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3 years ago

HELP QUICK ME QUICK PLEASE THANKS

Mathematics

2 answers:

GenaCL600 [577]3 years ago

8 0

To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is $a_{n}$ = t₁ + (n-1)d, with $a_{n}$ being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what $a_{n}$ is. When substituting, the equation becomes:

$a_{n}$ = 12 + 29(-6)
$a_{n}$ = -162

That means that the 30th term in this arithmetic sequence is -162.

klemol [59]3 years ago

8 0

The answer would be D. -162

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2 years ago

The following graph describes function 1 and the equation below it describes function 2:

Tanya [424]

Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² + 8x - 120
Function 2:
f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4

Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
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Function 2: f(x) = -x² + 4x+1 ; x = 2
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Function 2 has the larger maximum.

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3 years ago

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Alexxx [7]

Answer:

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Step-by-step explanation:

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3 years ago

Determine if b is a linear combination of a1 a2, and a3. a1 = [ 1 -2 0 ], a2 = [ 0 1 3 ], a3 = [ 6 -6 18 ], b = [ 2 -2 6 ] Choos

marysya [2.9K]

Answer: Vector b is not a linear combination

Step-by-step explanation:

First of all we put the vectors in terms of different variables, such as:

a1(1,-2,0)=(a,-2a,0);

a2(0,1,3)=(0,b,3b);

a3(6,-6,18)=(6c,-6c,18c);

To know that a vector is a linear combination we need to express it like a sum of other different vectors.

(2,-2,6)=(a,-2a,0)+(0,b,3b)+(6c,-6c,18c)

(2,-2,6)=(a+0+6c,-2a+b-6c,0+3b+18c)

We express this sum like a system of equations.

a+6c=2

-2a+b-6c=-2

3b+18c=6

We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.

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3 years ago

Read 2 more answers

When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10

ladessa [460]

Answer:

I believe the answer is C

Step-by-step explanation:

if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w

hope this helps

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3 years ago