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
wel
3 years ago
5

Adratic Formula

Mathematics
2 answers:
anastassius [24]3 years ago
7 0

Answer:

There are no real solutions for the equation x^{2}+5x+7.

Step-by-step explanation:

For a quadratic equation given by ax^{2}+bx+c=0

The number of real solutions are determined by discriminant D.

D=b^{2}-4ac

if D>0 then the roots are real and distinct

if D=0 then roots are real and equal

if D<0 then real roots do not exist.

In this case,

a=1 b=5 and c=7

D=b^{2}-4ac=5^{2}-4\times1\times7=-3 < 0

Since D<0, there are no real solutions.

maw [93]3 years ago
5 0

Answer:

Step-by-step explanation:

discriminant=5²-4×1×7=25-28=-3<0

no real number solution.

You might be interested in
Plz help i suck art math
True [87]

um 600?? I'm sorry if that's wrong

5 0
3 years ago
Read 2 more answers
Which fraction is bigger 7/8 or 14/15 using lcm
Sever21 [200]
Between 7/8 and 14/15 the bigger value is the 7/8. When comparing to fractions you need look on the denominator of the fractions the smaller the denominator the larger the fraction. Thank you for posting your question here. Hope it helps.
4 0
3 years ago
High school math. Please answer everything in picture. Thank you................................................................
vaieri [72.5K]

Answer:

3) Cubic polynomial with four terms.

4) Linear polynomial with two terms.

5) The zeros are: (1-sqrt(5))/2=-0.618, 1, and (1+sqrt(5))/2=1.618

The y-intercept is y=1

Please, see the attached graph.

6) The zeros are: -1.272, 1.272

The y-intercept is y=1

Please, see the attached graph.

7) Please, see the attached files.

8) Please, see the attached files.

9) Please, see the attached files.

10) Please, see the attached files.


Step-by-step explanation:

3) Degree is the maximun exponent that the variable "x" has, in this case 3, then this is a cubic polynomial, and it has four terms (6x^3, -7x^2, -10x, and -8).


4) Degree is the maximun exponent that the variable "x" has, in this case 1 (x=x^1), then this is a linear polynomial, and it has two terms (-10x, and 10).


5) f(x)=x^3-2x^2+1

Zeros:

f(x)=0→x^3-2x^2+1=0

Factoring:

    x^3-2x^2+0x+1  

 ! 1      -2       0    1

<u>1 !____1____-1_-1</u>

   1      -1        -1   0

   1x^2-1x      -1 = x^2-x-1

x^3-2x^2+1=0→(x-1)(x^2-x-1)=0

The zeros are:

x-1=0→x-1+1=0+1→x1=1

x^2-x-1=0

ax^2+bx+c=0; a=1, b=-1, c=-1

x=(-b+-sqrt(b^2-4ac))/(2a)

x=(-(-1)+-sqrt((-1)^2-4(1)(-1))/(2(1))

x=(1+-sqrt(1+4))/2

x2=(1+-sqrt(5))/2=(1+2.236067978)/2=3.236067978/2=1.618033989=1.618

x=(1-sqrt(5))/2=(1-2.236067978)/2=-1.236067978/2=-0.618033989=-0.618

x3=(1+sqrt(5))/2

The zeros are: (1-sqrt(5))/2=-0.618, 1, and (1+sqrt(5))/2=1.618  

The y-intercept is:

x=0→f(0)=(0)^3-2(0)^2+1→f(0)=0-2(0)+1→f(0)=0-0+1→f(0)=1

The y-intercept is y=1.


6) f(x)=-x^4+x^2+1

Zeros:

f(x)=0→-x^4+x^2+1=0

Factoring: Multiplyng both sides of the equation by -1:

(-1)(-x^4+x^2+1)=(-1)(0)

x^4-x^2-1=0

(x^2)^2-(x^2)-1=0

Changing x^2 by t:

t^2-t-1=0

at^2+bt+c=0; a=1, b=-1, c=-1

t=(-b+-sqrt(b^2-4ac))/(2a)

t=(-(-1)+-sqrt((-1)^2-4(1)(-1))/(2(1))

t=(1+-sqrt(1+4))/2

t1=(1+-sqrt(5))/2=(1+2.236067978)/2=3.236067978/2=1.618033989=1.618

t2=(1-sqrt(5))/2=(1-2.236067978)/2=-1.236067978/2=-0.618033989=-0.618

t^2-t+1=0→(t-1.618)(t-(-0.618))=0→(t-1.618)(t+0.618)=0

and t=x^2, then:

(x^2-1.618)(x^2+0.618)=0

Factoring the first parentheses using a^2-b^2=(a+b)(a-b), with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=1.618→sqrt(b^2)=sqrt(1.618)→b=1.272

(x^2-1.618)(x^2+0.618)=0→(x+1.272)(x-1.272)(x^2+0.618)=0

The zeros are:

x+1.272=0→x+1.272-1.272=0-1.272→x1=-1.272

x-1.272=0→x-1.272+1.272=0+1.272→x2=1.272

The zeros are: -1.272, and 1.272  

The y-intercept is:

x=0→f(0)=-(0)^4+(0)^2+1→f(0)=-0+0+1→f(0)=1

The y-intercept is y=1.

3 0
3 years ago
Given: f(x) = 3 - x; g(x) = -2x Find g[f(-1)]. -8 -22 8
Norma-Jean [14]

Answer:

-8

Step-by-step explanation:

I looked it up on   ma th way   like the previous user said and got -8.

8 0
3 years ago
I need help with this geometry question asap!
guajiro [1.7K]

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

  • The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
  • The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
  • The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
  • The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

#SPJ1

6 0
2 years ago
Other questions:
  • What are the zero(s) of the function f(x) = the quantity of 4 x squared minus 36 x, all over x minus 9?
    12·2 answers
  • Martin can type 240 work in 4 minutes. At this rate,how many words can he type in 10 minutes?
    6·2 answers
  • 3x=105???<br> helppp please
    15·1 answer
  • What is the distance between -2/3 and 4/3 on a number line?
    15·1 answer
  • Explain why a drop in temperature would lead to adding a negative integer.
    13·1 answer
  • How to show the work for x4-y4
    8·1 answer
  • An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.
    13·2 answers
  • PLS help me :)))) thx
    13·2 answers
  • The total cost to attend the university Daniel wants to attend is going to be $12,000 for the first year.
    13·1 answer
  • The length of a rectangle is
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!