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
Slav-nsk [51]
3 years ago
8

Bonus: 2 points for vertex form or standard form, 5 points for both

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

9514 1404 393

Answer:

  • y = (x -3)² -5
  • y = x² -6x +4

Step-by-step explanation:

The vertex form of the quadratic equation is ...

  y = a(x -h)² +k . . . . . . . . . vertex (h, k); vertical scale factor 'a'

Given the vertex, we can find the scale factor by substituting the given point values:

  11 = a(-1 -3)² -5

  11 = 16a -5

  a = (11 +5)/16 = 1

So, the vertex form equation is ...

  y = (x -3)² -5 . . . . . vertex form

Expanding this gives the standard form.

  y = x² -6x +9 -5

  y = x² -6x +4 . . . . . standard form

You might be interested in
9. Complete the reasons in the proof below.
Arada [10]
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.

Feel free to ask further questions!
4 0
3 years ago
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
dlinn [17]

Answer:

870 as it is the only number in the list which closest and lesser then 956.

(if you divide, then you get 10 as quotient and 86 as remainder)

we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

6 0
2 years ago
The dot plot shows the number of magazines sold determine the median of the date set
marta [7]
To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle
8 0
3 years ago
Can someone please help me with this
dedylja [7]
I think it would be most likely A the first  one.
5 0
3 years ago
Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
Other questions:
  • My answer is 5.11<br><br> Correct ?
    5·2 answers
  • Find the area of the following ellipse.
    11·1 answer
  • What the health I have no clue help! Number 8
    10·1 answer
  • What is cos (x)?<br><br> A) 48/58<br><br> B) 58/48<br><br> C) 26/58<br><br> D) 58/26
    10·1 answer
  • If f(x) =<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2B3" id="TexFormula1" title="\sqrt{x} +3" alt="\sqrt{x} +3" align="
    8·2 answers
  • Which expressions are equivalent to 10a - 25 + 5b10a−25+5b10, a, minus, 25, plus, 5, b?
    15·1 answer
  • Tia lives at the corner of 4th Street and 8th Avenue. Lei lives
    13·1 answer
  • In order for students to have a club at school they need a minimum of 27 students. If there are 19
    7·1 answer
  • . Katie withdrew a total of $300 from her bank account over the last 5 weeks. How much money did she withdraw each week? Write a
    9·1 answer
  • Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!