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
Makovka662 [10]
3 years ago
14

What is the vertex of g(x) = –3x2 + 18x + 2?

Mathematics
2 answers:
WITCHER [35]3 years ago
5 0

Answer:

The vertex of g(x) is (3;29)

Step-by-step explanation:

The coordinates of the vertex for a cuadratic equation are defined as:

Xv = -b/2a

Yv = f(Xv)

Where b, and a correspond to the coefficients of the linear and cuadratic  terms respectively. In this particular case f(x) is represented by g(x).  

Then by replacing the coefficients a and b in the x-coordinate we obtain:

Xv = -18/ (2.-3) = -18 / -6 = 3

And by replacing Xv in g(x):

Yv = g(Xv) = -3(3)^2 + 18(3) + 2  

Yv = -27 + 54 + 2 = 29

Thus the vextex of g(x) is (3:29)

svet-max [94.6K]3 years ago
4 0
G(x)=1
-3x2+18x+2
-6+18+2
6+2
8
You might be interested in
PLEASE HELP ME!! THANK YOU!!
Tems11 [23]

9514 1404 393

Answer:

  [-4,3]

Step-by-step explanation:

The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.

The left dot is at x=-4; the right dot is at x=3, so the domain is ...

  [-4,3]

4 0
2 years ago
In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3).
allsm [11]
52, i am so sorry this is probably incorrect
4 0
3 years ago
Read 2 more answers
Simplify sqrt 244x + sqrt 36x - sqrt 25x
Morgarella [4.7K]
First simplify the square roots: 2 \sqrt{61x}+6 \sqrt{x}-5 \sqrt{x}
Then simplify the last two terms: 2 \sqrt{61x}+\sqrt{x}
Since 61 is prime, you can't take a rational root out of it. 
8 0
3 years ago
Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

5 0
3 years ago
If you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll at least a 2?
Finger [1]

Step-by-step explanation:

Flipping a tails and rolling at least a tail are 2 independent events: they don't affect each other. So, to get the probability of both happening, we just need to multiply the probability of one by the probability of the other. he probability of rolling at least a 2 is 5/6.

4 0
2 years ago
Other questions:
  • If getting $1 for every correct answer on this test makes you study harder for the next test, then being given $1 is a form of _
    14·1 answer
  • A store sells toaster ovenstoaster ovens for ​$4646 ​each, retail price. The wholesale cost to stock the ovensovens is $ 28$28 e
    11·1 answer
  • HELP I WILL MARK YOU AS A BRAINLIEST I KNOW IM SO DUMB!!
    10·2 answers
  • When using a one-tailed test and a sample size of 24, what is the probability of a value being to the left of a number that has
    5·1 answer
  • The height of a parallelogram is 10ft more than its base<br> The area is 1200ft<br> Solve b and h
    12·1 answer
  • Angles - Question attached maths
    10·1 answer
  • F(x)=x^3-6/x find the following<br> F(-2)
    11·2 answers
  • Can someone help with this?
    15·1 answer
  • A tablet sells for $280 at both jades craft corner and arties art shack. All items at jades craft corner are on sale for 25% off
    11·1 answer
  • Here are the first five terms of a quadratic sequence. 9 24 47 78 117 Find an expression, in terms of n, for the nth term of thi
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!