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3 years ago

Find the sum of the first 10 terms if a(n) = n^2 - n +1

Mathematics

1 answer:

Elza [17]3 years ago

3 0

Answer:

The formula to find the sum of the first n terms of our sequence is n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.

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Burl and Paul paint signs together on a scaffold. Compared to their weights plus the weight of the scaffold, the sum of tensions

tatyana61 [14]

Answer:

equal

Step-by-step explanation:

If the scaffold is not accelerating either upward or downward, the sum of upward support forces is <em>the same as</em> the sum of downward weights being supported.

5 0

3 years ago

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

therefore

the answer Part b) is

the cubic polynomial function is equal to

$x^{3}-10x^{2} +31x-30=0$

7 0

3 years ago

Read 2 more answers

Another middle schooler (Swimmer 2) swims 24 laps in 20 minutes, what is the unit rate?

prohojiy [21]

Answer:

1.2 laps per minute

Step-by-step explanation:

divide laps/minutes.

6 0

3 years ago

I will give Brainliest to whoever can get here first!

USPshnik [31]

Answer:

The answers would be as follows:

Step-by-step explanation:

We can tell that the first two have an infinite number of solutions because when we try to solve, we get a true statement. The first one is done for you below.

-6x + 7 = -6x + 7 ------> Add 6x to both sides

7 = 7 (TRUE STATEMENT)

We can tell the next two have no solution due to the fact that they develop a false statement when trying to solve.

-3x + 7 = 3x + 7 ----> Subtract 7 from both sides

-3x = 3x ---> Divide by 3

-x = x (UNTRUE STATEMENT)

5 0

3 years ago

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Ira Lisetskai [31]

Answer:

The system has one solution