Ask question

Ask question

All categories

3 years ago

9

Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the

system?
a. (0, 4)
b. (0, 8)
c. (4, 0)
d. (8, 0)

1 answer:

Alex_Xolod [135]3 years ago

8 0

The correct answer is the first option.

If you want to use elimination, you can sum the two equations for example, so that the x's simplify:

$(-2x+4y)+(2x+2y) = 16+8$

$6y = 24$

$y = 4$

Plug this value for y in one of the equations to derive the value of x:

$2x+2y=8 \implies 2x + 8 = 8 \implies x = 0$

So, the solution is $(x,y) = (0,4)$

You might be interested in

Solve for x: 3x − 2 > 5x + 10. (5 points)

Galina-37 [17]

Answer:

x < -6

Step-by-step explanation:

3x - 2 > 5x + 10

first step is to isolate x

3x -2 >5x +10

3x > 5x + 10 + 2

3x -5x > 10 + 2

now that we have 3x and -5x we can combine them

-2x > 10 + 2

now add 10 +2 =12

-2x > 12 (now divide by -2)

x < -6 (when we divide we flip the inequality sign)

5 0

3 years ago

The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

6 0

3 years ago

Is 5768 divisible by 2

Alexandra [31]

Yes it is divisible by 2. The answer would be 2884.
Thank you

4 0

3 years ago

Read 2 more answers

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter

andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

$tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }$

$sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }$

sin(2α) = 2 sinα cosα

So,

$1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})$

See what you can do with the others.

6 0

3 years ago

What is the answer?????

Vlad [161]

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

3 0

3 years ago