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
Ugo [173]
3 years ago
12

The table shows the outputs, y, for different inputs, x:

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0
Part A:
Yes, the data represent a function because there is at least one x-value for every y-value.

Part B:
When x=6 in the input-output table, y=14. When x=6 in the relation f(x)=7x-15, f(x)=7(6)-15=27. <span>The equation has a greater value when x=6.

Part C:</span>
Set f(x) equal to 6 in the equation:
6=7x-15
Solve for x:
7x=21
x=3
<span>x=3 when f(x)=6</span>
You might be interested in
Factor The Trinomial<br><br> 6x^2 + 24x - 72<br><br> Show work/steps
Ymorist [56]

6x² + 24x - 72

Divide all the terms by the greatest common of factor of 6. Makes factoring easier. We will need to put this 6 on at the end so keep it in mind.

(6x² + 24x - 72) / 6 = x² + 4x - 12

Your simplified equation is x² + 4x - 12

Now to factor we must find out what two factors of - 12 can be added together to equal 4. The factors are 6 and -2:

x² - 2x + 6x - 12

Now we must group and factor.

(x² - 2x) + (6x - 12)

We can pull an x out of the first binomial because both terms have that in common:

x(x - 2) + (6x - 12)

We can pull a 6 out of the second binomial for the same reason:

x(x - 2) + 6(x - 2)

The terms inside the parentheses match each other, this means (x- 2) is one of the factors of the original trinomial. The other comes from the terms on the outside x and + 6. Put them together, (x + 6)

So your factors are (x - 2)(x + 6); this isn't it though. We need the 6 from the top, the one we divided out to make factoring easier. We will put it on the outside of whichever factor you list first so that your final answer reflects that to get back to the original trinomial, you would have to multiply the whole thing by 6.

Your final answer is:

6(x - 2)(x +6)

8 0
3 years ago
SIMPLIFY- working on algebra <br> -x-4x
blsea [12.9K]

Answer:

The correct answer is,

- 5x

5 0
2 years ago
A student has some​ $1 and​ $5 bills in his wallet. He has a total of 11 bills that are worth ​$31. How many of each type of bil
aleksley [76]

Answer:

6 $1 bills, 5 $5 bills

Step-by-step explanation:

Say the student has x $1 bills.

Then they have 11 - x $5 bills.

31 = 1 * x + (11 - x) * 5 = 55 - 4x

4x = 55 - 31 = 24

x = 6

So, they have 6 $1 bills and 11 - 6 = 5 $5 bills

5 0
2 years ago
Read 2 more answers
What is the radius and diameter of the following circle?<br>​
kupik [55]
Diameter- 7.5
radius-3.75
(these are rounded)
6 0
3 years ago
Read 2 more answers
3/4 divided by 5/6 <br> explain how to do this please!
Galina-37 [17]

Answer:

9/10

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to x−2y ?
    9·2 answers
  • Determine the relationship between the number of desks in the classroom and
    11·1 answer
  • 27 is nine more than six times<br> Hugo's age. What is Hugo's<br> age?
    11·2 answers
  • 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using sides and angles, which type of triangle Kevi
    9·1 answer
  • molly works at an electronics store her last customer purchased a dvd player for $63.04 and five dvds for $58.27 including taxes
    15·1 answer
  • PLEASE PLEASE PLEASE HELP!!
    11·1 answer
  • A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest
    10·1 answer
  • In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?
    7·1 answer
  • I really need help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    14·2 answers
  • Make x the subject of the formula 6x+a=5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!