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
nasty-shy [4]
3 years ago
12

Solve y=1/4x-1 if the domain is {-4,-2,0,2,4}.

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Allowed values for y: -2,-\frac{3}{2},-1,-\frac{1}{2},0

Step-by-step explanation:

The domain of a function f(x) represents the set of values for which the function is defined. In other words, it represents the values of x that are allowed.

The function in this problem is:

y=\frac{1}{4}x-1

And the domain is

D: {-4,-2,0,2,4}

This means that these are the only allowed values for x. We can find the range of the functions (the possible values for y) simply by substituting these values of x into the function. We get:

For x = -4,

y=\frac{1}{4}(-4)-1=-1-1=-2

For x = -2,

y=\frac{1}{4}(-2)-1=-\frac{1}{2}-1=-\frac{3}{2}

For x = 0,

y=\frac{1}{4}(0)-1=-1

For x = 2,

y=\frac{1}{4}(2)-1=\frac{1}{2}-1=-\frac{1}{2}

For x = 4,

y=\frac{1}{4}(4)-1=1-1=0

Therefore, the allowed values for y are:

-2,-\frac{3}{2},-1,-\frac{1}{2},0

Learn more about domain and range:

brainly.com/question/7128279

brainly.com/question/9607945

brainly.com/question/1485338

#LearnwithBrainly

You might be interested in
Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?
Strike441 [17]
For this case we have that the original point is given by:
 B = (7, 2)
 As the point is reflected through the x axis, then we have the following transformation:
 (x, y) --------------> (x, -y) -------------> (x ', y')
 Applying the transformation to the original ordered pair we have:
 (7, 2) --------------> (7, - (2)) -------------> (7, -2)
 Answer:
 
Point B 'is given by:
 
B '= (7, -2)
8 0
3 years ago
Read 2 more answers
First step to solve this equation 5k+6=-9
NikAS [45]

Answer:

Subtract 6 from both sides of this equation.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which numbers are 9 units from −5 on this number line?
ExtremeBDS [4]

Using the number line, the numbers that are 9 units from -5 are: -14 and 4.

<h3>How to Locate a Number on a Number line?</h3>

To find two numbers that cover the same units from a given point on a number line, we can simply do the following:

  • Count the number of units given backwards/to the left from the point stated to get the first number.
  • Count the number of units given forwards/to the right from the point stated to get the second number.

Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.

Count 9 units backwards/to the left from -5 to get the first number, which is: -14

Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.

Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.

Learn more about number line on:

brainly.com/question/24644930

#SPJ1

8 0
1 year ago
Please help :(,,,,,,???,,,,,,
nadya68 [22]

Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

{15x}^{2} (5x) =  {75x}^{3}   \\ 19x(5x)  = 95 {x}^{2} \\  6(5x)  = 30x

{15x}^{2} (3) = 45 {x}^{2}  \\ 19x(3) = 57x \\ 6(3) = 18

Combine like terms

{75x}^{3}  +  {95x}^{2}  +  {45x}^{2}  + 30x + 57x \\  + 18 = \\   {75x}^{3}  +  {140x}^{2}  + 87x + 18

The second one asks you to divide.

Factor out f(x):

{15x}^{2}  + 19x + 6

From dividing f(x) /g(x)

\frac{ {15x}^{2} + 19x + 6 }{5x + 3}

To

\frac{(5x + 3)(3x + 2)}{5x + 3}

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

5 0
3 years ago
Solve the system of equations algebraically by using substitution method:
vredina [299]

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

3 0
3 years ago
Other questions:
  • Couldn't find science but this is a science question.
    12·1 answer
  • What number should be added to the expression x2 + 12x to change it into a perfect square trinomial? (a.6 ( b.18 (c.12 (d.36
    10·1 answer
  • What are the numerical measures of each angle in the
    11·1 answer
  • Hurry please <br><br> Express $112 for 14 hours as a unit rate
    12·1 answer
  • The value of 2^0 ??
    12·2 answers
  • Refer to pictures help asap please
    15·1 answer
  • Find the value of x in the triangle shown below.<br> X=?
    12·1 answer
  • 4. Calculate the surface area of this triangular prism.
    7·1 answer
  • Write four different equations that have –3 as the solution. (2 points each)
    15·2 answers
  • 23-2(17+3^3)<br> Sjshjshdjsjshs
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!