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icang [17]
3 years ago
7

Multiply each equation by a number that produces opposite

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

Step-by-step explanation:

We could multiply the first equation by -3 and, separately, multiply the second equation by 4.  The result would be:

-12x - 15y = -21

12x  - 8y = -48

the x terms now cancel.  The result is:

- 15y = -21

- 8y = -48

----------------

-23y = -69, or y = 3.  If y = 3, then 3x - 2y = -12 becomes:

3x - 2(3) = -12, or

3x - 6 = -12, or    3x = -6, and so x = -2.

The solution is (-2, 3).

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I'm in need of help please
lidiya [134]
First, the graph is a parbole, this is a square function, so it can not be the option a) because it is a linear function.

Second, the vertix of the parabole is the point (0,3), so use the general vertex form of the parabole:

y = A(x - h)^2 + k, where h and k represent the vertex (h,k).

So, the form of the funtion is y = A (x-0)^2 - 3 = Ax^2 - 3

Now, you also know that the roots of the parabole are close to -1 and 1 but they are not those exact value.

So, find the roots for any of the possible options:

b) f(x) = 2x^2 - 3 = 0 => 2x^2 = 3 => x^2 = 3/2 => x = +/- √(3/2) ≈ +/- 1.22

That is a very plausible answer

c) f(x) = (1/2)x^2 - 3 = 0 => x^2 = 2*3 = 6 => x = +/- √6  ≈ +/- 2.45, which is very far from the roots shown on the graph.

3) f(x) = x^2 - 3 = 0 => x^2 = 3 => x = +/- √3 ≈ +/- 1.73, which is not so close to +/- 1.

So, the answer is the option b) f(x) = 2x^2 - 3
7 0
3 years ago
The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to h
pychu [463]

Answer:

the answer is 5 1/9 inches per month (answer)

Step-by-step explanation:

4 0
3 years ago
What is the equivalent of 3/4=?/8?
Phoenix [80]
The equivalent to 3/4 is 6/8. 
8 0
3 years ago
Read 2 more answers
Using a common denominator to order fractions, please help fast...
marshall27 [118]
3/10=15/50 and then 8/25=16/50

So, 3/10<8/25
5 0
3 years ago
Which ordered pair is a solution if the equation ?
inessss [21]

Answer:  y=7x−38

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

8 0
3 years ago
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