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ANEK [815]
3 years ago
10

What are the domain and range of the function f(x) = 3/4x + 5?

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

Domain = (-∞,∞)

Range = (-∞,∞)

This is a linear function.

So, if you were to graph this you'd know that it crosses the x and y axis and continues on forever without stopping.

in that case the domain and range are considered infinite on both axes.

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Which expression is equivalent to ( 11 x − 8 ) + ( 7 − 4 x ) ?
dlinn [17]

Answer:

7x-1

Step-by-step explanation:

Use commutative property:

(11x-4x) + (-8+7) = 7x-1

6 0
2 years ago
Multiply each equation by a constant that would help to eliminate the y terms.
Zinaida [17]

Answer:

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

Step-by-step explanation:

Given:

2x-5y=-21         ......................Equation ( 1 )

3x-3y=-18         ......................Equation ( 2 )

To Find:

Expression after multiplying to eliminate y term,

Solution:

So to eliminate 'y' term we need to multiply equation 1 by a constant 3 and equation 2 by a constant -5,  such that equations  becomes

3(2x-5y)=3\times -21\\\\6x-15y=-63 .....( 1 )

-5(3x-3y)=-5\times -18\\\\-15x+15y=90  .....( 2 )

so now by adding new equation one and two we can eliminate y term that means -15y and +15y will get cancel,

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

3 0
3 years ago
Read 2 more answers
Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
Melanie was mixing red and white paint to make pink paint. The tables below show the ratios of three different shades of pink sh
Vitek1552 [10]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1) -7v + 4(2 - 5v) = -154
Bad White [126]

Answer:

v=6

Step-by-step explanation:

First let's simplify the equation so it will be easier to PEMDAS the equation later.

-7v+4(2-5v)=-154

-7v+8-20v=-154

-27v+8=-154

Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.

-27v+8=-154

-27v=-162

v = 6

5 0
3 years ago
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