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3 years ago

Graph the system of linear equations. y = x + 5 and y = 2x + 2.

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

Graph using y=mx+b. The point of intersection is (3,8)

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Help with this

IRINA_888 [86]

X= 49 because the square root of 49 IS 7. :D
Good luck! :)

7 0

3 years ago

Please help!! thank you.

Zina [86]

(A) Product of $-2x^{3}+x-5$ and $x^{3}-3x-4$ is:

$(-2x^{3}+x-5)(x^{3}-3x-4)$

$=-2x^{3}(x^{3}-3x-4)+x(x^{3}-3x-4)-5(x^{3}-3x-4)$

$=(-2x^{3})(x^{3})+(-2x^{3})(-3x)+(-2x^{3})(-4)+x(x^{3})+(x)(-3x)+(x)(-4)+(-5)(x^{3})+(-5)(-3x)+(-5)(-4)$

$=-2x^{6}+6x^{4}+8x^{3}+x^{4}-3x^{2}-4x-5x^{3}+15x+20$

$=-2x^{6}+6x^{4}+x^{4}+ 8x^{3}-5x^{3}-3x^{2}-4x+15x+20$

$=-2x^{6}+7x^{4}+3x^{3}-3x^{2}+11x+20$

(B) Yes.

Product of $-2x^{3}+x-5$ and $x^{3}-3x-4$ = Product of $x^{3}-3x-4$ and $-2x^{3}+x-5$ because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.

5 0

3 years ago

What is the reminder when (x^4+36 ) is divided by (x^2-8)

iragen [17]

Answer: 35

Step-by-step explanation:

3 0

3 years ago

In how many ways can 6 states be selected from the top 11 states with the most murders if the order of the 6 states does not mat

Ratling [72]

The answer should be 15.4.

7 0

3 years ago

To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any

guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.

2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

L = (x - 2(1.5)) = x - 3

w = (2x - 2(1.5)) = 2x-3.

3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

(2x-3)*(x-3)/(2x^2) = .28

2x^2 - 9x + 9 = .56x^2

1.44x^2 - 9x + 9 = 0

4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

5. As a result, the dimensions of the rectangles are 5in x 10in.

6 0

3 years ago