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:

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Related Questions

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 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.

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

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

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

Answers

Answer:

Step-by-step explanation:

−36w+60

=12(−3w+5)

12(−3w+5)

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

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 :)

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.

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:

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

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 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.

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.

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

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 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.

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

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

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!

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

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

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

will give you brianlist

Answers

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

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

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

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;

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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

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

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:

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