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pashok25 [27]
3 years ago
9

Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph.  Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into  y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or  9 = a.  With a known, we can write the desired equation:

y - 12 = 9(x - 4)

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What are the solutions to the equation f(x)= g(x)?
PIT_PIT [208]

Answer:

2 solutions

Step-by-step explanation:

We are given the equations of f(x) and g(x).

To find f(x) = g(x), we just let those two equations equal each other

x^{2} -4x+5=x+1

Group all like terms,

x^{2} -3x+4=0

Factorise,

(x-4)(x+1)=0

x=4, x=-1

Therefore, there are two solutions

Hope this helped!!

8 0
3 years ago
Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow
Mamont248 [21]

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

5 0
3 years ago
For the function below, give the ordered pair if x = 2 f(x)=-3(x+2)2+9
Kay [80]

Answer:

(2, -39)

Step-by-step explanation:

f(x)=-3(x+2)^2+9

f(2)=-3(2+2)^2+9

f(2)=-3(4)^2+9

f(2)=-3(4)(4)+9

f(2)=-3(16)+9

f(2)=-48+9

f(2)=-39

8 0
2 years ago
Help help help please
AURORKA [14]
Answer:

I did this assignment earlier the answer is All Real Numbers.
8 0
3 years ago
Find the value of x. Round to the nearest tenth.
serg [7]

Answer:

Where is the equation?

Step-by-step explanation:

8 0
3 years ago
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