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
cluponka [151]
3 years ago
14

ITS TIMED PLEASE HELP​

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

f(x)=\frac{1}{2}x^{2}-4x+5

Convert to vertex form

f(x)-5=\frac{1}{2}x^{2}-4x

Factor the leading coefficient

f(x)-5=\frac{1}{2}(x^{2}-8x)

f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x-4)^{2}

f(x)=\frac{1}{2}(x-4)^{2}-3

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

You might be interested in
Jill has $1.25 in her pocket. The money is in quarters and dimes. There are a total of 8 coins. How many quarters and dimes does
erica [24]

Answer:

  • 3 quarters
  • 5 dimes

Step-by-step explanation:

Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...

  0.25q +0.10(8-q) = 1.25

  0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses

  0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80

  q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15

  the number of dimes is 8-q = 8-3 = 5.

Jill has 3 quarters and 5 dimes.

5 0
3 years ago
Read 2 more answers
Someone please help with the questions on this picture!! URGENT!!!
tia_tia [17]

Answer:

A) Independent

B) Dependent

Step-by-step explanation:

A) If we take a marble out and put the marble back, it means we have restored the sample to what it was initially and thus it doesn't affect probability of making another selection.

Thus, this is an independent event.

B) A card is taken from a deck of cards without replacement and set aside. Then after that another card is taken from the first sample, this means that the first sample size has now reduced and thus the first card taken affects the probability of the second card to be picked. Thus, this is a dependent event.

5 0
3 years ago
Assume the cost of a car is $25,000. With continuous compounding, in effect, the cost of the care will increase according to the
Masja [62]
The value of t that makes the factor e^(.032t) have the value of 2 can be found using logarithms.
  2 = e^(0.032t)
  ln(2) = ln(e^(0.032t)) = 0.032t
  t = ln(2)/0.032 ≈ 21.66

It would take 21.66 years for the cost to double.
4 0
3 years ago
X-2y=8<br> 4x+y=5<br> Solve linear systems by Multiplying
Lisa [10]
<h2> x = 2 and y = - 3</h2>

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8                        ........ (1)

and 4x + y = 5               ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2  

⇒ 8x + 2y = 10                ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8  + 10  

⇒ x - 2y + 8x + 2y = 8  + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8        

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴  x = 2 and y = - 3

4 0
3 years ago
It’s asking for X. “Find x”. I was wondering if someone could help. Thank you.
Kazeer [188]

Answer:

what are the optionnnnnn????

6 0
3 years ago
Other questions:
  • Find the volume of the sphere. <br> Either enter an exact answer in terms π or use 3.14 for π
    5·1 answer
  • SOMEONE PLEASE HELPPPP MEEEEE IDK THIS PLEASEEE ASAP
    12·2 answers
  • A painter leans a 34-ft ladder against a building. The base of the ladder is 16 ft from the building. To the nearest foot, how h
    14·2 answers
  • (4+x) divided by 12.<br><br> im stuck heree :(
    9·1 answer
  • (x - 2(x + 7) = 0 pls help​
    10·1 answer
  • if y is inversely proportional to 2x + 1 and the difference in the values of y when x= 0.5 and x= 2 is 0.9, find the value of y
    9·1 answer
  • A survey of teachers in a school found that 7% of Teachers use mobile applications for study activities what decimal number repr
    13·1 answer
  • Alma had four ants in her ant farm. She found three more ants outside and put them in the ant farm. She wanted to know how many
    11·1 answer
  • 4x + y s8<br> yz - 4x - 1
    7·1 answer
  • Why was the geometric book so sad?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!