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
Daniel [21]
3 years ago
8

Convert this quadratic function to vertex form.

Mathematics
1 answer:
hammer [34]3 years ago
3 0
Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1

Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.

You might be interested in
I WILL MARK BRAINLIEST
vagabundo [1.1K]

Answer:

\frac{81}{m^7}

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

(3m^{-4} )^3(3m^5)

Remove the parenthesis around 3m^5 :

(3m^{-4} )^3*3m^5

Do the exponent rule for outside and inside exponent parenthesis :

(3m^{-4*3} )

3^3m^{-12} *3m^5

Apply addition exponent rule :

m^{-12} *3^{3+1} m^5

Add :

m^{-12} *3^4m^5

Apply the addition rule for -12 + 5 :

3^{4} m^{-7}

Apply negative exponent rule for m^-7 :

3^4*\frac{1}{m^7}

Multiply the fractions :

\frac{1*3^4}{m^7}

\frac{81}{m^7}

3 0
3 years ago
Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0
2 years ago
Nick has a box of ornaments that he uses to
Lelu [443]

Answer:

18

Step-by-step explanation:

6 + 6 + 6 = 18

If this helps, please give me branliest! I need it.

7 0
3 years ago
What is the area of the shaded portion in the parallelogram below?<br>​
tensa zangetsu [6.8K]

Answer:

Area of trapeze= (B+b):2×h

Therefore : (7+10):2×4=34

Good luck!

5 0
3 years ago
Can someone help please and thank you.
natita [175]

5)

Equilateral triangle, all sides are equal

So 2x + 5 = 11

2x = 6

x = 3

Answer is the first one

3; Equilateral theorem


6)

Isosceles triangle has at least two congruent sides.

So 6x = 24

x = 4

Answer x = 4

Converse of the Base Angle Theorem


7)

5x + 7 = 52

5x = 45

 x = 9

Answer

x = 9

Base angle theorem


8)

5y - 14 = 3y

2y = 14

 y = 7

Answer

7; Equiangular theorem


4 0
3 years ago
Other questions:
  • What is the midpoint of EC ?
    9·1 answer
  • Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops
    7·2 answers
  • What is the solution of_5(s_30)=10
    8·1 answer
  • A ball is dropped from a height of 10 feet and returns to a height that is one-half of the height from which it fell. The ball c
    9·1 answer
  • Consider the rational expression x2+6x−2/6x−5 .
    6·2 answers
  • Based on the box-and-whisker plot shown below, match each term with the correct value.
    13·1 answer
  • If xy +6e^y = 6e, find the value of y" at the point where x = 0
    13·1 answer
  • Solving systems of equations y=-3x+4 and x=2y+6
    5·1 answer
  • Evaluate the expression when h = 12, p = 7<br><br> 4h −2p −10
    12·1 answer
  • HURRY PLEASE I NEED HELP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!