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
Zoe is solving the equation 3x – 4 = –10 for x. She used the addition property of equality to isolate the variable term as shown
kherson [118]
3x-4 = -10

3x-4 +4 = -10 +4

3x = -6

then you can divide it :

x = -6 : 3

x= -2
3 0
3 years ago
Do any of y'all know how to do this I'm so confused and I need help ​plz
nekit [7.7K]

Answer:

the 2nd

Step-by-step explanation:

8 0
3 years ago
Find the slope of the line passing through the points (-6,2), (0,-6).
Serhud [2]

C. -4/3

slope =  \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )}  \\  =  \frac{( - 6 - 2)}{(0 -( -  6)}  \\  =  \frac{ - 8}{ 6}  \\  =   - \frac{4}{3}

3 0
3 years ago
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fa
lesya692 [45]

Answer:

Type I: 1.9%, Type II: 1.6%

Step-by-step explanation:

given null hypothesis

H0=the individual has not taken steroids.

type 1 error-falsely rejecting the null hypothesis

⇒   actually the null hypothesis is true⇒the individual has not taken steroids.

 but we rejected it ⇒our prediction is the individual has taken steroids.

typr II error- not rejecting null hypothesis when it has to be rejected

⇒actually null hypothesis is false ⇒the individual has taken steroids.

but we didnt reject⇒the individual has not taken steroids.

let us denote

the individual has taken steroids by 1

the individual has not  taken steroids.by 0

                            predicted

                              1       0

   actual          1    98.4%  1.6%

                        0   1.9%   98.1%

so for type 1 error  

 actual-0

predicted-1

therefore from above table we can see that probability of Type I error is 1.9%=0.019

so for type II error

   actual-1

predicted-0

therefore from above table we can see that probability of Type I error is 1.6%=0.016

5 0
3 years ago
Putting the other player's king in check is always a good move. true or false subject: chess
Elena-2011 [213]

Putting the other player's king in check is always a good move. true

<h3>What is chess?</h3>

  • The policies of chess allow a king to take an opponent's piece whilst in check, so long as that piece isn't always being defended.
  • At the equal time, a king in the test is usually forced to move.
  • The standard regulations of chess, a participant may not make any pass that places or leaves their king in the test.
  • A player may additionally pass the king, seize the threatening piece, or block the check with some other piece.
  • A king cannot look at the opposing king, considering this will vicinity the first king in check as well.

Learn more about chess here:-

#SPJ2

7 0
2 years ago
Other questions:
  • Last one of the night
    6·1 answer
  • Twice a number minus 5 is 7
    9·2 answers
  • If sin α + cos α = 1.2, find sin α · cos α THANKS! (:
    9·1 answer
  • Picking an even number from a jar with papers labeled from 1-12
    14·2 answers
  • you're 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you ma
    9·1 answer
  • PLEASE HELP, I’ve been stuck on this question for a whileIn the diagram, AB is divided into equal parts. The coordinates of poin
    8·1 answer
  • A deck of cards contains 52 different cards. A card is drawn at random. What
    15·1 answer
  • Simplify 5 over -32 squared simplified
    5·2 answers
  • I NEED AN EXPLANATION OF HOW TO SOLVE THIS, NOT JUST THE ANSWER
    8·1 answer
  • PLEASE PLEASE PLEASEE HELP LAST TIME I ANSWERED NOBODY ANSWER PLS HALP
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!