What are the zeros of the function f, where f(x)=6x^2-9x-6

Answers

Answer 1

Answer:

x=NEGATIVE 1/2, POSITIVE 2

Step-by-step explanation:

Just use math.waycom

Answer 2

The non-negative zero of the function f(x) is x = 2.

What are zeros  of quadratic function?

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

x = -b ±√b² - 4ac / 2a

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

x = 9±15 /12

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

To learn more on zeros of quadratic function click:

brainly.com/question/28822774

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Related Questions


HELP ME PLEASE ?!?!?

Answers

Step-by-step explanation:

According to phythagorous theorem

c²= 8²+6²

= c²=64+36

= c²=100

= c= \/100

c = 10 mm

Answer:

[tex]6 {}^{2} + 8 { }^{2} = 36 + 64 = 100[/tex]

H=√100=10mm

Hope it helps

Have a good day

Which set of data represents the stem-and-leaf plot below? A stem and leaf plot. A vertical line separates each stem from its first leaf. The first row has a stem of 4 and leaves of 1 and 1. The second row has a stem of 5 and leaves of 0, 5, and 7. The third row has a stem of 6 and leaves of 0 and 1. The fourth row has a stem of 7 and a leaf of 8. The fifth row has a stem of 8 and a leaf of 0. Key colon 4 vertical line 1 equals 41. Question 1 options: {88, 10, 41, 50, 57, 60, 66, 54, 41} {78, 80, 14, 50, 57, 43 ,21, 55, 44} {78, 80, 41, 50, 57, 60, 61, 55, 41} 0 of 1 questions saved

Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb the answer is b

How does labeling the diagram help us show that we can use right triangle congruency (SAS in this case)?

Answers

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent

martha can paint a room in 8 hours. jamie can paint the same room in 4 hours. how long to the nearest tenth of an hour will it take them to paint the room together

Answers

Answer:

in 1 hr martha finishes 1/8th of the room

in 1hr jaime finishes 1/4th of the room

combined in 1hr they can finish (1/8 + 1/4) = 3/8th of the room.

for painting the whole room both of them together it takes the 8/3 hrs = 2.67hr

Thomas scored 257 points on the first three tests in class. What does he need to score on the next test to have a test average of 85?

A.
83

B.
79

C.
87

D.
91



Please help me

Answers

Answer:

The answer is A-83

[tex] \frac{257 + 83}{400} = 0.85[/tex]

Juanita can complete 12 math problems in 40 minutes. How many problems can she complete in 60 minutes

Answers

Answer:

The answer is 18.

Step-by-step explanation:

What are the three different kinds of problems we can solve using the percent proportion?

Answers

Answer:

We have now seen solutions method for the three basic types of percent problems ;finding the amount, the rate, and the base

Joey went to the county fair last weekend. When he got there, he had to walk 1/2 of a mile from the car to the entrance. Then he walked 11/16 of a mile to the carnival rides and 1/2 of a mile from the carnival rides to the farm animal show. Next, he walked 3/4 of a mile back to the car. How many miles did Joey walk in all?​

Answers

Answer:

39/16 or 2 7/16 miles

Step-by-step explanation:

find the common denominator between all fractions (16).

1/2 = 8/16

3/4 = 12/16

8 + 11 + 8 + 12 = 39

Therefore, Joey walked 39/16 or 2 7/16 miles in total

2. Determine the slope of the line that passes through
the points (-1, -3) and (0, 6).

Answers

Answer:

9

Step-by-step explanation:

use the formula m = y2- y1 / x2 - x1

Answer:

Step-by-step explanation:

The slope of a line can be found using any two points of a line and the slope, m, is defined as

m=(y2-y1)/(x2-x1), we have points (-1,-3) and (0,6) so

m=(6-(-3))/(0-(-1))

m=9/1

m=9

HURRY PLEASE!!!!
Identify the graph of y = In x + 1.
X
64
RETRY

Answers

The Middle answer is the answer

Subtract: (-5x + 8) - (3x + 5)​

Answers

Answer:

Solution: -8x + 3

Step-by-step explanation:

KHAN ACADEMY

(p.s. can u give me brainliest?)

X=
W
12
х
y
10
X
4
8

Answers

Answer:

1

2

1

0

*

4

8

Step-by-step explanation:

Help me will mark brainliest!!!

Answers

Answer:

a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction. It can extend infinitely in one direction.

Answer:

A ray can intersect a circle in a line segment

Because when a ray will pass through a circle,it will Pass through two points making it a line segment in the circle

1) Veja o calendário de plantio e colheita do Arroz na região Centro-Oeste do Brasil . *

Answers

Answer:

sos, i dont understand

Step-by-step explanation:

Unit 2 Mid-Unit Assessment

Answers

Answer:

users are not supposed to help you on test, quiz's or assessments. according to the T.O.S of brainly aka the honor code

Step-by-step explanation:

If Samantha can make 6 bracelets in 1 hour and Payton makes 15 bracelets in 3 hours - what is the difference in the number of
bracelets they would make in 6 hours?

Answers

Samantha would make 36 bracelets in 6 hours, while Payton would make 30 bracelets in 6 hours. This means the difference in the number of bracelets they would make in 6 hours is 6 bracelets.

A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?​

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

The area = length * Width.

We know the width = X+6 inches and Area = x^3+3x^2–18x.

This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.

So the length is x^2–3x inches.

The length of the rectangle is [tex]\rm x(x-3)[/tex].

Given

The area of the rectangle = [tex]\rm x^3+3x^2-18x[/tex] square inches

The width of the rectangle = x + 6 inches

Area of the rectangle

The area of the rectangle is equal to the product of length and width of the rectangle.

Let the length of the rectangle be L.

The area of the rectangle is given by;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\\rm x^3+3x^2-18x= L \times (x+6)\\\\L=\dfrac{ x^3+3x^2-18x}{x+6}\\\\L = \dfrac{ x(x+6)(x-3)}{x+6}\\\\ L = x (x-3)[/tex]

Hence, the length of the rectangle is [tex]\rm x(x-3)[/tex].

To know about rectangles click the link given below.

https://brainly.com/question/14383947

Can someone please help me answer this

Answers

Answer:

1) a = 1.6          2) f = 0.53

Step-by-step explanation:

1) 6a = 10                      2) 48 = 90f

6a/6 = 10/6                       90f/90 = 48/90

a = 1.6                                f = 0.53

sorry i could only do the first two, i think those are right

Write the equation in slope-intercept form: 5x - 2y = 12

Answers

Answer:

Step-by-step explanation:

Solving

5x + -2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.

5x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

5x + 0 = 12 + 2y

5x = 12 + 2y

Divide each side by '5'.

x = 2.4 + 0.4y

Simplifying

x = 2.4 + 0.4y

Help please

Find the zeros for
y=(x-2)(x+7)

Answers

Answer:

x = 2 and x = -7

Step-by-step explanation:

To find y = 0, so you need either x - 2 =0 or x + 7 =0, so x can be 2 or -7.

If it is helpful, plz give me Brainliest.

Find two integers whose sum is 17 and product is 72

pleaseee help

Answers

Your answer will be 9 and 8. I’m 96% sure

Hope it helps

please help it’s due today!!!

Answers

Answer:

1=x and 2=y

Step-by-step explanation:

PLEASE HELP

Use the formula √(x2−x1)2+(y2−y1)2 to find the distance between the points(8,2) and (3,8) to the nearest tenth please

Answers

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(3-8)^2+(8-2)^2} =\sqrt{25+36 }=\sqrt{61} \approx 7.81[/tex]

La base de un rectángulo es
doble que su altura. ¿Cua
les son sus dimensiones si
el perímetro mide 30 cm?​

Answers

La L es la base y la h es la altura
Espere lo ayude no se escribir en español tan bien

Convert the following sentence into an algebraic expression: a number increased by 5

Answers

Answer:

x + 5

Step-by-step explanation:

Let x be the unknown number. Increased means adding, so you add 5 to the unknown number.

Resulting in x + 5

find the lateral area of this cone​

Answers

Answer:

lateral area = 180π in²

Step-by-step explanation:

The lateral area is the surface of the cone only.

perimeter of base = 12 x 2 = 24π in

Surface Area = 1/2 perimeter x slant height

SA = 1/2 x 24π x 15 = 180π in²

Jasmine and 4 friends moved 23 pounds of dirt. Each friend moved the same amount of dirt. How much dirt did each friend move?​

Answers

5.75 is the answer I just wanted to help but that like button

Write an expression equivalent to

Answers

Answer:

-7+ y/3

Step-by-step explanation:

you just add like terms

help me what is the answer

Answers

Answer:

A. rational

Step-by-step explanation:

ive learned this before

Answer:

Whole C)

Square root of 144 is 12

Hope this helps! Have a nice life!

6 / 32
Simplify
a)
4p + 2p – 3p
b)
9s- 5s + 2s-S
c)
8t + 3r - 76 - 9r​

Answers

Answer:

a.3p

b 5s

c 2r -76 this can be the answer

Answer: A) 3p , B) 5s , C) -6r+8t-76

Step-by-step explanation:

A ) 4p + 2p – 3p

combine like terms :-

(4p+2p+-3p)

(4p+2p+-3p) = 3p

= 3p

B ) 9s- 5s + 2s-S

combine like terms :-

( 9s-5s+2s+-s)

( 9s-5s+2s+-s) = 5s

C )  8t + 3r - 76 - 9r​

combine like terms :-

(3r+-9r)+(8t)+(-76)

= - 6r+8t+-76

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