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
Snowcat [4.5K]
3 years ago
11

The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term i

n the parabola's equation?
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

the coefficient of the squared expression is 5.

Step-by-step explanation:

the equation of a parabola in its vertex form is y=a(x-h)²+k, where (h, k) is the vertex of the parabola.

in this case, h=3, k=-2, so y=a(x-3)-2

plug (4,3) in the equation: 3=a(4-3)²-2, a=5

You might be interested in
A rectangular prism is 15 centimeters long, 2 centimeters wide, and 6 centimeters high. What is the surface area of the rectangu
Alex787 [66]
SA = 2lw + 2lh + 2hw

SA = 2(15)(2) + 2(15)(6) + 2(6)(2)

SA = 60 + 180 + 24

SA = 264
3 0
3 years ago
In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.
katrin [286]

Answer:

q

Step-by-step explanation:

6 0
2 years ago
Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc
aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

E(X)=\sum x_i p_i

where

x_i are all the possible values that the variable X can take

p_i is the probability that X=x_i

Therefore in this problem, the expected value of MIguel's score is given by:

E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

E(X)=4.2

- Instead, if the long hit fails, the expected value of X is

E(X)=5.4

Here we also know that the probability of a successfull long hit is

p(L)=0.4

Which means that the probabilty of an unsuccessfull long hit is

p(L^c)=1-p(L)=1-0.4=0.6

Therefore, the expected value of X if Miguel chooses the long hit approach is:

E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92

In part 1) of the problem, we saw that the expected value for the short hit was instead

E(X)=4.55

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)
olga_2 [115]

Answer:

-36

Step-by-step explanation:

-48+12=-36

6 0
3 years ago
Read 2 more answers
What is the answer to this
photoshop1234 [79]

Answer:

true

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A space shuttle orbits Earth one time in 90 minutes. How many times does orbit earth in six hours?
    15·2 answers
  • What's my first step?
    9·1 answer
  • An MP3 player can hold 350 hours of music. Each song on an MP3 player is about 2.5 minutes in lenght. Abut how many songs can th
    7·2 answers
  • ana saw some kitten and baby chicks for sale when she went to the pet store. altogether she counted 16 heads and 46 legs. how ma
    15·1 answer
  • Please help asap 25 pts
    6·1 answer
  • What is the answer for 40÷1+3-(3×7)+7-5
    10·2 answers
  • A container holds 2/3 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much
    5·2 answers
  • the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, fin
    6·2 answers
  • 1. what two things need to be true in order to add/subtract two radicals ?
    10·1 answer
  • can someone please help answer this, thank you, will give brainliest once i can, just please no spam answers, thank you!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!