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
saveliy_v [14]
3 years ago
15

If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2​

Mathematics
1 answer:
Elza [17]3 years ago
4 0

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB =  c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q =  7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

=  49/9 - 3

= 49/4 -  27/9

= 22/9.

You might be interested in
A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile . The height of the
SIZIF [17.4K]

Answer:

12.5 in²

Step-by-step explanation:

Given:

Height of tile = 2.5 in

Base of tile = 2*height of tile = 2*2.5 = 5 in

Length of other side of tile = 2.5 in

Required:

Area of the tile

SOLUTION:

Area of the tile = area of parallelogram

All we need to calculate the area of the tile, is the base and the height.

Area of parallelogram = base × height

Area of tile = 5 × 2.5 = 12.5 in²

5 0
3 years ago
1/3(6x-15)=1/2(10x-4) solve for x
Tatiana [17]

Simplify 1/3(6x - 15) to 6x - 15/3

6x - 15/3 = 1/2(10x - 4)

Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2(5x - 2)/2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify -5 + 2 to -3

-3 = 3x

Divide both sides by 3

- 1 = x

Switch sides

<u>x = -1</u>

8 0
3 years ago
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 48 specimens and counts the number of
baherus [9]

Answer: The open interval would be (31.4,42.5).

Step-by-step explanation:

Since we have given that

mean = 36.9

Standard deviation = 16.5

n = 48

At 98% confidence interval, z = 2.33

So, Interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=36.9\pm 2.33\dfrac{16.5}{\sqrt{48}}\\\\=36.9\pm 5.549\\\\=(36.9-5.5,36.9+5.6\\\\=(31.4,42.5)

Hence, the open interval would be (31.4,42.5).

5 0
3 years ago
Please help asap 25 pts
hjlf
Correct anser is c just let me kno if you need more answers
5 0
3 years ago
Read 2 more answers
Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.
jenyasd209 [6]

Answer:

y = -2x + 1

Step-by-step explanation:

First, find the slope with rise/run (y2 - y1) / (x2 - x1)

We can use the points (-1, 3) and (0, 1)

Plug in the points:

(1 - 3) / (0 + 1)

-2/1

= -2

The y-intercept is (0, 1) because that is the point where the line intercepts the y axis. So, we can plug in the slope and y-intercept into the equation:

y = mx + b

y = -2x + 1

8 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the function
    6·1 answer
  • C(n)=−6+5(n−1) find the 8th term in the sequence
    6·1 answer
  • Slope-intercept form
    12·2 answers
  • Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n
    10·1 answer
  • What is the side length of a cube with a volume of 166 yd^3
    12·1 answer
  • Help!! It’s much appreciated in this time
    6·1 answer
  • The sum of y2 and 5y2
    15·2 answers
  • Jon scored 13 points during the first have of the game. What was his points per game?
    15·1 answer
  • A bakery did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
    11·1 answer
  • jorden linvested $800 in a savings account. The intest rate id 6%per. Find the simple intrest earned in 3 years. then find the t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!