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Deffense [45]
4 years ago
15

Can a linear function be continuous but not have a domain and range of all real numbers

Mathematics
1 answer:
vovangra [49]4 years ago
5 0
Yes. As long as it is linear, it will be continuous no matter the numbers. Now, I have no idea what a "real" number is, but I hope this helped. 
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(4x = y - 1 <br> (6x - 2y = -3<br> substitution
agasfer [191]

Hey there! :)

Equation 1) 4x = y - 1

Equation 2) 6x - 2y = -3

We want both equations to match in a sense where both x & y are on the same side of the equal sign. To achieve this, simply subtract y from both sides in equation 1.

This will leave us with : 4x - y = -1

Now, line up the equations with one another.

1) 4x - y = -1

2) 6x - 2y = -3

Now, multiply 2 to ALL of equation 1.

2(4x - y = -1)

Simplify.

8x - 2y = -2 → We'll call this new equation 3. Now, line up equation 3 with equation 2.

6x - 2y = -38x - 2y = -2

Subtract equations from one another.

-2x = -1

Divide both sides by -2.

-2x ÷ -2 = -1 ÷ -2

Simplify.

x = 1/2

Now, plug in 1/2 for x into our first equation.

4x - y = -14(1/2) - y = -1

Simplify.

2 - y = -1

Subtract 2 from both sides.

-y = -1 - 2

Simplify.

-y = -3

Divide both sides by -1.

y = 3

So, our answer is :  x = 1/2, y = 3 OR (1/2, 3)

~Hope I helped!~

8 0
4 years ago
Read 2 more answers
If 1/4 of the 7th graders got an A on the test and 2/5 of them got a B, that fraction of the students got an A or B?
posledela

Answer: \dfrac{13}{20}

Step-by-step explanation:

Given: Fraction of 7th graders got A = \dfrac14

Fraction of 7th graders got B = \dfrac25

The fraction of the students got an A or B = Fraction of 7th graders got  + Fraction of 7th graders got B

=\dfrac14+\dfrac25\\\\=\dfrac{5+2(4)}{5\times4}\\\\=\dfrac{5+8}{20}\\\\=\dfrac{13}{20}

Hence, the required fraction: \dfrac{13}{20}

5 0
3 years ago
A company makes a profit of $5.8 million. This is $1.2 million
QveST [7]

Answer:

I think last year, the company's profit was 2.3 million $

Step-by-step explanation:

5.8 - 1.2 = 4.6

4.6 divided by 2 = 2.3

8 0
3 years ago
Solve the equation: - 9 + x = 17
atroni [7]

Answer:

x = 26

Step-by-step explanation:

Start with - 9 + x = 17,   or   -9 + x = 17

Solve for x by isolating x on the left side.  To do this, add 9 to both sides, obtaining x = 26

7 0
3 years ago
Compute a value for y that satisfies the equation below. <br><br> -3y - 12 = -4
lesantik [10]
First, add 12 to both sides of the equation,
                            -3y - 12 + 12 = -4 + 12
                                -3y = 8
Then, divide both the left hand and right hand sides of the equation by -3
                                   (-3y) / -3 = 8/-3
The value of y is therefore,
                                         y = -8/3
5 0
4 years ago
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