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
AlexFokin [52]
2 years ago
6

Answer my questions plz help

Mathematics
1 answer:
coldgirl [10]2 years ago
3 0

9514 1404 393

Answer:

  • a = -2/3, b = 8, c = -24
  • y-intercept: (0, -24)
  • x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
  • x = 6
  • DOWN
  • Max: (6, 0)
  • Vertex: (6, 0)
  • Domain: {x | x ∈ ℝ}
  • Range: {x | x ≤ 0}

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

  • a = -2/3
  • b = 8
  • c = -24

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

You might be interested in
Miss penny inherits $520 She decides to save some of the money and spend the rest The ratio of savings to spending money is 9:4
Romashka-Z-Leto [24]

Answer:

savings = $360

spending = $160.

Step-by-step explanation:

saving : spending

  9       :      4

total amount = $520

add the two parts in the ratio(9+4) to get the total parts.

9 + 4 = 13parts .   so, 13 parts = 520.

what about 9 and 4?

13 = 520

9 = ?

9 × 520/13 = 360

4 × 520/13 = 160.

hope this helps.

8 0
3 years ago
Read 2 more answers
The quotient of a number and 15 is no greater than 450. what are the possible values for the number?
BartSMP [9]
Any numbers between 15 and 450 are possible values.


4 0
3 years ago
6+(-9)= I want a answer<br>​
choli [55]
It would be -3. since they’re different signs you would subtract instead of doing addition. you also would us the greater numbers sign, which, in this case, -9 is the greater number so the answers sign would be negative.
3 0
3 years ago
Read 2 more answers
If sqaure root x = 9, then x is between _____. 15 and 20 2 and 3 80 and 90 4 and 5
kolbaska11 [484]
If sqrt x = 9 then x = 9*9 = 81

Answer is  between 80 and 90.
3 0
3 years ago
Read 2 more answers
Match the logarithmic functions with their corresponding x-values
cricket20 [7]
We have the following functions:
 log2x=5
 log10x=3
 log4x=2
 log3x=1
 log5x=4
 Let's rewrite each function to solve for x:
 x=2^5=32
 x=10^3=1000
 x=4^2=16
 x=3^1=3
 x=5^4=625
 Answer:
 Matching each function with the solution we have:
 log2x=5 ----------->32
 log10x=3---------->1000
 log4x=2------------>16 
 log5x=4------------>625
3 0
3 years ago
Other questions:
  • Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which
    10·1 answer
  • The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th
    7·1 answer
  • Which of the following functions best describes this graph
    6·2 answers
  • Tameron is driving 540 miles to college. If he drives at an average rate of 45 miles per hour, how many hours will it take him t
    9·1 answer
  • What is answer to 48+54=_(8+9)?​
    14·1 answer
  • What is the area? Please I need help ​
    8·2 answers
  • Help meh for brainlist
    5·1 answer
  • Confused on this a bit. No explanation needed
    15·2 answers
  • 13 = 2m + 5<br><br> whats m?
    6·2 answers
  • 3) T'challa makes $55 an hour and works 30 hours a week. He loses 20% of his paycheck to
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!