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skelet666 [1.2K]
3 years ago
13

I need someone to factor this and show me the steps

Mathematics
2 answers:
Volgvan3 years ago
6 0
This can be factored out with the form: (ax+by)^2 = a^2x^2 + 2abxy + b^2y^2

So by comparison, you will have 3 equations:

a^2 = 10   2ab = 17   b^2 = 3

You will notice that these 3 equations cannot be satisfied at the same time, which means it cannot be factored out perfectly

So, you can only satisfy two of them, and compromise the 3rd one.

Let's say I want to use the first and the last one, i.e. a = sqrt(10) and b = sqrt(3)

Then, (sqrt(10)x + sqrt(3)y)^2 = 10x^2 + 2sqrt(30)xy + 3y^2

But you need 17xy in the question.

So your final answer will be (sqrt(10)x + sqrt(3)y)^2 + (17xy - 2sqrt(30)xy)

You can use another 2 pairs and get different forms too.
ikadub [295]3 years ago
4 0
10x^2 + 17xy + 3y^2 = (2x + 3y)(5x + y)

hope it helps
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Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that
masha68 [24]

Answer:

This procedure does not result in a binomial distribution because in each trial there are more than two possible outcomes, that is, this problem cannot be simplified as a yes or no question.

Step-by-step explanation:

For the binomial probability distribution being satisfied, two things are necessary:

1) The answer can only be two outcomes, two possibilities, for example, yes/no questions.

2) The probability of a success(an answer) on each trial must be the same. That is, if we are going to survey 100 people if they are Buffalo Bills fans, they will answer yes or no, and each of those 100 people will have the same probability of being a Buffalo Bills fans.

In this problem, we have that:

Surveying 20 college students and recording their favorite TV show.

There is infinite possibilities for each answer. One can answer Narcos, other Monday Night Football, other Sportscentre, and so it goes.

So this procedure does not result in a binomial distribution because in each trial there are more than two possible answers, that is, this problem cannot be simplified as a yes or no question.

If for example, we asked the 20 students if Monday Night Football was their favorite show, then they could answer only yes or no, so it would be a binomial procedure.

3 0
3 years ago
A triangle has side lengths 1, 2 and square cute of 3. The triangle
seraphim [82]
A, I hope this helps!
6 0
3 years ago
Read 2 more answers
Identify the reflection of the figure with vertices E(8,4), F(-16,-8), and G(24,-16) across the y-axis.
Dafna1 [17]

Answer:

\boxed{\text{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

E (8,4) ⟶ E' (-8,4)

F (-16,-8) ⟶ F' (16,-8)

G (24,-16) ⟶ G' (-24,-16)

\text{The reflected figure has coordinates } \boxed{\textbf{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}

The figure EFG and its reflection E'F'G' are shown in the diagram below.

6 0
3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the recta
Alchen [17]

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

5 0
3 years ago
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