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
zepelin [54]
3 years ago
15

Please help me w the answer

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

\frac{()}{(x-4)(x-5)}

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ((x - 6)(x-10)). Now one has this much of the function assembled

\frac{(x-6)(x-10)}{(x-4)(x-5)}

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

You might be interested in
Order -1 2/3, 1- 3/8, -1 4/5, and -1 9/20
Elis [28]
From least to greatest?
5 0
3 years ago
Read 2 more answers
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. What is it’s area in square feet
Alla [95]

Answer: 252 square feet

Step-by-step explanation:

lets remember that 1 yard= 3 feet

7 yards= 7*3=21 feet

4 yards= 4*3=12 feet

we know that area of a rectangle= LxW

21 x 12= 252 square feet

6 0
3 years ago
Charlie reads quickly . He reads 1and3/7 pages every 2/3 minutes.How many pages does he read pre minute?
SVETLANKA909090 [29]
Hello there!

First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?

Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...

The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.

The are asking us how many pages does he reads per minute.

So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute

Cross multiply

0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11

So, Charlie reads 2.11 pages in 1 minute.


I hope this helps. Please let me know if you have questions about the answer.

Thanks!


5 0
3 years ago
A triangle has side lengths of 7 centimeters, 5 centimeters, and c centimeters.
storchak [24]
Sum of two sides always greater than the third side

If c is the smallest number, then

5 + c > 7
c > 2

If c is the largest number, then

5+7>c
12>c

Adding c>2 and 12>c, you get 12>c>2 for the answer
4 0
3 years ago
Read 2 more answers
1/5r+ 8/15 when r=1/3
ZanzabumX [31]

Answer:

3/5

Step-by-step explanation:

1/5r + 8/15

~Substitute

1/5(1/3) + 8/15

~Simplify

1/15 + 8/15

~Add

9/15

~Simplify

3/5

Best of Luck!

5 0
3 years ago
Other questions:
  • Harriet made a list of all her monthly expenses. What is Harriet’s total cost for housing in a month? total housing = $ eating o
    15·1 answer
  • Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0​
    12·1 answer
  • Simplify -15+33-12+(-12)
    14·2 answers
  • 25POINTS!!Which expression is equivalent to 3 x 5 x 5 x 5 x 5 X 5 X 5?
    7·2 answers
  • Find the radius of a circle with a circumference of 35 pie yards
    13·1 answer
  • What is the range of 45,72,76,82,82,84,89,90,92
    14·1 answer
  • I AM Confused on what to even do pls help
    15·1 answer
  • I NEED HELP FAST! I WILL GIVE BRAINLIEST!!!
    5·1 answer
  • PLEASE HELP ME ASAP ​
    9·1 answer
  • In the diagram, quadrilateral EFGH is similar to quadrilateral PQRS. Using the graph, determine the coordinates of H. DRAG &amp;
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!