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
anygoal [31]
2 years ago
8

The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +

Mathematics
1 answer:
CaHeK987 [17]2 years ago
3 0

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

You might be interested in
mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma
Aneli [31]
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: r= \frac{c^2}{8m} + \frac{m}{2}
where 
c is the length of the chord 
m is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so c=52 and m=6. Lets replace those values in our formula:
r= \frac{52^2}{8(6)} + \frac{6}{2}
r= \frac{2704}{48} +3
r= \frac{169}{3} +3
r= \frac{178}{3}

Next, to find the minimum speed, we are going to use the formula: s= \sqrt{15fr}
where
f is <span>drag factor
</span>r is the radius 
We know form our problem that the drag factor is 0.2, so f=0.2. We also know from our previous calculation that the radius is \frac{178}{3}, so r= \frac{178}{3}. Lets replace those values in our formula:
s= \sqrt{(15)(0.2)( \frac{178}{3}) }
s= \sqrt{178}
s=13.34 mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 
8 0
3 years ago
The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence
Helga [31]
Answer: 17

21-4=17


4+17=21
21+17=38 and so on..
7 0
3 years ago
Here's a super easy one. <br><br> What part of 72 is 36a?
skelet666 [1.2K]
222222222222222222222222222222222
4 0
3 years ago
a money market fund advertises a simple interest rate of 9% find the total amount received on an investment of 5000 for 17 month
I am Lyosha [343]

Answer:

Step-by-step explanation:

Formula: Simple interest = PRT

P= 5000

R= 9%

T= 17

So, 5000 x 9/100 x 17 = 7650

5 0
2 years ago
What's 4 divided by 5 nineths
FrozenT [24]

Answer:

I think the answer is 7.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • I have two questions to solve<br><br> -3x+10=34<br><br> 13x-4=11x+10-8
    12·2 answers
  • In a week, 15 hens laid 75 eggs, what is the unit rate for eggs per hen?
    12·2 answers
  • During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 2
    5·1 answer
  • nine people are to be distributed among three committees of two, three, four members and a chairperson is to be selected for eac
    8·1 answer
  • What is the area of this?
    12·1 answer
  • 1. Determine the discriminant and nature of roots of each quadratic equation.
    7·1 answer
  • Tablets are on sale for 15% off original price with the function p(t)=0.85t
    9·1 answer
  • There is a graph on my hw test
    12·1 answer
  • Mount Rogers rises 1/4 mile above sea level. Mount Taylor rises 6 times as high as Mount Rogers. Mount Sullivan rises 2 times as
    13·1 answer
  • If ΔABC ≅ ΔFDE, which of the following statements is true? (1 point)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!