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
Maslowich
2 years ago
7

What is the equation of the parabola passing through the points(0,6). (3, 15.6), and (10,-4)?​

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

You might be interested in
Helllp pls help and don’t comment if u don’t know
inna [77]

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

   7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

   5x²-2x-1-3x²+5x-7

   2x²+3x-8

4 0
2 years ago
Read 2 more answers
Compare the functions shown below:<br><br> Which function has the greatest maximum y-value?
solmaris [256]
Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3

The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.

For h(x), the max occurs when cosine is at its largest: when cos(x) = 1. 
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well

--------------------------------

Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2

3 0
3 years ago
Read 2 more answers
Help me in this question
Nat2105 [25]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
1. What is the area of the figure below? (1 point)
maw [93]

Answer: 36in2

Step-by-step explanation:

A= base *height

=12*3

=36

4 0
3 years ago
The beads in 7 bracelets if 4 bracelets have 96 bead
Naya [18.7K]
96/4=24 beads in 1 bracelet
beads in 7 bracelets = 24*7=168
3 0
3 years ago
Other questions:
  • Two movie tickets and 3 snacks are $24.two movie tickets and 5 snacks are $28.how much is a movie ticket and how much is a snack
    10·1 answer
  • Whats -8,24,0,9,-13,17 in order from greatest to least
    7·2 answers
  • Which linear inequality is represented by the graph?
    10·1 answer
  • Find the missing side, round the nearest tenth
    14·1 answer
  • A 6-pack of felt-tip pens costs $2.16. What is the unit price?<br>​
    13·2 answers
  • What is the slope of the line that contains these points?
    10·1 answer
  • HELP QUICK PLS!!!
    11·1 answer
  • Help me to answer this Math pls​
    13·1 answer
  • Deshawn’s dog almondine has a growing litter of puppies
    13·2 answers
  • Use the data in the table to describe how the population in a town is changing. Then identify a function that
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!