Find the root(s) or zero(s) of the function.

Find The Root(s) Or Zero(s) Of The Function.

Answers

Answer 1

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]


Related Questions

If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).

Answers

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Is 1 3/4 closer to 1 or 2 ? Explain your answer

Answers

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

What is fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

The following image is a piece of tile from a bathroom floor. What does the bolded line represent?

A. a line
B. a line segment
C. a ray
D. a plane

Answers

The bolded line represents a line segment rather than a line or a plane.

What is a line?

A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.

What is a line segment?

This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.

Learn more about lines in: https://brainly.com/question/2696693

Answer:

The answer is B

Step-by-step explanation:

THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE

Answers

Answer:

ok

Step-by-step explanation:

ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

Study the figure and find the effort.
Please help...

Answers

Answer:

300

Step-by-step explanation:

I hope it will help you.

Help, been trying for forever

Answers

It's A and C.

A because if you multiply the numbers inside square roots , you will get exactly same ans.

C because √75 is 5√3 and if you multiply it with 2 you get 10√3. √50 is 5√2 and if you multiply it with 3 then you get 15√2.

a & c
not sure how to explain but that’s what i got
(sorry)

the newspaper reported that on the "big board," where 1.24 billion shares were traded, 1,366 stocks fell and 1,788 rose. On the NASDAQ, where 1.76 billion shares were traded, 1,587 fell and 2,068 rose. Comparing the fractions of stocks that fell to the stocks that rose, which market had the largest fraction?

Answers

Using proportions, it is found that the Big Board market had the largest fraction.

------------------------

Big board:

Total of 1366 + 1788 = 3154 stocks.Of those, 1788 rose.

The proportion that rose is:

[tex]p_B = \frac{1788}{3154} = 0.5669[/tex]

------------------------

NASDAQ:

Total of 1587 + 2068 = 3655 stocks.Of those, 2068 rose.

The proportion that rose is:

[tex]p_N = \frac{2068}{3655} = 0.5658[/tex]

[tex]p_B > p_N[/tex], thus, the Big Board market had the largest fraction.

A similar problem is given at https://brainly.com/question/19905617

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

Answers

Answer:

9

Step-by-step explanation:

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

[tex] = 1 + 8 - 0[/tex]

= 9 (Ans)

Given the sequence -14, -6, -2, 0, 1, ..., find the recursive formula.

Answers

Answer:

C is the answer to your question

Without using mathematical tables,find 6log(x+4)=log64

Answers

Answer:

x=-2.2180

Step-by-step explanation:

steps are in picture

Proteins have a variety of functions within a living cell. What are the possible functions of proteins, and how can proteins be so diverse?

Proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport.
Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Proteins function as insulation, protection, and defense and are diverse due to the arrangement of the fatty acids.

Answers

Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport. Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.

Answer:

The correct answer to the question is, proteins are made of amino acids bonded together in a variety of ways and can function as enzymes, transport, and structure.

One of the abundant organic molecules in living systems is the proteins. Proteins have the most various ranges of functions of all macromolecules.

Further Explanation

They may be regulatory, contractile, structural or protective. They serve in membranes, transport or storage. In a living system, each cell may have thousands of different proteins and performs different functions.  Proteins function and structures differ. However, all proteins are polymers of amino acid which are arranged in linear sequence.

Proteins perform a lot of functions and this is because there are 20 chemically distinct amino acids which constitute the long chains and the amino can take different order. For instance, proteins can function as hormones or enzymes. Living cells produced enzymes and are catalyst in chemical reaction. They are usually proteins. Enzymes can function to rearrange bond, to break bonds, or formation of new bonds. One of the examples of enzymes is salivary amylase, which is a component of starch. Hormones are usually proteins or steroids, which are secreted by a group of endocrine cells that control physiological process such as metabolism, reproduction and growth.

The monomers comprises of proteins are called amino acid and each amino acid has structures that make up of central carbon atom bonded into amino group.  

KEYWORDS:

amino acid

proteins

enzymes

transport

hormones

please, solve for x!

Answers

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

See attachment for the question

Answers

Answer:

-22

Step-by-step explanation:

f(x) = 3x^2 - 5

let x= 3

f(3) = 3*(3)^2 -5 = 3(9) -5 =27-5 =22

g(x) = -2x+5

Let x = 3

g(3) = -2(3) +5 = -6+5 = -1

f(3) *g(3) = 22(-1) = -22

Classify the following polynomials. Combine like terms first. PLEASE ANSWER I'm really confused. :(
2x-x2+4x+x2
x3-5x2+3-2
x3-x3+x2-x2+3
7x-x2+x3+4x2
-6x-x3+6x-4x

Quadratic monomial
Quadratic binomial
Quadratic trinomial
Cubic monomial
Cubic binomial
Cubic trinomial
Linear monomial
Constant monomial

Answers

5−33−32+39+3

Not sure?

Helppppppppppppp meeeee pleaseeeeeee

Answers

Answer:

I'm pretty sure it's the first and last one

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!

The point (-2, 5) is reflected over an axis and the new point is located in Quadrant 3.


a. Describe the reflection that happened. What axis was the point reflected over?


b. What are the coordinates of the new point?

Answers

9514 1404 393

Answer:

x-axis(-2, -5)

Step-by-step explanation:

a) The original point is in quadrant 2. Reflection into quadrant 3 is a reflection over the x-axis.

__

b) Reflection over the x-axis changes the sign of the y-coordinate. The new point is (-2, -5).

Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False

Answers

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

A single ticket for a journey costs $1.25
25 single tickets can be bought in a book for $27
Lily makes 25 journeys.
How much does Lily save by using a book of tickets?
Show your working.

Answers

Answer:

answer i dont know please

Factor –6x^2 – x + 2

Plus checking with FOIL

Answers

Answer:

x= 1/2 or x= -2/3

Step-by-step explanation:

-6x²-x+2=0

-6x²-4x+3x+2=0

-2x(3x+2) + 1(3x+2)=0

(-2x+1) (3x+2)=0

-2x+1=0 or 3x+2=0

x= -1/-2 or x= -2/3

so therefore

x=1/2 0r -2/3

using FOIL method

FIRST: (-2x)(3x)= -6x²

OUTER: (-2x)(2)= -4x

INNER: (1)(3x)= 3x

LAST: (1)(2) =2

-6x²-4x+3x+2

Find the point on the paraboloid z = 4x2 + 4y2 which is closest to the point
(4; 5; 6).

Answers

Using the method of Lagrange multipliers: the Lagrangian is

[tex]L(x,y,z,\lambda) = (x-4)^2+(y-5)^2+(z-6)^2 - \lambda (z-4x^2-4y^2)[/tex]

Fix λ > 0.

That is, we are minimizing the squared distance of a point (x, y, z) on the paraboloid to the point (4, 5, 6). We can use the squared distance in place of the proper Euclidean distance because both f(x) and √f(x) have critical points at the same point x ; plus the math works out much more easily.

Find the critical points of the Lagrangian:

[tex]\dfrac{\partial L}{\partial x} = 2(x-4) + 8\lambda x = 0 \\\\ \dfrac{\partial L}{\partial y} = 2(y-5) + 8\lambda y = 0 \\\\ \dfrac{\partial L}{\partial z} = 2(z-6) - \lambda = 0 \\\\ \dfrac{\partial L}{\partial\lambda} = -z+4x^2+4y^2 = 0[/tex]

Solving for λ in terms of x, y, or z gives

[tex]\displaystyle \lambda = \frac1x-\frac14 = \frac5{4y} - \frac14 = 2z-12[/tex]

so right away, we get

[tex]\dfrac5{4y} - \dfrac14 = \dfrac1x - \dfrac14 \implies y=\dfrac{5x}4 \\\\ 2z-12 = \dfrac1x-\dfrac14 \implies z = \dfrac1{2x} + \dfrac{47}8[/tex]

Substitute these into the constraint and solve for x, then for y and z :

[tex]\dfrac1{2x} + \dfrac{47}8 = 4x^2 +4\left(\dfrac{5x}4\right)^2 \implies 82x^3 - 47x - 4 = 0[/tex]

This has 3 roots, but we take the lone positive solution for x because otherwise λ would be negative. This root is x ≈ 0.7965.

Then it follows that the closest point on the paraboloid to (4, 5, 6) is the critical point (0.7965, 0.9956, 6.5028).

Hello! PLEASEEEE PLEASEE GIVE THE ANSWERS TO THESE! I WILL GIVE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS !!!​

Answers

Answer:

sorry  cause pic is small and cant enlarge

Step-by-step explanation:

Pls help will do brainliest answer

Answers

Answer:

[tex]f(x) = 15 \csc(x) + 5[/tex] (first option)

Step-by-step explanation:

[tex]f(x) = a \: \csc(x) + b[/tex]

[tex]a + b = 20[/tex]

[tex] - a + b = - 10[/tex]

••••

[tex]2b = 10[/tex]

[tex]b = 5[/tex]

[tex]a = 20 - 6 = 15[/tex]

[tex] = f(x) = 15 \csc(x) + 5[/tex]

how do you put 300,000+10,000+6,000+20+9

Answers

Answer:

three hundred thousand plus ten thousand plus six thousand plus twenty plus nine

Step-by-step explanation:

300,000 → three hundred thousand

10,000 → ten thousand

6,000 → six thousand

20 → twenty

9 → nine

+ → plus

Now put everything together.

Best of Luck!

Find the product.
(4t+na) (t - 2na)

Answers

Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

Dudjdkdjejdnkdhdbd

5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133

Answers

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

5x-9=2x+12
can somebody answer this and if possible, can you show work?​

Answers

Answer:

X = 7

Step-by-step explanation:

5x-9=2x+12

5x-2x=12+9

3x=21

X=21/3

X=7

-8 + 2x + 17 - x + 20​

Answers

If you are looking to simplify the answer is: 29x
Answer: 29+x
Explanation: 20+17-8=29 , 2x-x=1x=x

Question 5
1 pts
Find the coordinate of the other endpoint if the midpoint is (5,5) and endpoint is (-1,4).
O (9,6)
(11,6)
(11, 14)
O (9, 14)

Answers

Answer:

(11,6)

Step-by-step explanation:

log square root 27 ÷ log 81

Answers

I think 0.33333333333333 log square root, I actually don’t know hope that helps
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