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
Nastasia [14]
3 years ago
8

20 POINTS! WILL GIVE BRAINLIEST!

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

y= x² - 3x - 3 → ( in standard form )

factor the quadratic to obtain intercept form

the factors of - 3 which sum to - 2 are - 3 and + 1

y = (x - 3)(x + 1) → ( in intercept form )

for vertex form use ' completing the square '

y = x² + 2( -1 )x + ( - 1 )² - ( - 1 )² = ( x - 1 )² - 4

y = ( x - 1 )² - 4 → ( in vertex form )



You might be interested in
What number divided by -4 equals -3?
worty [1.4K]
12 divided by -4 equals-3 .
7 0
3 years ago
The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
(WILL MARK BRAINLIEST) Solve x^2-4x-12=0. SHOW YOUR WORK! show and DESCRIBE EACH STEP!
Natasha_Volkova [10]
<span>x^2 - 4x - 12 = 0
factors
(x - 6)(x + 2) = 0
</span>Set (x - 6) and (x + 2)<span> equal to </span><span>0</span><span> and solve for </span><span>xx</span>.<span>
x -  6 = 0; x = 6
x + 2 = 0; x = -2

answer
x = -2 or x = 6</span>
8 0
3 years ago
Read 2 more answers
A college has over 5,000 students, 10, percent of which are left-handed. A new lecture hall is being planned that will seat 300
Rama09 [41]

Answer:

Mean: 30 students

Standard deviation: 5.2 students

Step-by-step explanation:

Khan

4 0
3 years ago
Five times the sum of 173 and 32
Sladkaya [172]
173+32=205 , so 205 times 5 would equal 1,025 . so the answer would be 1,025 .
4 0
3 years ago
Read 2 more answers
Other questions:
  • What related number sentence shows the Commutative Property of Addition? 3+9=12
    6·2 answers
  • An image point has coordinates B'(7, -4). Find the coordinates of its pre-image if the translation used was (x + 4, y + 5).
    6·2 answers
  • Can anyone help me plz ?? Lakita has 66 water bottles for the 5K race participants. In addition, she is planning to buy boxes of
    9·1 answer
  • What is te value of f(2)
    6·2 answers
  • What are the solutions of the equation x2 – 1 = 15?
    15·2 answers
  • I am going to buy exotic fruits. Dragonfruit costs $x-4$ dollars. Starfruit is five dollars less expensive than rambutan. Rambut
    13·1 answer
  • What is the product of 14,560 times 10 and explain the number of zeros
    6·2 answers
  • Please help me with this
    7·1 answer
  • 8. You have 51 coins made up of dimes
    15·1 answer
  • All the fourth-graders in a certain elementary school took a standardized test. A total of 82% of the students were found to be
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!