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Advocard [28]
3 years ago
13

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

x = 5 and y = -6

Step-by-step explanation:

The given equations are :

6x + 3y = 12 ...(1)

4x + y = 14 ...(2)

Multiply equation (2) by 3.

12x + 3y = 42 ...(3)

Subtract equation (1) from (3).

12x + 3y-(6x + 3y) = 42-12

12x+3y-6x-3y = 30

6x = 30

x = 5

Put th value of x in equation (2).

4(5) + y = 14

20 +y = 14

y = -6

So, the solution of the equations are x = 5 and y = -6.

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60? I don’t know what this mean
7 0
3 years ago
F (x) = (x + 5)º(x - 9)(x + 1)<br> 3
JulijaS [17]

Answer:

3x^3 - 11x^2 + 93x - 105

Step-by-step explanation:

(x+5) (x-9) (x+1) (3) FOIL (First, Outside, Inside, Last)...

x^2 - 9x + 5x - 35 (3x+3) Multiply

3x^3 + 3x^2 - 27x^2 - 27x + 15x^2 + 15x - 105x - 105 Combine Like Terms...

3x^3 - 11x^2 + 93x - 105

8 0
2 years ago
The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)
lbvjy [14]

\bf ~\hspace{10em}\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 8x^3-125~~ \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 125=5\cdot 5\cdot 5\\ \qquad 5^3 \end{cases}\implies 2^3x^3-5^3\implies (2x)^3-5^3 \\[2em] [2x-5][(2x)^2+(2x)(5)+5^2]\implies (2x-5)(\stackrel{\stackrel{j}{\downarrow }}{4}x^2+\stackrel{\stackrel{k}{\downarrow }}{10}x+25)

3 0
4 years ago
Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd
Scorpion4ik [409]

The horizontal asymptote of the function is the minimum number of deer in the area.

  • The equation of horizontal asymptote is: \mathbf{y = 40}
  • The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}

Expand the numerator

\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}

Cancel out the common factor

\mathbf{f(x) = 40}

Hence, the equation of horizontal asymptote is:

\mathbf{y = 40}

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

brainly.com/question/4084552

8 0
3 years ago
22,338 rounded to the nearest hundred
kogti [31]
22300 because the tenths place is below five
8 0
3 years ago
Read 2 more answers
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