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
Lina20 [59]
2 years ago
12

Find the equation of the axis of symmetry for this function.

Mathematics
1 answer:
nalin [4]2 years ago
3 0

Answer:

x = 1

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the equation of the axis of symmetry is

x = - \frac{b}{2a}

f(x) = 4x² - 8x + 5 ← is in standard form

with a = 4 and b = - 8 , then equation of axis of symmetry is

x = - \frac{-8}{8} = 1

You might be interested in
Bridgette measured an Italian restaurant and made a scale drawing. The scale of the drawing was 8 millimeters: 5 meters. The res
Goshia [24]

Answer:

The kitchen drawing is 48 millimeters long.

7 0
2 years ago
What is the slope of the following line?
serg [7]
U use y=mx+b to find the slope, and the answer would be m=-3
8 0
2 years ago
What is the perimeter of a triangle with the given side lengths? s1 = x – 3 ft s2 = x 2 ft s3 = x 4 ft
choli [55]
The perimeter of the triangle with those given lengths is x7-3
4 0
3 years ago
Melissa sees a lighthouse from her sailboat. She knows the height of the lighthouse is 154 feet. She uses a measuring device and
Alex_Xolod [135]

Answer:

219.9  feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry:

tan 35 = opposite / adjacent side

= 154/x

x =  154 / tan35

= 219.93

6 0
3 years ago
Read 2 more answers
The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this function has the form L(t) =
Dafna1 [17]

Answer:

a) L'(t) = 34.416*e^(-0.18*t)

b) L'(0) = 34 cm/yr , L'(1) =29 cm/yr , L'(6) =12 cm/yr

c) t = 10 year                                          

Step-by-step explanation:

Given:

- The length of fish grows with time. It is modeled by the relation:

                                   L(t) = 200*(1-0.956*e^(-0.18*t))

Where,

L: Is length in centimeter of a fist

t: Is the age of the fish in years.

Find:

(a) Find the rate of change of the length as a function of time

(b) In this part, give you answer to the nearest unit. At what rate is the fish growing at age: t = 0 , t = 1, t = 6

c) When will the fish be growing at a rate of 6 cm/yr? (nearest unit)

Solution:

- The rate of change of length of a fish as it ages each year  can be evaluated by taking a derivative of the Length L(t) function with respect to x. As follows:

                             dL(t)/dt = d(200*(1-0.956*e^(-0.18*t))) / dt

                             dL(t)/dt = 34.416*e^(-0.18*t)

- Then use the above relation to compute:

                            L'(t) = 34.416*e^(-0.18*t)

                            L'(0) = 34.416*e^(-0.18*0) = 34 cm/yr

                            L'(1) = 34.416*e^(-0.18*1) = 29 cm/yr

                            L'(6) = 34.416*e^(-0.18*6) = 12 cm/yr

- Next, again use the derived L'(t) to determine the year when fish is growing at a rate of 6 cm/yr:

                             6 cm/yr = 34.416*e^(-0.18*t)

                             e^(0.18*t) = 34.416 / 6

                             0.18*t = Ln(34.416/6)

                             t = Ln(34.416/6) / 0.18

                             t = 10 year

7 0
3 years ago
Other questions:
  • WILL MARK BRAINLIEST!!!
    10·1 answer
  • What does x equal in this problem?
    5·2 answers
  • I really need help!!! It would mean a lot if someone could help me.
    15·2 answers
  • 0.78 =? as a simplified fraction?
    10·1 answer
  • By how much will the value of the number
    13·1 answer
  • Find the angle of rotation of triangle XYZ about the point P.​
    5·1 answer
  • A dilation produces a smaller figure. Which is a possible scale factor?
    10·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    7·1 answer
  • Please need help answer
    6·1 answer
  • Need help ...,,.....,,........
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!