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sattari [20]
3 years ago
13

How many times does 17 go into 65 no decimals please only remainders if there is one.

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
Do you have a picture
STALIN [3.7K]3 years ago
4 0

Answer:  3.82

Step-by-step explanation: there is a decimal

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Write a polynomial of degree 5 with zero x=0,i square root 7, -2i
professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
3 years ago
Create and solve a linear equation that represents the model, where squares and triangles are shown evenly balanced on a balance
Rina8888 [55]

Let the weight of triangle be x units. You are given that the weight of square is 1 unit.

1) On the left side of the balanced beam you can see 3 triangles and 5 squares. The weight on left side is 3·x+5·1=3x+5 units.

2) On the right side of the balanced beam you can see 2 triangles and 7 squares. The weight on right side is 2·x+7·1=2x+7 units.

3) If the whole system is balanced, then the weights on left and right sides are equal:

3x+5=2x+7.

Solve this equation:

3x-2x=7-5,

x=2 units.

Answer: option A

8 0
3 years ago
If (x + 2) is a factor of x2 - 6x2 + kx + 10, k =
Natali5045456 [20]

Answer:

10.7

Step-by-step explanation:

add multiple than subtract what you multiple and add a decimal

8 0
3 years ago
The number q is rational. Which statement about q- 10 is true
levacccp [35]

Answer:

you forgot to add the statements

3 0
3 years ago
I give ten points and brainliest if you say hi
patriot [66]

Answer:

Hi hope you have a wonderful and blessed day!!!!

Step-by-step explanation:

4 0
3 years ago
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