MATHEMATICS HIGH SCHOOL

If possible, please show solving steps

Answers

Answer 1

Answer:

let 1/u=x and 1/v=y

so,

-3x-8y=20

-5x+y=19

then solve for it

Answer 2

Answer:

When you find A and B, back-substitute for A and B and continue from there.

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Explain the steps necessary for solving the following equation. x^2-8x-20=0
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Factor completely 5x(x + 3) + 6(x + 3).(x + 3)(30x)

(x + 3)(5x + 6)

(x + 3)(11x)

Prime

Answers

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the expression 5x(x + 3) + 6(x + 3).

We have to factorize the expression completely.

Expression is

5x(x + 3) + 6(x + 3)

Take the factor (x+3) common from both the terms, we get

(x+3)(5x+6)

Hence, option 2 is correct.

5x(x+3)+6(x+3) = (5x+6) (x+3) = (x+3)(5x+6)

If the y = ( x - 6)( x + 12) is graphed in the xy – plane, what is the x-coordinate of the parabola’s vertex?Please with steps and formula thx!

Answers

Answer:

B) -3

Step-by-step explanation:

The zeros of the function are found easily from the factors. They are 6 and -12. The x-coordinate is halfway between them, at (6 + (-12))/2 = -6/2 = -3.

If you want a formula, consider a quadratic with roots (zeros) p and q. Then it factors as

... y = (x -p)(x -q)

The line of symmetry through the vertex is also the line of symmetry between the roots, so has x-coordinate:

... x = (p+q)/2

___

In your problem, you have p=6, q=-12, so x = (p+q)/2 = -6/2 = -3 is the line of symmetry and the x-coordinate of the vertex.

The vertex of a parabola is the minimum or the maximum point on the parabola

The x-coordinate of the vertex is -3

The equation is given as:

$y = ( x - 6)( x + 12)$

Open brackets

$y = x^2 - 6x +12x - 72$

$y = x^2 + 6x - 72$

Differentiate

$y' = 2x + 6$

Set to 0

$2x + 6 = 0$

Collect like terms

$2x =- 6$

Divide both sides by 2

$x =- 3$

Hence, the x-coordinate of the vertex is -3

Answers

Answer:

$y = -2x - 8\nOR\n2x+y+8=0$

Step-by-step explanation:

Given that there are 2 points

$A(-8,8)$ and

$B(1,-10)$

So, the coordinates are:

$x_2 = 1\nx_1 = -8\ny_2 = -10\ny_1 = 8$

Equation of a line is given as:

$y =mx+c$

where 'm' is the slope of the line, formula for 'm' is given as:

$m=(y_2-y_1)/(x_2-x_1)$

$(x,y)$ are the points that satisfy the equation of the line.

$c$ is the $y -$ intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\n\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

$y =-2x+c$

Now, putting the coordinates of point $A(-8,8)$

$8 =-2* (-8)+c\n\Rightarrow 8 = 16+c\n\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\nOR\n2x+y+8=0$

If f(x) = 2x2 + 1, what is f(x) when x = 3?

Answers

if we work out this particular equation according to the acronym PEMDAS (or parenthesis, exponents, multiplication, division, addition, subtraction) this can be easily done. The resulting equation would look as follows PEMDAS2(3)2+16(2)+112+112+1=13

Answer:

Step-by-step explanation:

What's 100,000,900x30?? my class is crazy / test if your smart.

Answers

The answer is 3,000,027,000

Please mark brainlest

Answer:

3,000,027,000

Step-by-step explanation:

T f(x) = x 5 - 3x 3 24 is

Answers

This question is not correct

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