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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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According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 10
Sphinxa [80]

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

3 0
3 years ago
So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last ye
SOVA2 [1]

53,380 was the average last year .

<u>Step-by-step explanation:</u>

Here we have , So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last year. We need to find that  What was the average last year . Let's find out:

Let the monthly average was last year be x , According to question the average monthly revenue at Lexington Times is 50,711 but , That is 5% less than the monthly average was last year . Following equation for above scenario is :

⇒ x-\frac{5(x)}{100}=50711

⇒ \frac{100x-5x}{100}=50711

⇒ \frac{95x}{100}=50711

⇒ \frac{95x(100)}{100(95)}=\frac{50711(100)}{95}

⇒ x=\frac{50711(100)}{95}

⇒ x=53380

Therefore , 53,380 was the average last year .

7 0
3 years ago
Simplify -5xy+6xy-3y+4y+x^2​
Nutka1998 [239]
Answer is x^2+xy+y if the answer is correct then give me a thank
5 0
3 years ago
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A medicine is known to decompose and become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more. Write an
Ludmilka [50]

Answer: Interval = [103,∞)

Explanation :

A medicine become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more .

So, Interval becomes [103,∞)

i.e. semi-open or semi-closed interval as it includes 103\textdegree

So, we used closed brackets i.e. square brackets and

For '∞' we always use open brackets only.

5 0
3 years ago
A caterpillar moves across the grass at a rate of 4 feet every 7 minutes. How fast does the caterpillar move in feet per minute?
Alla [95]

Answer:

0.57 feet per minute.

Step-by-step explanation:

If the caterpillar moves 4 feet every 7 minutes, it can be written as a ratio: 4/7. When you divide 4 by 7, you'll find the feet per minute rate.

7 0
2 years ago
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