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const2013 [10]
3 years ago
14

F(x) = 4/9x + 7 linear or nonlinear?

Mathematics
2 answers:
hodyreva [135]3 years ago
8 0

Answer:

linear. :)

Step-by-step explanation:

mixer [17]3 years ago
3 0

Answer:

It depends on what you meant. See below.

Step-by-step explanation:

What you wrote means this:

f(x) = \dfrac{4}{9}x + 7

This is linear.

If you meant this

f(x) = \dfrac{4}{9x} + 7

or this

f(x) = \dfrac{4}{9x + 7}

then it's non-linear.

An x in the denominator makes a function non-linear.

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Please help will mark you Brainliest
Alina [70]

Answer:11

Step-by-step explanation:Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-5)-(18)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 3 • (x - 5) -  18  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3x - 33  =   3 • (x - 11)  

Equation at the end of step

3

:

 3 • (x - 11)  = 0  

STEP

4

:

Equations which are never true:

4.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

One solution was found :

x = 11

8 0
3 years ago
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
lora16 [44]

Answer:

x ≤ 204 crates

Step-by-step explanation:

Greatest weight of the container = 27500 kilograms

Weight of other shipment = 7100 kilograms

Weight of crates = 100 kilogram

x = number of 100 kilogram crates that can be loaded into the shipping container.

The inequality:

27500 ≤ 7100 + 100x

27500 - 7100 ≤ 100x

20,400 ≤ 100x

x ≤ 20,400 / 100

x ≤ 204 crates of 100 kilogram

4 0
3 years ago
Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)
Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)

= -44 + 16n + 6n - 27

= -44 + 22n - 27

= -71 + 22n

7 0
3 years ago
Read 2 more answers
Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
coldgirl [10]

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

7 0
3 years ago
the price of a certain product is discounted by 10%, and the reduced price is then discounted by another discount is offered fro
marysya [2.9K]
O times 10%+D=Discounted price
6 0
4 years ago
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