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
Sophie [7]
3 years ago
14

Which of the following equations describes the graph?

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

y = 1/2x^2 - 2x + 1

Step-by-step explanation:

The equation of the parabola in vertex form is y = 1/2 (x - 2)^2 - 1. By finding the vertex at (2,-1) we plug in the point into the formula y = a(x-h)^2 + k. To convert it to standard form like the equations listed, multiply through the distributive property to clear the parenthesis.

y = 1/2 (x-2)(x-2) - 1

y = 1/2 (x^2 - 4x + 4) - 1

y = 1/2x^2 - 2x + 2 - 1

y = 1/2x^2 - 2x + 1

You might be interested in
A 9-pack of toaster pastries costs $3.60. What is the unit price?<br> per pastry
lina2011 [118]

Answer:.40 cents

Step-by-step explanation: divide the total cost by the amount of items you have.

7 0
3 years ago
A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2
seraphim [82]

The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

<h3>What is Inequality?</h3>

Statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.

A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.

puppy: 2.8 + 0.5x

Kitten: 1.4 + 1.2x

As, kitten is no less than puppy.

Kitten ≥ puppy

1.4 + 1.2x ≥ 2.8 + 0.5x

hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

Learn more about inequality here:

brainly.com/question/23575974

#SPJ1

3 0
1 year ago
Which number forms a Pythagorean triple with 8 and 10? Is it 6 or 15?
Firdavs [7]
The answer is 6. 15 triples with 9 and 12
5 0
3 years ago
If f(x) = 7(x - 2) + 4(x + 1), what is f(2)?<br><br> A. 9 B. 10 C. 12 D. 11
KatRina [158]

Answer:

C) 12

Step-by-step explanation:

These type of questions is basically asking you to replace x with 2. f(x) is the same thing as y = but inside the f(x) is the value of x. So in this case, the numerical value of x is 2. All we need to do is replace x with it's numerical value, 2, and solve the equation.

y=7(2-2) + 4(2+1)\\y=7(0) + 4(3)\\y = 12

8 0
3 years ago
Read 2 more answers
Y = 2x + 4<br> 6x – 3y = -12<br> System by substitution 10 points
Burka [1]

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, accordin
    8·2 answers
  • What is the maximum volume of water this aquarium can hold ?
    6·1 answer
  • Travel time: 3.5 hours
    11·1 answer
  • How do I solve 3x(4x-15)
    9·1 answer
  • A book store bought 160 copies of a book from the publisher for 4,000. If the store gives away 2 books, how much money will it l
    11·1 answer
  • Start at 3, create a pattern that multiplies each number by 3. Stop when you have 5 numbers
    10·1 answer
  • Just divide and check,<br><br>(x^2 + 7x + 10) ÷ (x + 2)<br><br>​
    13·1 answer
  • Plz answer 10, 7, 12, 8, 13, 9
    12·1 answer
  • 400 m in 32 s - runners speed
    8·2 answers
  • PLEASE ILL GIVE BRAINLIEST
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!