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3 years ago

If a polynomial function f(x) has roots -4,2,1 and square root of 11 what must be also a root of f(x) ?

Mathematics

1 answer:

Zigmanuir [339]3 years ago

5 0

Answer:

- $\sqrt{11}$

Step-by-step explanation:

Radical roots occur in conjugate pairs

Thus if $\sqrt{11}$ is a root then

- $\sqrt{11}$ is also a root

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An arithmetic sequence has t1=5 and t2=8 find tn and sn

RoseWind [281]

Answer:

$a_n=2+3n$

$\displaystyle S_n=\frac{7n+3n^2}{2}$

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

The sum of the n terms of an arithmetic sequence is given by:

$\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n$

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

$a_n=5+(n-1)3=5+3n-3=2+3n$

$\boxed{a_n=2+3n}$

The formula for the sum is:

$\displaystyle S_n=\frac{5+2+3n}{2}\cdot n$

$\displaystyle S_n=\frac{7+3n}{2}\cdot n$

Operating:

$\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}$

4 0

3 years ago

Whoever helps with number 10 gets brainliest answer and 10 points :)

madreJ [45]

10) Mean 52 Mode No Mode (all shown only once) Median 48 Range 75

3 0

3 years ago

Read 2 more answers

PLZ HELP ASAP

Ksenya-84 [330]

the height of the prism is 12 centimeters

3 0

3 years ago

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

Solnce55 [7]

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

7 0

4 years ago

a garden is 82m long and 94m broad. a path 3m wide is to be built outsde and around it find the area of the path

Rudik [331]

Area of the border = 2(82 x 3) + 2(94 x 3) - 4( 3 x 3)
Area of the border = 492 + 564 - 36
Area of the border = 1020 m²

Answer: 1020 m²

5 0

3 years ago