1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
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)
Mathematics
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
Other questions:
  • What is the unit and unit rate for $7.96 5 pounds
    12·1 answer
  • What is the equation of the line in slope intercept form?
    8·1 answer
  • Find the unknown length in the right triangle 24mm 32mm
    8·1 answer
  • Antonio is going to make a new summer drink. He needs 1/3 of a glass of orange juice and 2/4 of a glass of lime juice. The rest
    11·2 answers
  • Mechanico Inc. wants to buy a machine that costs $45,000. It expects that the machine will yield $30,000, 520,000, and $15,000 f
    15·2 answers
  • 9 x 200 in expanded form
    6·2 answers
  • Graph with a line going through points zero comma two point five and four comma two point five.
    7·1 answer
  • Help<br> Please answer both thanks
    6·1 answer
  • Solve for x:-2|0.25x+2|=10​
    14·1 answer
  • Squares of Binomials<br> Please Help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!