Find the zeros of each quadratic function using any method.
f(x)=(2x+1)(x-3)

Answers

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

===================================================

Explanation:

Set each factor equal to zero and solve for x. This is using the zero product property.

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

2x+1 = 0    or    x-3 = 0

2x = -1     or    x = 3

x = -1/2    or   x = 3

If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.


Related Questions

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. h What is the probability of drawing a red marble out of the bag without looking? 1/9 2/9 1/3 1/2​

Answers

Answer:

1/3

Step-by-step explanation:

3+3+2+1=9 marbles

3 are red so 3/9

3/9=1/3

Please help I’ll give brainliest

Answers

Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

Please Mark me brainliest

If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?

Answers

Answer: $32.5

Step-by-step explanation:

Given

Greg needs 50 corns on the cobs

A package of 5 costs $3.25

For 50 corns, he needed 10 package

So, cost of 10 packages is

[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]

Diego has 1/4 of a book left to read. There is 6 chapters left each chapter is the same length. What fraction of the book is each chapter

Answers

Answer:

Fraction of the book is each chapter = 1 / 24

Step-by-step explanation:

Given:

Fraction of book left to read = 1/4 book

Number of chapter left to read = 6 chapter

Find;

Fraction of the book is each chapter

Computation:

Total number of chapter in book = Number of chapter left to read / Fraction of book left to read

Total number of chapter in book = 4 x 6

Total number of chapter in book = 24 chapters

Fraction of the book is each chapter = Number of book / Total number of chapter in book

Fraction of the book is each chapter = 1 / 24

What is 14c12?
A. 78
B. 91
C. 105
D. 120

Answers

9514 1404 393

Answer:

  B.  91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

Please help. Will give 15 points!!!!

Answers

I believe it’s false I’m not too sure I haven’t done that in a while

it should be false but its been a while since i did that but the expressions should be multiplied together  

Dasukede kudasai
Trigonometry prove
Photo attached​

Answers

Answer:

Step-by-step explanation:

Formulas used:

  [tex]sin( A +B) = 2sin Acos B\\\\sin A= sin (\frac{A}{2} + \frac{A}{2}) = 2 \ sin \frac{A}{2}cos \frac{A}{2}\\\\cos(A + B) = cosA cosB - sinA sinB\\\\cos A = cos(\frac{A}{2} + \frac{A}{2}) = cos \frac{A}{2} cos \frac{A}{2} - sin \frac{A}{2} sin \frac{A}{2}[/tex]

                               [tex]= cos^2 \frac{A}{2} - sin^2 \frac{A}{2}[/tex]

  [tex]1 - sin^2 \frac{A}{2} = cos^2 \frac{A}{2}[/tex]

   [tex]\frac{sin\frac{A}{2}}{cos\frac{A}{2}} = tan\frac{A}{2}[/tex]

Given :

LHS =

             [tex]\frac{sin \frac{A}{2} + sin A }{1 + cos \frac{A}{2} + cosA}\\\\=\frac{sin \frac{A}{2} + 2sin \frac{A}{2} cos \frac{A}{2} }{1 + cos \frac{A}{2} +cos ^2\frac{A}{2} -sin^2 \frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} + 1 - sin^2\frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} +cos ^2 \frac{A}{2} }\\\\[/tex]

            [tex]=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + 2cos ^2 \frac{A}{2} }\\\\=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} ( 1 + 2cos \frac{A}{2}) }\\\\=\frac{sin\frac{A}{2}}{cos\frac{A}{2}}\\\\= tan \frac{A}{2}\\\\= RHS[/tex]

Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no

Answers

Answer:

Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company

What is the sum of the measures of the interior angles of the stop signIf the stop sign is a regular octagon, what is the measure of each interior angle?

Answers

Answer:

I think its hfbfjfbsobsxhhx

Answer:

1080 & 135

Step-by-step explanation:

I did it

Simplify each using positive exponents only: questions on image

Answers

Answer:

16) 8/X

19) 16x^8

22)81x^8

The numerator of a rational number is less thanits denominator by 7. If the new number becomes [tex]\frac{3}{2}[/tex] when the numerator is tripled and the denominator is increased by 13, find the original number.

Answers

Answer:

Step-by-step explanation:

If the numerator is 7 less than its denominator, than the original number in terms of x is

[tex]\frac{x-7}{x}[/tex]. If we triple the numerator, the expression to do this is 3(x - 7); if we increase the denominator, the expression to do this is x + 13. Putting that together along with the fact that after we do this manipulation the new number is 3/2:

[tex]\frac{3(x-7)}{x+13}=\frac{3}{2}[/tex] and distribute:

[tex]\frac{3x-21}{x+13}=\frac{3}{2}[/tex] and cross multiply to get:

2(3x - 21) = 3(x + 13) and

6x - 42 = 3x + 39 and

3x = 81 so

x = 27. Subbing 27 for x into the original number:

[tex]\frac{27-7}{27}=\frac{20}{27}[/tex]

ADEF is a dilation of AABC by a scale factor of. Which of the following
proportions verifies that AABC and ADEF are similar?
15
12
5
O A.
DE BC
AB DF
OB.
AB
DE
EF
AC
OC. PRO
DE
ВС
OD.
DE
=
AC
DF

Answers

Answer:

c

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

DEF should be three times as big as ABC

AB = 5 ; DE = 5 x 3 = 15

AC = 3 ; DF = 3x 3 = 9

BC = 4 ; EF = 4 X 3 = 12

the options that correspond to this is option c

someone help me pleaseeeeee

Answers

Answer:

option B

Step-by-step explanation:

Top right graph

Answer:

b

Step-by-step explanation:

pls mark me brainliest

What is the degree of the monomial? 8x2y3 24​

Answers

Answer:

5

Step-by-step explanation:

8x^2y^3 24

degree of monomial is power of x + power of x

2 + 3= 5

Answer:

5

Step-by-step explanation:

What is that 24 doing there?

If the monomial is

[tex] 8x^2y^3 [/tex]

then the degree is 5.

The degree of a monomial is the sum of the exponents of all the variables of the monomial.

slope for (0,0) and (3,30)

Answers

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

=30/3

=10

Sumaya's Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size. It will cost twice as much as the small size. Which coordinate pair represents the volume and cost of the extra-large size?

Answers

Answer:

The answer is below

Step-by-step explanation:

Sumaya’s Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size (the small size is (8,4) ). It will cost twice as much as the small size.

Which coordinate pair represents the volume and cost of the extra-large size?

Solution:

The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.

The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)

Since the volume of the extra-large size will have three times the volume of the small size, hence:

Volume of extra-large size = 8 * 3 = 24

The cost of extra large is twice as much as the small size, hence:

Cost of extra large = 4 * 2 = 8

Therefore the coordinate pair that represents the volume and cost of the extra-large size is:

(24, 8)

John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?

Answers

Answer:

$4928.87

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

P is principle amountr is raten is compound ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 250

r = 15% = 0.15

n = 12

t = 20

Step 2: Solve

Substitute in variables [Compounded Interest Rate Formula]:                     [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}[/tex][Exponents] Multiply:                                                                                        [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{240}[/tex](Parenthesis) Divide:                                                                                        [tex]\displaystyle A = 250(1 + 0.0125)^{240}[/tex](Parenthesis) Add:                                                                                            [tex]\displaystyle A = 250(1.0125)^{240}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 250(19.7155)[/tex]Multiply:                                                                                                             [tex]\displaystyle A = 4928.87[/tex]

help me someone The table below represents a geometric sequence.

Answers

Answer: i feel like its C but im not sure

Step-by-step explanation:


Rockey has lent out 8000 for 5 years
at 15% per nm & borrowed ruppies 6000
for 3 years at 12% per nm, how much
did he gain or loose.

Answers

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{8000*15*5}{100}[/tex]

     [tex]=Rs. 6,000[/tex]

Amount = [tex]8,000+6,000=Rs. 14,000[/tex]

Interest = [tex]Rs. 6,000[/tex] Amount = [tex]Rs. 14,000[/tex]

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{6000*12*3}{100}[/tex]

     [tex]= Rs.2160[/tex]

Amount = [tex]6,000+2,160=Rs.8,160[/tex]

Interest = [tex]Rs. 21,600[/tex]  Amount = [tex]Rs.8160[/tex]

Gain: 6,000 - 2,160

Gain = Rs. 3,840

hope this helps......

what is real numbers? explain briefly..​

Answers

Answer:

a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.

plz mark me as brainliest

Round the decimal 7.16 ?

Answers

Answer:

7(nearest whole number)

7.2(1 decimal place)

1x1x2x2x9x9x9x9x9x9x8x8x7x6x5x8x7x8x7x8x7x86x566x64x32x66x2x73747x766x0

Answers

Answer:

0

Step-by-step explanation:

Anything times 0 is 0.

Without the 0 it's 3.72966900E+33.

Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth

Sin 38°= ?

Answers

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....

what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%

Answers

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5

(Factorize it)
Here it is: ​

Answers

Answer:

D: (x^2 + 3x + 9) (x^2 - 3x + 9)

-

G: (x^2 + 3x + 5) (x^2 - 3x + 5)

Answer:

[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]

[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]

Step-by-step explanation:

Hope it is helpful....

Help please!!!!!!!!!!!

Answers

Answer:

16.2m

Step by step:

b=20

angle= 40

h=x(let us considered)

now ,

tan =P/b

putting value.

tan40=x/20

x=20 tan40

x=16.2m

Name each polynomial

4m^2-5m+6

18s-7

6p^3

Answers

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?

Answers

Answer:

The family should budget $73.50 for 21 gallons of gasoline.

Fill in each box to make the statements true.

The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).

Answers

1. 5 2. 7 3. 8 4. 8

Can You help me with this problem I’m stuck

Answers

Answer:

Last option,

i.e - 30 miles/1hour

is correct (☑️)

Other Questions
what sex chromosome is carried by the egg? What is the definition of a four-dimensional (4-D) shape? 1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po The Great Depression was caused byA. not enough people spending money to boost the economy B. Instability of Americas financial house C. People spending too much money D. Production being at an all-time low Culler Construction Company agreed with the City of Orange Key to build a road. The project was to begin on December 1. One week after the work began, a hurricane struck the site, washing away so much land that the construction would be twice as expensive. As a result, Culler refused to continue the job, unless Orange Key paid a large sum in addition to the initial contract price. A promise by Orange Key to pay more than the original price is:_______ Solve for p in the literal equation 2p + 38 = 9.p = Of the following government types, which two have the most in common?A.a democracy and a dictatorshipB.a republic and a monarchyC.a republic and an aristocracyD.a monarchy and a dictatorship Write a report on the implications of entropy to a Christian 500 words PLEASE HELP!!!!! very urgent asap!!! need help please What is the measure of A A 4-month-old child has poor weight gain. Her current weight is less than the 5th percentile, height about the 10th percentile, and head circumference at the 50th percentile. The planned pregnancy resulted in a normal, spontaneous, vaginal delivery; mother and child were dis- charged after a 48-hour hospitalization. Feeding is via breast and bot- tle; the quantity seems sufficient. The child has had no illness. The examination is unremarkable except for the childs small size. Screening laboratory shows the hemoglobin and hematocrit are 11 mg/dL and 33%, respectively, with a platelet count of 198,000/mm3. Serum electrolyte levels are sodium 140, chloride 105, potassium 3.5, bicarbon- ate 17, blood urea nitrogen 15, and creatinine 0.3. Liver function tests are normal. Urinalysis reveals a pH of 8 with occasional epithelial cells but no white blood cells, bacteria, protein, ketones, or reducing substances. Which of the following is the most appropriate therapy for this child?A. Transfusion with packed red blood cells (PRBCs)B. Intravenous (IV) infusion of potassium chlorideC. Sweat chloride analysisD. Growth hormone determinationE. Oral supplementation with bicarbonate 1Which is not an effective way to search for a file that is located in an unknown folderlocation?(A) entering the name of the file in the space for Search Programs and Files inWindows(B) pressing Windows key and entering the file name into the search box(C) selecting Control Panel, thenselecting Indexing Options in Windows(D) pressing Windows Key and [F] to open the universal search menu and set it tosearch files What is meant by liquidation Find the expression for f(x) that makes the following equation true for all values of x 9^x3^x+2=3^f(x). HELP ME PLS!!!!Find the location of beryllium (Be) on the periodic table. What type of ion willberyllium form?A. An ion with a -2 chargeB. An ion with a +6 chargeC. An ion with a +2 chargeD. An ion with a -6 charge Solve the exponential equation: 210 = 42x Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine whichequation represents this. The table shown below represents a function. Which of the following values could not be used to complete the table? To standardize a hydrochloric acid solution, it was used as a titrant with a solid sample of sodium hydrogen carbonate, NaHCO3. The solid sample had a mass of 0.3967g, and 41.77 mL of acid was required to reach the equivalence point. Calculate the concentration of the standard solution. Which new material did Neolithic people invent and use for making tools