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
lesya [120]
3 years ago
7

A quadratic equation is shown below:

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

You might be interested in
Lines sand tare perpendicular. If the slope of line sis 5, what is the slope of<br> line t?
Sveta_85 [38]

Answer:

  -1/5

Step-by-step explanation:

Perpendicular lines have slopes that are the opposite reciprocal of one another.

The slope of line t is the opposite reciprocal of the slope of line s:

  slope of t = -1/(slope of s)

  slope of t = -1/5

6 0
3 years ago
2. A complete set of a grade school uniform requires 1 3/4 meters of white cloth
Andrei [34K]

Answer:

61.25 M

Step-by-step explanation:

the question is trying to mislead you with the blue amount, you are only looking for the amount of white needed.

this means you multiply 1.75 (1 3/4) times 35 sets, getting you 61.25 M

7 0
3 years ago
Read 2 more answers
Please help me!
yan [13]

Answer:

80

Step-by-step explanation:

<u><em>A = Area of First Rectangle </em></u>

<u><em>B = Area of Second Rectangle </em></u>

<u><em>w = Width</em></u>

<u></u>

12(w)=320+B (1st Equation)

8(w) = B (2nd Equation)

w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>

12B/8 = 320 +B <u><em>(you get this)</em></u>

12B= 2560 + 8B <u><em>(Simplify)</em></u>

4B = 2560

B =640 <em><u>plug this value into the 2nd equation</u></em>

8(w) = 640

w = 80

<em>To Test This</em>

12x80 = 960

8x80 = 640

<h3>960 - 640 = 320 <u><em>Therefore the answer is correct the width is 80</em></u></h3>

<h3 />
5 0
3 years ago
45 Points- Geometry <br><br><br> HELP ME
kolbaska11 [484]
<h2>3</h2>

S<--->T

T<--->S

Same thing

<h2>4</h2>

Both sides a equivalent therefore both triangle areas are also equivalent

6 0
3 years ago
Read 2 more answers
Handsome Jack is buying a pony made of diamonds. The price of the pony is PPP dollars, and Jack also has to pay a 25\%25%25, per
Nadya [2.5K]

Answer:

<em>B: P + 0.25 P</em>

<em>D : 5/4 P</em>

Step-by-step explanation:

The price is P.

The tax is 25% of P, or 0.25P.

The total price is the price plus the tax,

P + 0.25P = P + 1/4P = 4/4P + 1/4P = 5/4P

7 0
3 years ago
Other questions:
  • What is the value of 8/36 in lowest terms?<br> A. 4/18<br> B. 1/2<br> C.2/9<br> D. 1/4
    7·1 answer
  • You buy some dining room furniture. The table costs $599.99 and 4 chairs cost $89.59/ chair. How much is your total purchase?
    11·2 answers
  • Cos³x.tan²x - cosx = ?
    6·1 answer
  • Go Math Math Homework Lesson 8.4
    15·2 answers
  • What are the solutions to the quadratic equ ton x2 – 16 = 0?
    10·1 answer
  • What is 6 plus 3 divided by two?
    15·1 answer
  • Solve question 20 (a) and (b)<br>​
    13·1 answer
  • 100 ÷ 10 • 2 • 4 ÷ 2<br> 40<br> 10<br> 0.625<br> 20
    14·1 answer
  • Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
    12·1 answer
  • Can you help me with this, please? ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!