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
snow_tiger [21]
4 years ago
11

The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?

Mathematics
1 answer:
s2008m [1.1K]4 years ago
5 0

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad  \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)}  \right)\implies (4~~,~~8-48)\implies (4~~,~-40)

You might be interested in
The size of a TV is measured by its diagonal. You want to buy a TV that has a 32
ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51

Taking square root on both sides

\sqrt{b^2}=\sqrt{777.51}\\b=27.88

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

7 0
3 years ago
Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
fenix001 [56]

Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

5 0
3 years ago
32+44 distributive property
n200080 [17]

Answer: 76

Step-by-step explanation:

30 + 40 = 70

4 + 2 = 6

70 + 6 = 76

:)

5 0
3 years ago
How do u solve this problem
Feliz [49]
It is a 3:1 ratio of male car drivers to female truck drivers
4 0
4 years ago
Find quadratic polynomial which best fits the function f(x)=e^x and x=0, in the sense that g(0)= f(0), and g'(0) = f'(0), and g"
Dmitriy789 [7]
Let g(x)=ax^2+bx+c. Then

\begin{cases}g(0)=c\\g'(0)=b\\g''(0)=2a\end{cases}

Meanwhile, since f(x)=e^x, you have f(0)=f'(0)=f''(0)=e^0=1.

It follows that a=\dfrac12, b=1, and c=1, so that the quadratic fit for f(x)=e^x that satisfies the given points is

g(x)=\dfrac12x^2+x+1

Note that this is just the second-order Taylor polynomial for e^x about x=0.
3 0
4 years ago
Other questions:
  • The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
    6·1 answer
  • I need help ASAP I will give brainlist!
    14·2 answers
  • What’s the slope for 2,1 and 4,5
    5·1 answer
  • A package of dental floss contains 25 m of floss. How many yards of floss are in the package? If a dental hygienist uses about 1
    5·1 answer
  • What number must you add to complete the square x^2+4x=12
    15·2 answers
  • A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
    9·1 answer
  • Reflect points please help me
    5·2 answers
  • A hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour
    12·1 answer
  • What is the slope of the line shown on the graph to the​ right?
    14·1 answer
  • A coffee shop sells coffee, tea and pastries. The owner analysed her profits from the shop this week and found that
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!