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
Semenov [28]
3 years ago
12

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

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

(3,29)

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is x=\frac{-b}{2a}

We have the function g(x)=-3x^2+18x+2

From this function, we can find that

a=-3\\b=18\\c=2

We can plug in our know values into the formula to get

x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3

Then we can plug in our x-value to find the y-value of the vertex

g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29

This means that the vertex would be (3,29)

You might be interested in
Mr. Smith is unhappy with the 2 foot concrete walkway around the edge of the pool. He decides to
nirvana33 [79]
Given that the total area of the walkway and the pool is w²+17w+66, and the width w, will be found as follows:
A=length×width
A=w²+17w+66
to get the new width we need to factorize the above quadratic form
A=w²+17w+66
=w²+11w+6w+66
=w(w+11)+6(w+11)
=(w+11)(w+6)
From the answer, the width=6 units, length=11 units
5 0
3 years ago
Offering 20 points and Brainliest! What's the answers to these two questions?
anzhelika [568]

Answer:

21:A 22:D

Step-by-step explanation:

hope that helps

8 0
3 years ago
Plz help me it’s about apex and I just need the answer bc I don’t understand
trasher [3.6K]
The variable can be g for games being bowled and the expression is 25g
7 0
3 years ago
1. What are the major forces that drive movements in the atmosphere?
Kruka [31]
1. Wind speed and direction respond to pressure gradient forces that exist between high and low pressure areas. In the Northern Hemisphere and because of the rotation of the earth, winds circulate in a clockwise fashion around areas of high pressure and in a counter-clockwise manner around regions of lower pressure. Air pressure decreases relatively slowly with height in regions dominated by warm air and relatively rapidly with height in areas where cold air prevails. As a result, wind patterns in the upper atmosphere tend to flow in an oscillating manner around major pockets of warm and cold air. 
<span>Horizontal pressure gradient force- results from the high and low pressure systems (highs, lows, troughs and ridges) in the atmosphere. Air tends to move air from regions of high pressure to regions of low pressure.
</span>Friction- the drag on the air by the earth's surface (e.g., plants, trees, buildings, mountains, etc.).

Friction always acts opposite to air motion

<span>Coriolis Force<span>Coriolis force- the force that results from Earth's rotation.The Coriolis force solely results from living on a rotating object -- Earth. It acts only on objects moving with respect to the earth's surfaceCentrifugal force- the tendency for a body to resist a change in direction.
<span>
</span></span></span>2. The amount of sunlight striking an air mass influences its temperature. As the air heats up, it rises in the air column and begins sucking cool air in behind it. This causes the winds that drive much of the planet’s weather systems.

The weather is also affected by the local geography. For example, mountains often block winds and rainfall. This causes one side of the mountain to have very high amounts of rainfall and lush vegetation, while the far side of the mountains remain very dry and desolate.

The air pressure in an area can impede or encourage the flow of weather systems. In general, air masses flow from areas of high pressure towards areas of low pressure. Usually, storms occur in areas of extremely low pressure.

The amount of water in the atmosphere affects the local humidity and rainfall. Air masses that move across bodies of water often draw water up into the air before depositing it somewhere else as rain, snow or sleet

6 0
3 years ago
So like my my claim is “Are we too dependent on technology” And now I have to write my first paragraph without giving the clue a
aleksklad [387]
Perhaps you could just outline the topic lightly but try your best not to give away your topic idea. In this case talk about technology but don't talk about the dependency of technology, for the first paragraph as mentioned in your title text and then in your second paragraph you could talk about the dependency of technology.
5 0
3 years ago
Other questions:
  • 2. Which answer is equivalent to "y less than 2 times 7"?
    12·1 answer
  • What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3?
    12·2 answers
  • 2x^3+2x^2-19x+20=0 find the roots of the polynomial equation
    5·1 answer
  • What are the zeros of the function y = 2x2 + 5x+2 ?<br> pls helppp!
    10·2 answers
  • Three instructors are comparing scores on their finals; each had 99 students. In Class A, one student got 1 point, another got 9
    12·1 answer
  • Which of the following statements is true?
    6·2 answers
  • QUIZ:
    7·1 answer
  • Which number sentence does the following number line represent A. 3+2=5 B. -3+5=2 C. 2+(-3)=5 D. 2+(-5)=-3
    10·1 answer
  • What is the solution to the inequality x/9+7greaterthanequalto10
    7·1 answer
  • 5+5 divded by 6 multiplied by 100 divded by 25 +1000 - 3456 multiplied by 60 and divded by 23 = what
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!