If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

factor the equation f(x) = 2x² + x - 3

=> f(x) = (2x + 3)(x - 1)

Answer 2

Option B is correct.

What is zeros of a function?

A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.

According to the given question

we have a function

[tex]f(x)=2x^{2} +x-3[/tex]

[tex]f(x)=2x^{2} + 3x-2x-3[/tex]

[tex]f(x)=2x^{2} -2x+3x-3[/tex]

[tex]f(x)=2x(x-1)+3(x-1)[/tex]

[tex]f(x)=(2x+3)(x-1)[/tex]

for finding the zeros of f(x), substitute f(x)=0

[tex](2x+3)(x-1)=0\\[/tex]

⇒ x=[tex]\frac{-3}{2}[/tex] and x=1

Hence, option B is used for finding the zeros of the given function f(x).

Learn more about the zeros of function here:

https://brainly.com/question/944636

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Related Questions

Alan worked for 2 58 hours doing yard work. He spent 1 12 hours raking leaves. He spent the rest of the time cleaning out the flower bed. How long did he spend cleaning out the flower bed?

Answers

Answer:

If it takes Luke 3 hours to rake a yard, and Don 5 hours to rake the same yard, how long will it take them to rake the yard together.
First we do it in our head. Take everything to 15 hours, the LCM of 3 hours and
and 5 hours. Since Luke can rake 1 yard in 3 hours, he can therefore rake 5
yards in 15 hours. Similarly since Don can rake 1 yard in 5 hours, he can
therefore rake 3 yards in 15 hours. So that's 5 yards plus 3 yards they can
rake in working simultaneously for 15 hours, therefore they rake 8 yards in 15
hours or 1 yard in 15%2F8ths of an hour. That's 1%267%2F8ths hours.

By algebra. Make this chart:


Yards raked Hours Rate in yards/hr
Luke 1 3 1/3
Don 1 5 1/5
Together 1 x 1/x

Luke's rate + Don's rate = their rate together
1/3 + 1/5 = 1/x

Solve that by clearing of fractions and you'll get the same answer as
when we do it in our head.

1 13/24

Ignore this btw that is the answer i’m just writing this cause it says i have to write 20 letters-

What is the value of the fraction below?
21/0

A. Undefined
B.0

PLEASE HELP

Answers

The answer is undefined

Someone help NO LINKS/WEBSITES PLZ and I will mark brainiest if it’s right :)

Answers

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

17 and 18 please no links

Answers

Answer:

17) 135 degrees

Step-by-step explanation:

An octagon contains six triangle, or 1080 degrees, meaning each angle is 135 degrees.

Step-by-step explanation:

1. an octagon contain 6 triangles or 1080 degrees this means with 8 angles each angle is 135 degrees

WILL MAKE BRAINLIST only if you solve this

Answers

Answer:

18/18 is fractions

16/16 is fractions

Step-by-step explanation:

18/18x16/16=1

Theres your answer.

answer this MATH question thank you :)

Answers

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest

Answers

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!

What is the range of the following relation?
Oxso
all real numbers

Answers

Answer:

Step-by-step explanation:

The y values must be at or below the y axis, so C is the answer.

Solve for X pleaassee help

Answers

The answer is 1 because 20 times 1 plus 1 is 21.

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

A group of 5 friends sold lemonade. If they sold each cup for $0.50 on Friday and for $0.45 on each other day of the week, how much money did each friend make if they split the money evenly?

Answers

Answer:

$5.81

Step-by-step explanation:

HELPPP PLS what is the circumference of 11 , 8 ,and 6 !

Answers

Answer:

C≈34.56, C≈25.13 and C≈18.85

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·11≈34.55752

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·6≈18.84956

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

The numbers are blurry on the graph

The length of a rectangle plus its width is 18 cm. The area is 80 sq cm. what are the length and width of the rectangle?

Answers

Answer:

80 units squared

Step-by-step explanation:

If two sides of a rectangle add up to 18cm and the area is 80 units squared then the length is 10cm, and the width is 8cm. If you add 10 and 8 together you get 18, and if you multiply those you get 80 units squared.

Find the smallest side of CDE?

Answers

side CE because it is across from the smallest degree.
It’s D because it is 56*

In the right triangle shown, m

Answers

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication

find the area and the circumference of the circle round your answers to the nearest hundredth​

Answers

Answer:

Circumference= 50.27

Area= 201.06

Find the midpoint of the segment with the following endpoints. (10, 7) and (5, 4)

Answers

Answer:

[tex]\frac{15}{2} , \frac{11}{2}[/tex]

Step-by-step explanation:-

To find the midpoint, the equation we use is:-

[tex]\frac{x1 +x2}{2} , \frac{y1 + y2}{2}[/tex]

x1 = 10

x2 = 5

y1 = 7

y2 = 4

Substituting the values in the equation, we get:-

[tex]\frac{10+5}{2} , \frac{7+4}{2}[/tex]

Coordinates of the midpoint---> [tex]\frac{15}{2} , \frac{11}{2}[/tex]

Choose the graph that represents the following system of inequalities:

y ≤ −3x + 1
y ≤ 1 over 2x + 3

In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.

Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

Both inequalities have y ≤ ( ), so will be bounded by solid lines, and shaded below that line (where y-values are lower). The first inequality has a boundary line with a steeply negative slope; the second has a shallow positive slope.

Since both are shaded below, the doubly-shaded area (AB) will be in the bottom quadrant, below the point of intersection of the lines. The graph attached below shows the correct shading.

hii please help i’ll give brainliest!!

Answers

Answer:

the answer is c

Step-by-step explanation:

plato users

Traingle ABC below has a rigth angle C and a hieght CD. If AC is 3 units long, and BC is 4, what is the lengtyh of CD

Answers

Answer:

5 units

Step-by-step explanation:

the length of CD can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 9 + 16

= 25

the square root of 25 is 5

Write the domain of
Y= x+1/
(x+2)(x+10)

Answers

(-∞,-10)∪(-10,-2)∪(-2,∞)

Or

[tex]\left\{x|x\ne-2,-10\right\}[/tex]

Both are correct.

I need help if you answer correct I will give brainiest

Answers

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

Answers

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

also

6300

8400

= B= 14056

Answer:

5

Step-by-step explanation:

Calculate the slope , rate of change m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)

m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5

Uhhh what?

A. 120
B. 30
C. 90
D. 45

Answers

C.90 bc it’s a right angle
The answer is c 90 degrees big daddy

Triangle theoroms, what is the value of x ?

Answers

Answer:

50.6

Step-by-step explanation:

MA=46.2-14=32.2

We have similar triangles.

That is, triangle MNP is similar to MAB.

This means, we have the following proportion to solve:

32.2/46.2=x/72.6

Multiply both sides by 72.6

32.2/46.2*72.6=x

50.6=x

An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).

Answers

Answer:

Step-by-step explanation:

Putting value of n = 12

f(12) = 128 + 15(12 - 1)

= 128 + 180 - 15

= 293


Find the area of the shaded sector of the circle. no links

Answers

Answer:

706.86m

Step-by-step explanation:

Square the radius, then multiply by pi.

The product of two fractions is 14/9.Write all possible answers

Answers

Answer:

Step-by-step explanation:

7/3 * 2/3

14/3 * 1/3

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