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
Rus_ich [418]
3 years ago
10

Use the parabola tool to graph the quadratic function f(x)=(x−2)(x−6) . Graph the parabola by first plotting its vertex and then

plotting a second point on the parabola.
Mathematics
1 answer:
stepan [7]3 years ago
3 0
Where's the so-called "parabola tool?"

The vertex is relatively easy to find.  Find the midpoint of the segment of the x-axis connecting x=2 and x=6; it is x=4.  Then evaluate the function at x=4:

f(4) = (4-2)(4-6) = 2(-2) = -4.  The vertex is at (4,-4).

Plot (4,-4).  Then (arbitrarily) let x=0 and find y:  f(0) = y = (-2)(-6) = -12.
So, when x = 0, y = -12.

Plot this point (1, -12).  realize that the parabola is symmetric about the line x=4.  (1,-12) is 3 units to the left of the axis of symm, and thus another point on the parab. is 3 units to the right of this axis, x= 7.  Plot (7,-12).  Now draw the parabola thru (7,-12), (1, -12) and (4, -4).  The parab. opens up.
You might be interested in
n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
3 years ago
700 tickets to the school play were sold by students. Meryl sold 56 tickets. What percent of the tickets did Meryl sell?
Anni [7]

Answer: 644

Step-by-step explanation:

700 - 56 = 644

4 0
2 years ago
substitute the given values into the formula & solve for the unknown variable A = bh ; A = 12 , b =4
Sauron [17]

A = bh

12 = 4 × h [substitute A for 12 and b for h]

12 / 4 = h

3 = h

Therefore, h equals 4.



7 0
3 years ago
A family of three children and two adults visited a health club. The club charges $y an hour for each child and $x an hour for e
storchak [24]

Answer:

The first graph would be correct

Step-by-step explanation:

7 0
3 years ago
Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst
BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment =  starting outstanding balance   +   0.625% of interest on  starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction  = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 ,  $937.5  goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0
3 years ago
Other questions:
  • The area of a rectangular garden if 6045 ft2. If the length of the garden is 93 feet, what is its width?
    5·2 answers
  • Does anyone know how to solve the second half of this question?
    9·1 answer
  • Alex is practicing his dives at a pool. He dies from the diving board that is 15 feet above the surface of water. His dive takes
    8·1 answer
  • Please answer. View picture.
    15·1 answer
  • Suppose a triangle has sides 1,1, and 1. Which of the following must be true
    11·2 answers
  • From a sample with nequals=1616​, the mean number of televisions per household is 22 with a standard deviation of 11 television.
    14·1 answer
  • What is the length of bc?
    14·1 answer
  • Solve for y: Round to one decimal spot.
    12·1 answer
  • Ez points
    12·1 answer
  • Can someone answer this for me
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!