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
devlian [24]
3 years ago
8

Find a quadratic function that includes the set of values below. (0,9). (2,15) (3,12)

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

f(x) = -2x^2 + 7x + 9

Step-by-step explanation:

f(x) = ax^2 + bx + c\\f(0) = 9 => c = 9;\\f(2) = 15 = 4a + 2b + 9  2a + b  = 3\\f(3) = 9a + 3b + 9 = 12  3a + b = 1\\Subtract the second equation from the first:\\-a = 2 => a = -2; b = 7; c = 9\\f(x) = -2x^2 + 7x + 9

You might be interested in
If storm has 3 bars she needs 22 bars but one bar equals 4 ores how many ores does she need?
oee [108]

Answer:

19 bars =<u> 76 more ores.</u>  22 bars = <u>88 total ores.</u>

Step-by-step explanation:

y = 4x

(4 times a number. Ex: x could be 98740757 or 2, it doesn't matter.)

1 b = 4 o

3 b = 12 o

22 - 3 = 19 b

19 b = 76 o (more)

22 b = 88 o (total)

5 0
3 years ago
Read 2 more answers
Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
kaheart [24]

Answer:

B and E

Step-by-step explanation:

trust me its correct

6 0
3 years ago
Consider a single spin of the spinner.
alex41 [277]

Answer:

"landing on a shaded portion and landing on a 3"

"landing on an unshaded portion and landing on a number less than 2 "

Step-by-step explanation:

Mutually exclusive means the events will have no intersection.

Let's look at your first choice:

"landing on a shaded portion and landing on an even number"

Landing on a shaded portion would be 1 or 4.

Landing on an even number would be 2 or 4.

There is an intersection (they contain a common element), the 4.

These events are not mutually exclusive.

Let's look at your second choice:

"landing on a shaded portion and landing on a number greater than 3"

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

There is an intersection; they both contain 4.

These events are not mutually exclusive.

Let's look at your third choice:

"landing on a shaded portion and landing on a 3"

Landing on a shaded portion would be 1 or 4.

Landing on 3 would just be 3.

There is no common elements in the lists listed.  These events have no intersection.

These events are mutually exclusive.

Let's look at your fourth choice:

"landing on an unshaded portion and landing on an odd number"

Landing on a unshaded portion would be 2 or 3.

Landing on an odd number would be 1 or 3.

There is an intersection; they both have 3 in common.

These events are not mutually exclusive.

Let's look at your fifth choice:

"landing on an unshaded portion and landing on a number less than 2 "

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection.

These events are mutually exclusive.

6 0
3 years ago
Read 2 more answers
The table shows the different types of shoes available at a family shoe store.
Wittaler [7]

Answer:

about 48.6%

Step-by-step explanation:

20 women's shoes are athletic.

35 women's shoes are formal.

52 women's shoes are casual.

The total number of women's shoes is 107.  So the probability that a randomly selected one is casual is:

P = 52/107

P ≈ 48.6%

6 0
3 years ago
0.5y-2 2/5=1/2y+2.4<br> solve for y
DochEvi [55]

Answer:

0

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which relation is a function? A. X -14,-9-1,4,6 Y 6,2,-3,2,4 B. X -2,1,9,9,15 Y -3,-3,0,-8,12 C. X -4,6,6,7,9 Y -1,-3,-1,15,1 D.
    14·1 answer
  • A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents th
    5·2 answers
  • According to Masterfoods, the company that manufactures M&amp;M's, 12% of peanut M&amp;M's are brown, 15% are yellow, 12% are re
    13·1 answer
  • If the vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4), which coordinates are the coordinates of the
    9·1 answer
  • The distance covered by one step is 2.5 feet long. how many steps would the average person take to travel 50 feet
    5·2 answers
  • Talya works six hours per day on Fridays and Saturdays each week she earns $8.20 per hour what is her gross pay in a week
    9·1 answer
  • Today is Wednesday. What day of the week is 80 days from today?<br><br> SHOW WORKKK
    5·2 answers
  • Part a: identity a fraction equivalent to 15/60. show all work.
    7·2 answers
  • Can someone help me
    5·1 answer
  • PLEASE HELP PLEASE SOLVE ALL!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!