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

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.

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]

Answer:

33.2

Step-by-step explanation:

24²+²23²=1105

Square root of 33.2415

=33.2

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.

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

Step-by-step explanation:

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

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]

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

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

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

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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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.

Answer:

the one you have highlighted is correct

Step-by-step explanation:

Answer:

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

57.86

Np.

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!!!!

Step-by-step explanation:

-81/2 =-40.5

-91/2 =-45.5

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded

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:

Step-by-step explanation:

km²

make it braintliest please

Answer:

33

Step-by-step explanation:

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:

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:

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 )

Answer:

They both equal

Step-by-step explanation:

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

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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Answer:

n=2

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

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

= -13+4

= -9

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.

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