Bill and jenna are solving the quadratic equation x 2 - x = 12. bill solved this way jenna solved this way x 2 - x = 12 x(x - 1) = 12 x = 12 or 13 x 2 - x = 12 x 2 - x - 12 = 0 (x - 4)(x 3) = 0 x = 4 or x = -3 which student is correct? what error did the other student make when solving?

Answers

Answer 1

Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

Form of quadratic equation

The form of quadratic equations is given as

ax2 + bx + c = 0

So, for the quadratic equation, we have

x² - x = 12

Let's make it into quadratic form

x² - x - 12 = 0

Bill solved it as

x(x - 1) = 12

This is wrong, because quadratic equations must be written in the form before solving for the variables

Jenna solved it as

x 2 - x - 12 = 0

Jenna is correct because she converted the equation to a quadratic form before solving for the variables.

Thus, Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

Learn more about quadratic equations here:

https://brainly.com/question/7784687

#SPJ1


Related Questions

Please help me!!!!

3. Compute the product axb in each of the
following cases:
a) a = -7.5
and b=0.25 ;
b) a = -2.5
and b=-18;
c) a = -812
and b=-0.75;
d) a = 4.25 and b= -326.​

Answers

Answer:

a). -7.5*0.25 = -1.875

b). -2.5*(-18) = 45

c). -812*(-0.75) =609

d). 4.25*(-326) = -1385.5

Rewrite using the
distributive property.

14 + 35?
whats the answer plz

Answers

Answer 7+7+35

Step-by-step explanation:

Answer:

I think (10*1)+4+(10*3)+5??

Step-by-step explanation:

the * represents a multiplication sign btw

Find the area of the triangle.

Answers

Answer:

[tex] 28\: ft^2[/tex]

Step-by-step explanation:

Area of the triangle

[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]

What is the circumference of a circle with a diameter of 15 inches

Answers

Answer:

C=47.1

Step-by-step explanation:

take the diameter(15) and multiply it by pi(3.14).

15 x 3.14 = 47.1

Which is the best estimate of the sum of 18.9 and 99.3?
A. 100
B. 110
C. 120
D. 130

Answers

Answer:

120

Step-by-step explanation:

99.3 + 18.9 = 118.2

Factor the expression.
(_q^2r+_s^2)(_q^4t^2-6q^2rs^2t+_s^4t^2)

Answers

Answer:

2

3

4

9

Step-by-step explanation:

Please answer this as soon as you can I really need this done

Answers

1) -10>x
2) yes I think
3)-x-6>-3.5 but -x-6>3.5 should also work
4) open
Left
Closed
Left

What is clustering?

A. a data point that does not fit the general pattern in the data
B. a group of data points around a value
C. a relationship between two variables
D. a graph showing the relationship between two sets of data

Answers

D. Clustering is a short term saying data points/value!!

Answer:

B. a group of data points around a value

Step-by-step explanation:

A cluster in math is when data is clustered or assembled around one particular value.

Find the surface area of the triangular prism

Answers

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524

plss help me il mark you brainly

Answers

Answer:

thisl give u extra credit: 2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Answer:

1. 78.54 (area)

2. 25.13 (circumference)

3. 4.5 (radius)

4. 13 (diameter)

Step-by-step explanation:

A rectangle has a length of √7 meters and a width of (2√5 - √15) meters. What is its area?

Answers

Topic :-

Mensuration

Given :-

A rectangle has length of √7 meters and width of ( 2√5 - √15 ) meters.

To Find :-

Area of rectangle.

Formula to be Used :-

[tex]\boxed{Area\:of\:rectangle=Length \times Width}[/tex]

Solution :-

It is given that,

Length = √7 meters

Width = ( 2√5 - √15 ) meters

Applying formula,

Area = Length × Width

Area = √7 × ( 2√5 - √15 ) sq. meters

Area = ( 2√5 × √7 - √15 × √7 ) sq. meters

Area = ( 2√( 5 × 7 ) - √( 15 × 7 ) ) sq. meters

Area = ( 2√35 - √105 ) sq. meters

Answer :-

So, area of given rectangle is

( 2√35 - √105 ) sq. meters

Area of rectangle = Length x Width

√7 x (2√5 - √15)

= 2√35 - √105 m²

Hope it helps!

Solve for w.

2w+8=13

Answers

2w + 8 = 13
Subtract 8 from both sides.
2w = 5
Divide both sides by 2.
w = 5/2

Answer:

w = 2.5

Step-by-step explanation:

do minus 8 on both sides making the formula

2w =5

then divide both sides by two so the 2w is now just w making it

w = 5÷2

w = 2.5

1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day

Answers

Answer:

1152 tons of grains

Step-by-step explanation:

We are told in the above question:

Total number of grains = 1440 tons of grain

On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.

Hence,

The number of grains brought in during the first day = 80% × 1440 tons

= 80/100 × 1440 tons

= 1152 tons of grains

what are the missing values, and what is the equation for the table

Answers

Answer:

Step-by-step explanation:

This is a linear equation. Mx+b=y.

m=slope

x=x coordinate

y=y coordinate

b=y intercept (where x=0)

For this problem, you need to plug in 2 "coordinates", ex (1,16), and (0,__). You would need to find the slope, which would be y2-y1/x2-x1 (find two "coordinates" and then put it in, order doesn't matter.)

Hope this helps!

9514 1404 393

Answer:

see attached for table valuesexponential equation: y = 8·2^x; linear equation: y = 60x -44

Step-by-step explanation:

Two points are not sufficient to define a graph, so the equation could be anything that gives the listed values.

We note that the given y-values are powers of 2. Specifically, they are 2^4 and 2^8. These powers differ by 4, just as the corresponding x-values differ by 4. This suggests an exponential equation might be good fit:

  y = 2^(x+3)

Simplified, this is ...

  y = 8·2^x . . . . . exponential equation for table values

__

Alternate solution

Often, when only two points are given, a linear function is indicated. We can use the two given points in the 2-point form of the equation for a line to find what the linear equation might be.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (256 -16)/(5 -1)(x -1) +16 . . . . with values filled in

  y = 240/4(x -1) +16 . . . . . . . . . . . find the ratio

  y = 60x -60 +16 . . . . . . . . . . . . . eliminate parentheses

  y = 60x -44 . . . . . linear equation for table values

__

The two answers we looked at here are shown in the attached table. There are an infinite number of other possibilities.

Find the are of the circle use 3.14 and round to your nearest hundredth using 14m

Answers

Answer:

The question is incorrect. Please rewrite the question.

The difference of x and 4 (Algebraic expression)

Answers

Answer:

x - 4

Step-by-step explanation:

The difference means subtraction

The algebraic expression of the phrase is x-4.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given phrase:

The difference of x and 4.

Here, we have the phrase difference.

So, we will use the subtraction operation.

So, the algebraic expression,

x - 4.

Therefore, x -4 is the algebraic expression.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

What is the quotient of the complex numbers below? (5-5i) - (3 - i) ©
A. 1 + i
B. 1 - i
C. 2 + i
D. 2 - i​

Answers

Answer:

2-4i

Step-by-step explanation:

(5-5i)-(3-i)=5-3-5i-(-i)=2-5i+i=2-4i

Answer:

the answer is D.2-i

Step-by-step explanation:

5-5i-3+i

4-2i

2-i

Which of the following interpretations for the given expression is correct?



A.
The sum of 2 and the quotient of 9 and 3.

B.
The product of 2 + 9 and 3.

C.
The quotient of 2 + 9 and 3.

D.
The sum of 2 and the product of 9 and 3.

Answers

Answer:

the answer is the quotient of 2+9 and 3

You want to have $10,000 in your account after five years. Find the amount your initial deposit should be if the account pays 3.5% annual interest compounded monthly.

Answers

Answer:  8396.71

Step-by-step explanation:

Find the number of terms and the degree of this polynomial. -9
[tex]9 {r}^{9} [/tex]
Number of terms: Degree: ​

Answers

Answers:

Number of terms: 1Degree:  9

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

Explanation:

This is consider a monomial since we only have one term. Terms are separated by a plus sign, so something like 5x^2+10x has two terms.

The degree of a polynomial is the largest exponent when dealing with single variables. In the case of 9r^9, the largest exponent is 9, so the degree is 9. Going back to an example like 5x^2+10x, the largest exponent is 2 so this is the degree of this example.

will give you brianlist

Answers

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

2x – 5 > 3 or 11 – 3x > -2

Answers

Answer:

x > 4 and x <3

Step-by-step explanation:

Given the system of inequalities

2x – 5 > 3 or 11 – 3x > -2

for 2x – 5 > 3

2x > 3+5

2x>8

x>8/2

x> 4

For 11-3x > -2

-3x > 2-11

-3x > -9

x < -9/-3

x<3

hence the result will be x > 4 and x <3

if 49 = 7 and 7 = 3 + 4, then 49 = 3 + 4

Answers

Answer:

49 = (3 + 4)²

Step-by-step explanation:

note that 49 = 7² , then

49 = (3 + 4)²

find the area of the figure

Answers

Answer:

24 sq units

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

The boxes that only have a half-shaded in can be counted as 0.5.

If you combine these half-shaded boxes, it will give you 1.

Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.

Add this to the 20 whole boxes, and you will get 24.

what is -6x - 8 < 4
on a number line

Answers

Answer:

x > -2

Step-by-step explanation:

-6x - 8 < 4

-6x < 12

x > -2

It would be x > - 2
Hope this helps

Factor 60 - 36w to identify the equivalent
expressions.​

Answers

Answer:

Step-by-step explanation:

−36w+60

=12(−3w+5)

12(−3w+5)

You are reading a new book. On Monday you read 3 pages. On each day after that, you read 3 times the number of pages you read on the previous day. How many pages do you read on Thursday?

pages plz answer me

Answers

81 pages.

Step-by-step explanation:

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

Answer:

81

Step-by-step explanation:

3x3x3x3

Shane took out a 5.5-year loan from the bank in order to purchase at $12,000 motorcycle. At the end of the loan, he had paid $3267 in interest. Find the interest rate. Help me please

Answers

Answer:

4.95%

Step-by-step explanation:

3,267 ÷ 5.5 = $594 interest per year

$594 ÷ $12,000 = 0.0495 aka 4.95%

Find the values of x and y if l // m.
Show all work.

Answers

Answer:

x = 7, y = 24

Step-by-step explanation:

23x -16 + 8x - 21 = 180 because they are supplementary angles

31x - 37 = 180

31x = 217

x = 7

23(7)-16 = 7y - 23 because they are vertical angles

168 = 7y

y = 24

Michael Had a birthday party. She bought a bag of candy with 96 starbursts, 72 Hershey's, and 68 Reese's. She wanted to use all the candy she bought to make goody bags with the same amount of starbursts, Hershey's and Reese's in each bag. What is the largest number of bags she can make

Answers

Answer: 68 bags.

Step-by-step explanation: She make 68 bags before the Reese's run out.

hope this helps :)

Other Questions
In Exercises 11 and 12, determine if b is a linear combination of a1, a2, and a3 11. a1 a2 12. a a2 a3 . In The Austerity Delusion Prof. Blyth notes that Canada "was able to cut and grow in the 1980s," (a) Use the IS curve to briefly explain this result from the perspective of an austerity supporter (b) Use the IS curve to briefly summarize Prof. Blyth's explanation of Canada's ex (c) What role do unions play in the success of the success of the mechanism you perience. discussed in part 2(b) According to the text, the greatest need in developing countries in regard to family planning isa. access.b. education.c. keeping men out of the decisions.d. providing women with an incentive. consensus an impression an attitude a dispositional cause a stereotype a. impressions b. a stereotype c. consensus d. an attitude. In the sentence " The skaters put on a very exciting show," which of the words is an adverb TransTech sells its product for $150. Marginal cost is a constant $120 per unit and fixed costs are $71,250.1. What is the breakeven quantity? Please specify your answer as an integer. to find the shortest path so that each vertice is visited in an algorithm where you check all combinations, your big o would be? Henry Ossawa Tanner's The Banjo Lesson challenges negative stereotypes of African-Americans. T/F what type of crosslinking in distilled water vs tap water a(n) ________ differs from an entrepreneurial venture in that it is not managed aggressively, and its owners expect normal, moderate levels of sales, profits, and growth. the mechanical response to a repeating sinusoidal input force will probably be Suppose that f(x,y) = x^2+y^2 at which 0 x,y and 5x+7y 7Absolute minimum of f(x,y) is :Absolute maximum of f(x,y) is : when a 3.0-f capacitor is connected to a generator whose rms output is 29 v, the current in the circuit is observed to be 0.40 a. what is the frequency of the source? hz At what payout percentage is a stock dividend typically considered a stock split, in accordance with the recommendation of the Financial Accounting Standards Board? a) 10%. b) 15%. c) 25%. d) 33%. in a shicking accident when green writes about jeromes father being killed by a falling pig heis using humor of long term compressive strength of concrete using type iii portland cement is higher than with type i portland cement (general purpose). True or false ? Which Enlightenment philosopher believed that if the people did not like their government they had the right overthrow it? A. Hobbes B. Locke C. Rousseau Which of the following sequences is the correct flow of blood through the liver to the inferior vena cava?Hepatic artery and hepatic portal vein - portal triad - hepatic sinusoids - central vein - hepatic vein Mendel chose to study traits that are inherited in a discrete fashion. What does this mean?A) He studied traits that came in distinct formsB) He studied genes that he knew were on separate chromosomesC) He studied traits that affected only one part of his experimental organism.D) He study traits that did not affect organism viability Why do tides have a regular cycle of 12 hours even though the Moon completes one revolution of the Earth every 29.5 days?(HELP PLEASE!!)A. The Earth is rotating and completes a rotation every 24 hours. As it rotates, its distance from the Moon changes every 12 hours. This causes the cycle of high and low tide.B. The Earth is rotating and completes a rotation every 24 hours. The moon also rotates as it resolves around Earth, which causes the cycle of high and low tide.C. The Earth is rotating and completes a rotation every 24 hours. This means that the side of the Earth far from the Moon will be near the Moon 12 hours later, restarting the cycle of high and low tide.D. The Earth is rotating and completes a rotation every 24 hours. This causes day and night to occur. High tide only occurs during the evening, and low tide only occurs during the day.