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
goldfiish [28.3K]
3 years ago
14

What is the equation, in standard form, of a parabola that models the values in the table?

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
<span> f(x) = ax^2 + bx + c

f(0) = ax^2 + bx + c = 5, c = 5
f(-2) = 4a + -2b + 5 = 1 ----------(1)
f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
</span><span>16a + 4b = -64 
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
<span>a = 7
</span>4a - 2b = -4 
28 - 2b = -4
b = 16

</span><span>f(x) = 7x^2 + 16x + 5</span>
You might be interested in
cookie recipe calls for 1/4 teaspoon of vanilla extract she has 9/12 of a teaspoon in her kitchen how many batches of cookies ca
Andreas93 [3]
She can make 3

(9/12= 3/4)
7 0
3 years ago
Pls help math problem
IgorLugansk [536]

Answer:

angle plm+angle lpm+angle pml=180°[by angle sum property]

21°+angle lpm+38°=180°

59°+ lpm=180°

lpm=180°-59°

lpm=121°

lpm+npl=180°[by limear pair]

121°+npl=180°

npl=180°-121°

npl=59°

5 0
3 years ago
15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D
harkovskaia [24]

Answer:

Option D: 20km South

Step-by-step explanation:

Lets say A = (0, 0)

  • Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

  • Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

  • Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

     1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

     2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)

4 0
2 years ago
4. Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour.
andrew-mc [135]

Answer:

$19.20

Step-by-step explanation:

if every hour they pay$4.80 and they go ice skating for 4 hours all you have to do is multiply $4.80 x 4

5 0
3 years ago
What is equivalent to 35d-25
baherus [9]

Answer:

5(7d-5)

Step-by-step explanation:

taking 5 common from  35d-25

= 5(7d- 5)

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me.........
    7·1 answer
  • Amalia is scuba diving at a position 24.25 feet below sea level.she descends 0.5 foot each minute for 25 minutes what is Amalias
    5·1 answer
  • Suppose the labor force is 189 million of a possible 244 million working-age adults. The total number of unemployed is 15 millio
    6·1 answer
  • I need help with number 6c
    11·1 answer
  • Factor completely.<br> 75 - 7' + 3.1 - 3
    5·1 answer
  • Can someone help me?
    12·1 answer
  • Find x if f(x)=-21: f(x)=2x+9​
    9·1 answer
  • Abbey is ordering pizza from dominios. she has a 20% off coupon. If the pizza costs $15.99, what is her final cost?
    12·1 answer
  • I’m not sure what this means
    9·1 answer
  • Cindy works at Jurassic Park and has been tasked to design a container in the shape of a rectangular prism for the incoming baby
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!