried using Pythagorean theorem, but it didn't work
jarptica [38.1K]
The Pythagorean theorem works.

12^2+9^2=c^2
144+81=c^2
225=c^2
15=c

Therefore the perimeter is 12 + 9 + 15 = 36 in. (B)
4 0
3 years ago
Read 2 more answers
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