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

Simplify 6° = 63

O A. 126

O B. 66

O C. 6-6

O D. 63

Answers

Answer:

i think its c 6-6 so good luck

give the coordinates (1,4) after a translation 3 units up and 2 units to the left.

Answers

Answer:

The coordinates would be (3,7)

m = 3 (4,7)
Wrote the equation of a line using the point slope formula

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

Substitute the values for the variables.

y - 7 = 3(x - 4)

y - 7 = 3x - 12

y = 3x - 5

Answer:

good luck

Step-by-step explanation: you gonna need it UvU

Ms. Speer's spent a total of $120 while online shopping . Out of the total, $84 was spent just on Amazon. The rest was spent on apple. Write and equation to determine how much Ms. Speer spent at Apple. Write your equation below and determine how much she spent at Apple.

Answers

Answer:

$36 (120-84)

Step-by-step explanation:

Apple = 120-84

Apple = 36

Apple = 36

⚠️PLZ HELP⚠️
Triangle ABC is similar to
triangle FGH. What is the
value of x in centimeters?

Answers

X=10 centimeters, because the ratio of the triangles is 3:2, so if the larger one is 15 the smaller x value is 10.

Please help me with this question!!

Answers

Answer:

I think your answer will be acute

Step-by-step explanation:

Answer: if you add all of them up and it is less than a 90 degree angle, it would be acute

Step-by-step explanation:

9+20+14=43

35 - 21 + 6m write a equivalent expression for this

Answers

Answer:

6m+14

Step-by-step explanation:

[tex]35 - 21 + 6m[/tex]

Simplify : Subtract

[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]

Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​

Answers

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?

Solving:

[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]

So, we get x = 71°

Option B is correct answer.

What is the quotient of the fractions below?
1/3 divided by 5/8

Answers

Answer:  8/15

Work Shown:

x = (1/3) divided by (5/8)

x = (1/3) * (8/5)

x = (1*8)/(3*5)

x = 8/15

Answer:

x = 8/15

Step-by-step explanation:

YES

What is the square root of 2 times the square root of 3

Answers

Answer:

square root of 2 times square root of 3

2.44

what is +(-4)? I'm taking a test and I would love some help here please

Answers

Answer:

4

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  -4 and 0 is 4.

Answer:

-4

Step-by-step explanation:

Give the other person brain

Jupiter takes about 12 earth years to revolve around the sun

Answers

Answer:

Yess correct but what is full question

Solve for B -18r+18s=-4

Answers

Answer:

B=-4+18r-18s

Step-by-step explanation:

move all terms not containing B to the right side of the equation. Hope this helps.

A team's total salaries is $4,614,244. The team would like to bring the total down to $3.5 million. What would be the percentage decrease in the team's total salary?

Answers

Answer:

24.14%

Step-by-step explanation:

Given that,

A team's total salaries is $4,614,244.

The team would like to bring the total down to $3.5 million = $3500000

We need to find the percentage decrease in the team's total salary. The percentage decrease/increase in any value is givenby :

[tex]\%=\dfrac{\text{change in population}}{\text{initial population}}\times 100\\\\=\dfrac{3500000-4,614,244}{4,614,244}\times 100\\\\=24.14\%[/tex]

So, the percentage decrease in the team's total salary is 24.14%.

Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?

Answers

Answer:

563.5

Step-by-step explanation:

it's pretty easy ngl

Answer:

563.5

Step-by-step explanation:

Which one is correct please hurry..the audio is just reading the question

Answers

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?

Answers

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

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4^3 + (-2) ^4 = ?
evaluate?

Answers

Answer:

80

Step-by-step explanation:

PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.

7/2x + 1/2x = 10 + 9/2x

Answers

Answer:

x=-1/20

Step-by-step explanation:

7/2x+1/2x=10+9/2x

We move all terms to the left:

7/2x+1/2x-(10+9/2x)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/2x+1/2x-(9/2x+10)=0

We get rid of parentheses

7/2x+1/2x-9/2x-10=0

We multiply all the terms by the denominator

-10*2x+7+1-9=0

We add all the numbers together, and all the variables

-10*2x-1=0

Wy multiply elements

-20x-1=0

We move all terms containing x to the left, all other terms to the right

-20x=1

x=1/-20

x=-1/20

Answer:

[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]

what number is between-3/4 and 5/8​

Answers

Answer: Any number between -6/8 and 5/8, so -5/8, -4/8, -3/8, -2/8, -1/8, 0, 1/8, 2/8 ,3/8, and 4/8.

A helicopter travels 640 miles in 4 hours and 960 miles in 6 hours. Find the slope in miles per hour.

Answers

Answer:

160 miles per hour

Step-by-step explanation:

640/4=160

960/6=160

help please need this answer quickly!!

Answers

Answer:

m<4 = 83

m<1 = 97

Step-by-step explanation:

bduruhrie

Helpppppp please like fr help mee

Answers

Answer:

The time he spent at his friend's house is represented by the horizontal line, from .5 to 1.5 hours, which means he stayed at his friend's house for 1 hour.

Answer:

1 hour

Step-by-step explanation:

1) so lets look at the various aspects of this graph,

the first thing we see is a downhill spike from(0,4) to (0.5,2)

we can assume this segment is from riding to his friends house from school, as thats the first thing stated in this scenario. Next we notice a horizontal line(note: horizontal line means 0 slope, AKA no distance travelled) since Joey is not travelling at this time(hence the horizontal line) we can assume that thats when he was at his friends house. to find the amount of time he was at his friends house simply subtract the endpoints of the horizontal line

so: 1.5-0.5=1

he was at his friends house for 1 hour

Can a triangle can have sides with lengths 2.7, 3.5, and 9.8.

Answers

Answer: No

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

Answer:

no It cant

Step-by-step explanation:

2.7 + 3.5 is not greater than 9.8.

please help asap I'll mark brainliest​

Answers

Answer: G

7/9 yd= 28 in

2.5ft = 30 in

2 2/3 ft= 32 in

33in = 33in

I hope this helps:

 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE

Answers

Answer:

a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]

b) [tex][-\frac{5}{2} ,[/tex] ∞)

Step-by-step explanation:

The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.

a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.

To find this number, we can just take the denominator and solve for x:

[tex]3x + 4 = 0[/tex]

[tex]3x = -4\\x = -\frac{4}{3}[/tex]

Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.

b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.

A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:

[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]

Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).

19. (9x - 4)(x-6)
21. (-5x + 6)(x + 5)
23. (x2 - 8)(x + 4)
25. (x2 + 10x)(x - 3)
Help please!!

Answers

:))))))))))))))))))))))

Which of the following make a right triangle? I really need help thank you

Answers

Answer:

i think its e.. not 100 procent sure but i think it is

Step-by-step explanation:

Answer:

E would be the best answer but not 100%

Step-by-step explanation:

Which expression is undefined?

Answers

Answer:

B is undefined, the rest are equal to zero

Step-by-step explanation:

Identify the x- and y-intercepts of the equation:
6.x + 15y = 60

Answers

Answer:

X intercepts: (10,0)

Y intercepts: (0, 4)

Step-by-step explanation:

Well, in this question , the X intercept is 10,0 while the y intercept is 0,4
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