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
user100 [1]
3 years ago
6

Functions f(x) and g(x) are shown below:

Mathematics
2 answers:
laila [671]3 years ago
7 0
 f` ( x ) = 6 x + 12
       6 x + 12 = 0       6 x = - 12       x = - 2       f ( - 2 ) 0 12 - 24 + 16 = 4       f ( x ) min = 4       g` ( x ) = 4 cos (  2 x - π )       4 cos ( 2 x - π ) = 0       cos ( 2 x - π ) = 0       2 x - π = 3π / 2       2 x = 5π /2       x = 5π/4       g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2       g ( x ) min = 2 
mestny [16]3 years ago
7 0

Answer:

g(x) has the smallest minimum y-value

Step-by-step explanation:

f(x) is the equation of a parabola

The general form of a parabola is ax² + bx + c, if a is positive, the parabola has a minimum. The minimum is at the vertex, the x-coordinate of the vertex is calculated as follows: -b/2a.  For this case, x =-12/(2*3) = -2, which corresponds to the following function value: 3(-2)² + 12(-2) + 16 = 4

  • minimum value of f(x) = 4

g(x) is the sine function

The sine function is a periodic function which oscillates between -1 and 1

  • minimum value of g(x) = -1
You might be interested in
Draw a model... write an equation and solve....this is the directions for a  4th grade math homework problem....Help?????
padilas [110]
Boxers = b
Spaniels = s

b=s*4
s+b=30

Now you have two equations - one that tells you the number of boxers in relation to spaniels and one telling you the number of each breed in relation to the total number of dogs. Solve using substitution.

s+(4*s)=30 \\ 4s+s=30 \\ 5s=30 \\ s=6

There are 6 spaniels.
6 0
3 years ago
Petra jogs 3 miles in 30 minutes at this rate how long would it take a jog 10 miles​
bazaltina [42]

Answer:

100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

3 miles in 30 minutes means 1 mile in 10 minutes

10 miles takes 100 minutes or 1 hour and 40 minutes.

7 0
3 years ago
Read 2 more answers
Multiply: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B8n%5E%7B2%7D%20%7D%7Bm%5E%7B2%7D-16%20%7D" id="TexFormula1" title="\f
Mkey [24]

9514 1404 393

Answer:

  4mn/(3m+12)

Step-by-step explanation:

It is often helpful to factor expressions so that common factors can cancel.

  \dfrac{8n^2}{m^2-16}\times\dfrac{m^2-4m}{6n}=\dfrac{8mn^2(m-4)}{6n(m-4)(m+4)}=\dfrac{4mn}{3(m+4)}\\\\=\boxed{\dfrac{4mn}{3m+12}}

3 0
2 years ago
B. How many hundreds are in 4362? How many<br> whole hundreds?
zhannawk [14.2K]

Answer:

3

Step-by-step explanation:

4362

3= hundreds place value

So that means there are 3 whole hundreds

6 0
2 years ago
Read 2 more answers
State of the given functions are inverses. Part 3. NO LINKS!!!!​
Effectus [21]

Answer:

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>f</u><u>u</u><u>n</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>a</u><u>r</u><u>e</u><u> </u><u>n</u><u>o</u><u>t</u><u> </u><u>i</u><u>n</u><u>v</u><u>e</u><u>r</u><u>s</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>e</u><u>a</u><u>c</u><u>h</u><u> </u><u>o</u><u>t</u><u>h</u><u>e</u><u>r</u><u>.</u>

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

<u>Given function are</u><u> inverse of each other.</u>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Candy buys 20 ounces of mixed nuts. She puts an equal number of ounces in each of three bags how many ounces of mixers will be i
    7·1 answer
  • Calculating probability.
    14·1 answer
  • Find the perimeter in feet and in yards
    11·1 answer
  • Which number sentence is true?​
    8·1 answer
  • Jacob brought 6 3/4 carrot cakes to share with the 26 students in his class did Jacob bring enough for each students to have 1/4
    8·1 answer
  • That contains the point
    6·1 answer
  • The entries in the register of a bank account are shown in the table.
    11·2 answers
  • Solve UW. how do I get the answer?
    11·2 answers
  • I need some help please?!?
    7·2 answers
  • Given that 24w = 14ten .Find the unknown base​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!