1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kodGreya [7K]
3 years ago
13

Determine if the equation is linear. If so, graph the function.

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

You might be interested in
Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at
lorasvet [3.4K]
We'll represent the distance as d and the time as t. 
d= 3(t+7)            because Gilda is 7 minutes late when travelling 3 mph
d= 4(t-5)             because Gilda is 5 minutes early at 4 mph

d= 3t + 21
d= 4t -20
3t +21 =4t -20
41=t
d= 3(41) +21= 144
The distance is 144 miles. 
7 0
3 years ago
Read 2 more answers
A company makes plastic beach balls with a radius of 2 inches. How many square inches of plastic does the company
frutty [35]

Answer:

502.4 in²

Step-by-step explanation:

Area of a sphere = 4 πr²

Plastic beach balls are spherical in shape.

Hence, the Area of a sphere = 4πr²

Where r = radius = 2 inches

π = 3.14

Hence, the area of one spherical ball =

4 × 3.14 × 2²

= 50.24 square Inches

For 1 spherical ball, 50.24 square inches of plastic is needed to make it.

How many square inches of plastic does the company need to make 10 beach balls?

Therefore,

1 spherical ball = 50.24 in²

10 spherical balls = x

Cross Multiply

x = 10 × 50.24 in²

x = 502.4 in²

Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.

4 0
3 years ago
Read 2 more answers
Ok so I have 40 and I need to make it into a mixed fraction
slava [35]
Your Answer Is 40 It’s Simple Really If You Kinda Think About It But Has A Fraction It Would Be 40/1
8 0
3 years ago
If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rect
Veseljchak [2.6K]

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

4 0
3 years ago
Simplify the following expression: 4 / y to the -3 power.
kirill [66]
The mathematical expression of the given above is 4/y^-3 where only the denominator is raised to exponent -3. Remember that the expression x^-n may also be expressed as 1/x^n. Thus, for the given, transfer the y^-3 of the denominator to the numerator to give the final answer of 4y³.
3 0
3 years ago
Other questions:
  • Pricing Math Quiz
    10·1 answer
  • Complete the coordinate table for the given equation.
    12·1 answer
  • Simply the expression shown. 3x + 2 - 3x + 7 +5x what is the coefficient in the simplified expression ?
    15·2 answers
  • Classify the triangle with angles with measures 33, 90, and 57 as acute, right, or obtuse.
    12·2 answers
  • If Diana and Steven been dating since January 28 and broke up on the 20th of February how long have they dated
    11·1 answer
  • HELP ASAP.<br><br> Find the inverse of g(x)=1/3x-7 and find its domain and range
    6·1 answer
  • Find the mean absolute deviation for the set -32,9,11,12<br> A.0<br> B.8<br> C.16<br> D.32
    7·1 answer
  • A square has a side of 3x - 4 what is the area of the Square in terms of x?
    10·1 answer
  • Please answer ASAP!
    7·1 answer
  • ABCD is a quadrilateral.<br><br> Sides are extended as shown.<br><br><br> Show that x = 100°
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!