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
DanielleElmas [232]
2 years ago
14

The zeroes of the polynomial f(x) = x^2+x+3/4 are​

Mathematics
2 answers:
matrenka [14]2 years ago
6 0

Step-by-step explanation:

f(x) = x² + x + 3/4

in general, such a quadratic function is defined as

f(x) = a×x² + b×x + c

the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 1

c = 3/4

x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =

= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =

= (-1 ± sqrt(2)i)/2

x1 = (-1 + sqrt(2)i) / 2

x2 = (-1 - sqrt(2)i) / 2

remember, i = sqrt(-1)

f(x) has no 0 results for x = real numbers.

for the solution we need to use imaginary numbers.

jeka942 years ago
4 0

Answer:

  • No real zeros

Step-by-step explanation:

<u>I'll solve it by completing the square:</u>

f(x) = x² + x + 3/4 =

        x² + 2*(1/2)x + (1/2)² - (1/2)² + 3/4 =

        (x + 1/2)² - 1/4 + 3/4 =

        (x + 1/2)² + 1/2

We got the expression, which is greater than zero for any value of x. It means the graph has no intersection with the x-axis, and there are no real zero's.

You might be interested in
The Mitchells are renting a boat for the day. It costs $100, plus $20 for each hour. They have to pay for a whole hour even if t
lys-0071 [83]

Your answer would be C.

Step-by-step explanation:

250 dollars. 250-100= 150. 150/20 equls 7.5. 7.5 will round to 8. It iwll be 8 hours hey will have to pay for.

7 0
3 years ago
The point (2,-4) is on the line given by which equation below?
kykrilka [37]

Answer:

C ) y = -2x

Step-by-step explanation:

(2, -4)

y = -2x

subsitute x for the value of x

y = -2(2)

-2 × 2 = -4

y = -4

so

the equation for the point (2, -4) is

y = -2x

4 0
3 years ago
There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
sasho [114]

Answer:

18

Step-by-step explanation:

0.25*75 = 18\\ (must round down for population)

8 0
2 years ago
store A offers successive discounts of 10% one week and 20% the second week. store B offers a one-time discount of 25% the secon
11111nata11111 [884]

The store which offers the greater discount is store B.

<h3>Discount</h3>

Store A:

First week = 10%

= 10/100

= 0.1

Second week = 20%

= 20/100

= 0.2

Total discount = (0.1 + 0.2) / 2

= 0.15

Store B:

25%

= 25/100

= 0.25

Therefore, the store which offers the greater discount is store B.

Learn more about discount:

brainly.com/question/7459025

#SPJ1

7 0
1 year ago
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total
____ [38]

Answer:

Kyle’s fixed monthly salary in dollars is $1800

Step-by-step explanation:

let a be the fixed monthly salary

let b% represent the fixed percentage of sales

a+(b%*15000)=2550

a+(b%*25000)=3050

a+(b/100*15000)=2550

a+150b=2550

a+(b/100*25000)=3050

a+250b=3050

now we have

a+150b=2550

a+250b=3050

let subtract a+150b=2550 from a+250b=3050

100b=500

b=500/100=5%

then a+(5%*15000)=2550

      a+750=2550

      a=2550-750=$1800

8 0
3 years ago
Other questions:
  • How do I do this exercise?
    15·1 answer
  • You sellBoth cookies and bread at a farmer’s market every Sunday you sell cookies go $5 a dozen and the bread for $4 a loaf your
    14·1 answer
  • My last question, please help?
    13·1 answer
  • A bicycle is traveling at 70 miles per hour how many feet will it cover in 25 seconds round your answer to the nearest tenth of
    9·1 answer
  • A line passes through the points (-4,-8) and (6,10). Write an equation that represents a line parallel to this line.
    11·1 answer
  • What is 3/4. ÷ 1/6 ​
    7·2 answers
  • Please help me with this.
    8·1 answer
  • Find the measure of &lt;JKL =63°​
    13·1 answer
  • If you roll two fair dice(one black die and one white die) in how many ways can you obtain a 2 on the black die?
    14·1 answer
  • 18-3(4.5-5) ÷ 10-2(3·2-16) =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!