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Natali5045456 [20]
3 years ago
7

-2x - y = 1 -6x=3y+3

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer: All Real Number

Step-by-step explanation:

This is a system of equation, and generally, there are three ways to solve:

  • elimination
  • substitution
  • augmented matrix

Here, we are going to use elimination

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

Given

-2x-y=1

-6x=3y+3

Put them in the same order

-2x-y=1

-6x-3y=3

Multiply 3 on both sides for the first equation

-6x-3y=3

-6x-3y=3

We subtract the first equation from the second equation

0=0

The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.

Hope this helps!! :)

Please let me know if you have any questions

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A triangle was dilated by a scale factor of 6. If sin aº
Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

\sin (a) = \frac{4}{5}

\sin (a) = \frac{opposite}{hypotenuse}

From definition:

\sin (a) = \frac{opposite}{hypotenuse}

Replacing:

\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units

8 0
3 years ago
The system of equations has no solution:<br> y=2/3x-5<br> 4x - 6y = 30<br> true or false?
Serjik [45]

1. y = 2/3x - 5

2. 4x - 6y = 30

Divide 2. by 2

3. 2x - 3y = 15

Substitute 1. into 3.

4. 2x - 3(2/3x - 5) = 15

5. 2x - 2x + 15 = 15

6. 15 = 15

False. There are an infinite number of solutions.

3 0
3 years ago
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8 0
3 years ago
Explain why the function of f(x)=4x^2+8x is neither even or odd
myrzilka [38]

Answer:

By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

Step-by-step explanation:

We need to explain why the function of f(x)=4x^2+8x is neither even or odd

First we will understand, when the function is even and odd

Even function:

<em>A function is even if f(-x) = f(x) </em>

Odd function:

<em>A function is odd if f(-x) = -f(x) </em>

So, if we get the above result by putting x = -x, then we can say that the function is even or odd.

If we don't get any of the above results then the function is neither even nor odd.

So, for the given function: f(x)=4x^2+8x

Put x = -x

f(x)=4x^2+8x\\Put x=-x\\f(-x)=4(-x)^2+8(-x)\\f(-x)=4x^2-8x

So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

6 0
3 years ago
Between what pair of numbers is the product of 289 and 7
Vesna [10]
It's between 2,000 and 3,000. Also 2,020 and 2,030. (The answer is 2,023.) c:
7 0
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