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
Studentka2010 [4]
3 years ago
5

Which is the graph of the function f(x) = x2 + 2x + 3?

Mathematics
2 answers:
andrezito [222]3 years ago
8 0
Its the first answer on e2020 :D
blagie [28]3 years ago
5 0
Dy/dx=2x+2

So velocity will be zero when 2x+2=0, x=-1

Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.

y(-1)=1-2+3=2

So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.

And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
You might be interested in
A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circl
Tamiku [17]

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3 )²

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

4 0
2 years ago
Find inverse of f(x)=x^3-9<br>Not sure of my answer!​
Katyanochek1 [597]

as you may already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

\bf \stackrel{f(x)}{y}=x^3-9\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^3-9}\implies x+9=y^3\implies \sqrt[3]{x+9}=\stackrel{f^{-1}(x)}{y}

7 0
2 years ago
Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a
SashulF [63]
a. She used 1/10 of the spinach for a salad.

b. She used 1/2 pound of spinach for the salad.

We can solve each part of this problem by using a "fraction strip". The strip helps show a breakdown of what portion of spinach was used for each the party, family, and salad. See the attached image for a step by step example of how to multiply the fractions to find the correct portions. 

4 0
3 years ago
Read 2 more answers
Suppose that the length of a side of a cube X is uniformly distributed in the interval 9
Nastasia [14]

Answer:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

Step-by-step explanation:

Given

9 < x < 10 --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

v = x^3

For a uniform distribution, we have:

x \to U(a,b)

and

f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.

9 < x < 10 implies that:

(a,b) = (9,10)

So, we have:

f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Solve

f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Recall that:

v = x^3

Make x the subject

x = v^\frac{1}{3}

So, the cumulative density is:

F(x) = P(x < v^\frac{1}{3})

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right. becomes

f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.

The CDF is:

F(x) = \int\limits^{v^\frac{1}{3}}_9 1\  dx

Integrate

F(x) = [v]\limits^{v^\frac{1}{3}}_9

Expand

F(x) = v^\frac{1}{3} - 9

The density function of the volume F(v) is:

F(v) = F'(x)

Differentiate F(x) to give:

F(x) = v^\frac{1}{3} - 9

F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}

F'(x) = \frac{1}{3}v^{-\frac{2}{3}}

F(v) = \frac{1}{3}v^{-\frac{2}{3}}

So:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

8 0
2 years ago
A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio
Lady bird [3.3K]

Answer:

70 white and 42 striped

Step-by-step explanation:

To find this make a tee chart and do the multiples of 10 and 6 into they add up to 112. Hopefully this is correct. Have a nice day.

6 0
2 years ago
Other questions:
  • Find the number that should be added to the expression to make it a perfect square. k^2-5k
    7·1 answer
  • The class has a lizard and a frog. The lizard eats the same number of insects each day. The frog also eats the same number of in
    7·2 answers
  • What is the solution of the inequality Y+1&lt;6
    12·2 answers
  • For what value or values of b is it true that |b| = -b
    15·2 answers
  • Multiply 5 2/5 x 9 2/10 show your work.
    9·2 answers
  • Solve each of the following exponential equations using common bases:
    8·1 answer
  • DUE TOMORROW PLEASE HELP!!!!
    12·2 answers
  • Bob worked for four hours at the sporting good store and earned $8.25 per hour then he shoveled snow for two hours and earned $1
    15·1 answer
  • Round 12.5829 to the nearest tenth.
    9·1 answer
  • Answer asap!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!