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
sladkih [1.3K]
3 years ago
8

Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).

Mathematics
2 answers:
Sophie [7]3 years ago
5 0

Answer:

https://socratic.org/questions/how-do-you-write-the-equation-of-the-quadratic-function-with-roots-6-and-10-and-

Step-by-step explanation:

Margaret [11]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given the roots are x = 6 and x = 10, then

the factors are (x - 6) and (x - 10)

The quadratic is then the product of the roots

y = a(x - 6)(x - 10) ← a is a multiplier

To find a substitute (8, 2) into the equation

2 = a(2)(- 2) = - 4a ( divide both sides by - 4 )

a = - \frac{1}{2}

Hence

y = - \frac{1}{2}(x - 6)(x - 10) ← expand factors

y = - \frac{1}{2}(x² - 16x + 60) ← distribute

y = - \frac{1}{2} x² + 8x - 30

You might be interested in
Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
Elza [17]

a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}

So, the function will be;

y=18.25x+28

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.​

Using the same rule as in a above;

\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}

The function will be;

y=-15x+161

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0
2 years ago
What is the value of q in the equation 59 - 10 = 75? ​
solmaris [256]

Answer:

\bf A)\;17

Step-by-step explanation:

\tt 5q-10=75

\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides

\tt 5q=85\;\;\;\bf Simplify

\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5

\tt q=17\;\; \;\bf Answer

------ " ☆ "

4 0
2 years ago
Help will give brainliest
podryga [215]

Answer:

c. quadrant 111

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
There are total of 63 bikes on a store.if the ratio of blue to red bikes is 4 to 5, how many of the bikes are blue
Triss [41]
4+5=9
63/9=7
7*4=28
7*5=35
If u add 28 and 35 the answer will be 63. I multiply the 4(blue bikes) to 7 and it equals to 28, so there are 28 blue bikes
8 0
4 years ago
CAN SOMEONE HELP WITH THE STEPS THXX
ss7ja [257]
4 for #1
1.3 for #2
Rate this 5 stars please
8 0
3 years ago
Other questions:
  • Mrs. Walter needs to cook her turkey in the oven for 5 hours and 15 minutes. If she puts the turkey in the oven at 8:15 AM, when
    8·1 answer
  • Change the following into an ordinary decimal number: <br> 9.203 x 10 (to the power of) 6
    15·2 answers
  • What is the greatest common factor?
    9·1 answer
  • Find the local tax deducted, $456 biweekly and 2 1/2 %tax
    5·2 answers
  • Use the net to find the surface area of the prism 8in 15in 17in 9in
    11·1 answer
  • Which of the following is an arithmetic sequence with common difference 2?
    6·1 answer
  • The price of a skateboard was reduced from $80 to $50. By what percentage was the price of the skateboard reduced?
    10·1 answer
  • 6 ) hey pls help me with his I have the answers all I need is to show the work
    12·1 answer
  • Simplify: 2/3 + 3/5<br><br> I will give brainliest if I can!
    6·2 answers
  • Which set of numerical values represents the lower quartile, the median, and the upper quartile, in that order, of the box plot
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!