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matrenka [14]
3 years ago
12

A student performed the following system to find the solution to the equation x2-2x-8=0

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

The student messed up on step one. The proper factoring is (x-4) (x+2)

Vsevolod [243]3 years ago
3 0

Answer:

B. in step 1

Step-by-step explanation:

Given that a student performed the following steps to find the solution of the quadratic equation x^2-2x-8=0.

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.

Now we need to find about which step has the error.

let's multiply (x-4) and (x-2)

we get : (x-4)(x-2)=x^2-4x-2x+8=x^2-8x+8

While original problem has -8 as the last term. So that means factors are wrong.

Hence choice B. in step 1. is correct

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A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more
SashulF [63]

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

\frac{80}{100}x=34\\0.80x=34

Dividing both sides by 0.80

\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50

The original price of sweater is $42.50

85% of y = 34

\frac{85}{100}y=34\\0.85y=34

Dividing both sides by 0.85

\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

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ant Answer:

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Step-by-step explanation:

y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y

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