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
Tcecarenko [31]
4 years ago
12

What are the vertex and axis of symmetry of the parabola y=3x^2-24x+38?

Mathematics
1 answer:
taurus [48]4 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex which is also the axis of symmetry is

x_{vertex} = - \frac{b}{2a}

y = 3x² - 24x + 38 is in standard form

with a = 3, b = - 24 and c = 38, hence

x_{vertex} = - \frac{-24}{6} = 4

Substitute x = 4 into the equation for corresponding y- coordinate

y = 3(4)² - 24(4) + 38 = 48 - 96 + 38 = - 10

vertex = (4, - 10)

equation of axis of symmetry is x = 4



You might be interested in
A department store is having a sale of 20% off of all kitchen appliances what is the sale price for a $250 microwave?
ikadub [295]

Answer:

300 dollars

Step-by-step explanation:

250 x 0.2= 50

250 + 50=300

7 0
3 years ago
Read 2 more answers
Since he's made of metal, Moby weighs a lot. In fact, Tim's weight is only 4 percent of Moby's weight. If Tim weighs 50 kg, how
Ivanshal [37]

Answer:

Moby weighs 1250Kgs

Step-by-step explanation:

Tim is 4% of Moby so

T =4%m

if T is for Tim and Tim weighs 50kgs then

50=4%m

100/4=25

25*50=1250

M = 1250Kgs

8 0
3 years ago
A balloon is released from a height of 10 feet. The balloon climbs an additional 70% of its previous height as each minute passe
Ainat [17]
The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
3 0
3 years ago
Read 2 more answers
Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is o
muminat
2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.
4 0
3 years ago
Find the measure of the indicated angle that makes lines u and v parallel.
bulgar [2K]

Answer:

1. 135°

2. 114°

3. 118°

4. 81°

Step-by-step explanation:

Let "x" represent the measure of the indicated angle in each problem.

1. x = 135° (corresponding angles theorem)

2. x = 180° - 66° (same-side interior angles theorem)

x = 114°

3. x = 118° (alternate interior angles theorem)

4. x = 81° (alternate exterior angles theorem)

6 0
3 years ago
Other questions:
  • Factor completely, then place the answer in the proper location on the grid. a3 - b3
    7·2 answers
  • Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 seconds? Use repeated addition to sol
    8·1 answer
  • BRAINLIEST! j+15 is an ____ expression, because____
    11·1 answer
  • Marcus works as a salesman at a car dealership. He is paid a base salary of $1,445.74 each month, and he receives a commission o
    10·1 answer
  • "three food trucks are set up at points a, b, and c. each of the three trucks is the same distance from the food distributor. at
    14·1 answer
  • Find the ratio of a:b if it is given that a+2b/11= b/3<br><br> please answer thanks!
    7·2 answers
  • Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest.
    15·1 answer
  • Determine the area of the shaded region to the<br> nearest integer.
    6·1 answer
  • I dont know the answer
    6·1 answer
  • If 4 calculators cost $79.20 how much would 9 calculators cost​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!