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
spin [16.1K]
3 years ago
13

Please help! Thank youuuu!

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0
F(x) = 3x² + 6x - 1

The graph is a parabola open upward (a= 3>0) with a minimum.

Calculate the vertex:

x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:

y = 3x² + 6x - 1

y = 3(-1)² + 6(-1) -1

y= 3 - 6 -1 and y = - 4,

Ten the vertex (minimum) is at (-1,- 4)


You might be interested in
an amusement park charges $6 per student after a $72 fee. what is the total cost and how many students go to the park?
julia-pushkina [17]
72+6x=total cost
x=number of students
5 0
3 years ago
7
MrRissso [65]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

15=45e^{-0.05t}

\frac{15}{45}=\frac{45e^{-0.05t}}{45}

\frac{1}{3}=e^{-0.05t}

Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

Let us take natural log on both sides of equation.

\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})

Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

-0.05t\cdot (1)=\text{ln}(\frac{1}{3})

-0.05t=\text{ln}(\frac{1}{3})

t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

6 0
3 years ago
6w-y=2z, Solve for the value of w
Lerok [7]
6w-y=2z 6w=2z+y w=(2z+y):6 w=(z:3)+(y:6)
7 0
3 years ago
Read 2 more answers
I need help please anybody
erma4kov [3.2K]
Answer: area= 4.7

Area=pi*r^2=3.14*1.5=4.71=4.7 (nearest tenth)
6 0
2 years ago
Other questions:
  • One of the world's largest popcorn balls has a volume of about 268 cubic feet. what is its radius? use 3.14 for pi. round your a
    14·2 answers
  • A polygon has the vertices P(-2,6), Q(4,6), R(4,1) and S(-2,1). What is the length of side RS?
    6·1 answer
  • Nick has 189 trading cards. Kyle has 198 trading cards. Who has fewer cards ?
    12·2 answers
  • The mass of a watermelon is 1,940g more than the total mass of 8 similar peaches. If the total mass of the watermelon and
    11·1 answer
  • What real world situation models this equation y=1/20x
    14·1 answer
  • Are these answers correct if not
    7·1 answer
  • HELP ASAP PLS I HAVE A MATH EXAM AND IM DESPRATE T-T<br><br> 4/15 rounded to the nearest thousandth
    8·1 answer
  • Help, please!<br>Which table represents an arithmetic sequence?
    14·1 answer
  • What is the value of x in the figure below?
    15·1 answer
  • Help help help help help me please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!