A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3

Answers

Answer 1

Answer:(b) step 1

Step-by-step explanation:

Answer 2

The wrong step in the student's workings is step 1

How to determine the wrong step?

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

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Related Questions

Please help. Will give brain!!

Answers

Answer: I believe it's 5 I am not sure

Step-by-step explanation:

I’ll say they answer is 5

⚠️⚠️!!!HELPPPP!!⚠️⚠️
⚠️⚠️HURRY⚠️⚠️
⚠️⚠️WILL GIVE 10 BRAINLYY⚠️⚠️

Answers

Answer:

side 'c' is the hypotenuse

side 'c' is the longest

sides 'a' and 'b' are both considered 'legs'

side 'c' is opposite the right angle

Step-by-step explanation:

the hypotenuse is always opposite the right angle

the hypotenuse is always the longest side

Answer:

■ The hypotenuse is c, or in other words, the diagonal.

■ The longest side is c, or in other words, the hypotenuse.

■ The side that is a leg includes both a & b.

■ The side that is opposite the right angle is c, or in other words, the hypotenuse.

So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.
thanks in Advance​

Answers

Answer:

Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:

Area of a square:

(Side length)² = 22² = 484 square inches

Area of a circle with a diameter of 22inch:

3'14 · (radius)² = 3'14 · 11² = 379'94 square inches

Since we have half a circle, the total areas to add will be:

1/2 · 379'94 + 484 = 673'97

Step-by-step explanation:

1/4 divided by 1/13 please help !

Answers

Answer:

13/4

Step-by-step explanation:

We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4

Answer:

3 1/4

Step-by-step explanation:

[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]

Find The are of the shaded region

Answers

Answer:

the one you have highlighted is correct

Step-by-step explanation:

There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction

Answers

Answer:

1:3

Step-by-step explanation:

Given that,

Total no. of boys = 5

Total no. of girls = 10

We need to find the ratio of the number of boys in the club to the total number of students in the club.

Total no. of students = no. of girls + no. of boys

= 5 +10

= 15

Ratio,

[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]

Hence, the required ratio is 1/3 or one third.

Answer:

1/3

Step-by-step explanation:

What percent of this grid is shaded?

The image shows a grid that has 10 columns and 10 rows making 100 equal-sized squares. Seven columns are completely shaded and 6 squares in the eighth column are shaded.

A. 76%
B. 19/20%
C. 76/100%
D. 24%

Answers

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded

if a desktop computer costs $800 and a tablet costs $400, how can someone determine how many of each they can buy with $20000?

Answers

Answer:

it depends how many of each you want, you would take $800 for the price of the item or $400. then x for the amount of items you need.  then put that all over your total and divide.

so it would look like this

Step-by-step explanation:

800(x)

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

20,000

A right triangle has legs of lengths 24 and 23 inches. Find the length of
the hypotenuse (nearest tenth).
label required

Answers

Answer:

33.2

Step-by-step explanation:

24²+²23²=1105

Square root of 33.2415

=33.2

divide round and nearest hundredths place 4.05 / 0.07 ​

Answers

Answer:

divide round and nearest hundredths place 4.05 / 0.07 ​the answer would be:

57.86

Np.

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

and

5(3x+4) -2x = 7x -3(-2x+11)​

Answers

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

The revenue from selling x tickets to a concert is the represented by the function r(x)=10x. The cost for buying tickets is represented by the function c(x) = 8x+40. The profit made from selling the tickets is represented by the function p(x) = r(x) - c(x). What is p(100)? *

Answers

Step-by-step explanation:

All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.

[tex]p(x) = 10x - (8x+40) = 10x - 8x - 40[/tex]

We can then substitute 100 for x and solve.

[tex]p(100) = 10(100) - 8(100) - 40[/tex]


I am a number. I am the
difference between the side
length of a square with area
81 cm^2 and a square with
area 36 cm^2?

Answers

Answer:

3

Step-by-step explanation:

to find side length of squares take square root of areas

first square side length: 9

second square side length: 6

difference between 9 and 6 is subtraction, 9-6=3

The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.

Find the equation of the parabola

Answers

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )

a(1)=−13
a(n)=a(n−1)+4

find the 2nd term in the sequence

Answers

Answer:

n=2

a(2)= -13(2-1)+4

a(2) = -13(1)+4

= -13+4

= -9

pls help me and hve a nice day ;p

Answers

Step-by-step explanation:

km²

make it braintliest please

if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.

Answers

Answer:

okk thanks for free points

.............

Answer:

1. -2

2. -3

3.

a. 155x+375 >= 900

b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?

Step-by-step explanation:

1. (y-y)/)x-x)

2. same thing

3 a. 155 is the rate, 375 is the starting value

b. subtract 375, divide by 155

what is the value of x

Answers

We need the equation
There is no question?????!!!!!!!!!

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments whose lengths are in the ratio of 1:4. The length of the altitude is 12. How long is the hypotenuse?

Answers

9514 1404 393

Answer:

  30

Step-by-step explanation:

The altitude is the geometric mean of the two segments of the hypotenuse. For some scale factor x, the segments are 1x and 4x, and the altitude is ...

  12 = √((1x)(4x)) = 2x

  6 = x

So, the length of the hypotenuse is ...

  (1x) +(4x) = 5x = 5·6 = 30

The hypotenuse is 30 units long.

Answer:

i got a stank a88 walk

Step-by-step explanation:

9.) The diagram below shows the dimensions of a shelf on a bookcase. What is the measure of storage
space of the shelf in square inches?
6.7 in. / 5.2in. / 4.3in. / 15.5in. / 7.3in. /
A. 66.65 in2
B. 34.7 in?
C. 57.72 in2
D. 47.73 in?

Answers

Answer:

Step-by-step explanation:

so its 15.5 plus 6.7 which equals 22.2 then you multiply 22.2 by 4.3 which is 95.46  the divide by two which gives us are awnser 47.73.

Evaluate 3m - 5 when m=9
Thank you!!’

Answers

3m-5=22

Explanation

3(9)-5
3 times 9 is 27
27 minus 5 is 22

-8 1\2 compare to -9 1\2

Answers

Step-by-step explanation:

-81/2 =-40.5

-91/2 =-45.5

There are 68 female teachers and 29 male teachers at Josie's high school. What is the ratio of the number of female teachers to the total number of teachers?

97:68
29:68
97:87
68:97

Not that hard but I did end up confusing myself.

Answers

i think it’s 68:97 from what i know
68:97 :] 68+29= the total amount of teachers which is 97, the ratio is female teachers:total teachers

I’m supposed to be graphing systems of equations. Can someone explain what to do?

Answers

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Alex can walk 6 miles every 2 hours. How far can he walk in 11 hours?

Answers

Answer:

33

Step-by-step explanation:

Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%

Answers

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]

[tex]\text{Total amount}=15.25+1.0675[/tex]

[tex]\text{Total amount}=16.3175[/tex]

Round to the nearest cent (two decimal places).

[tex]\text{Total amount}\approx 16.32[/tex]

Therefore, the total value is $16.32.

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

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On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?

Answers

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

Gabrielle saves $48 of her monthly paycheck for college.
She earned $120 last month. What percentage of her paycheck
did Gabrielle save? Choices:
20%
40%
35%
70%
(If you answer correctly, you will get 15 and I can answer one of ur questions. ONLY if you get it right)

Answers

Okay so if it’s $48 out of the paycheck then that would be $48 out of $120. So here to find the percentage we need to find out what percentage 48 is of 120. So the $48 saved, would be 40% of the total $120. So the answer is 40%. Hope this helps! :))))

The percentage of Gabrielle paycheck is 40%. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Gabrielle saves $48 of her monthly paycheck for college. She earned $120 last month.

Percentage of paycheck is

48/120 ×100

= 0.4×100

= 40%

Therefore, option B is the correct answer.

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Is 43/96 a rational number 

Answers

Yes it is rational because they are whole numbers and integers
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