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Marat540 [252]
3 years ago
10

Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

{x}^{2}  - 10x = 39

( \frac{  - 10}{2} ) {}^{2}  = 25

{x}^{2}  - 10x + 25 = 64

Step 2: Turn the left side into a binomial

(x - 5) {}^{2}  = 64

Step 3: Solve for x.

x - 5 = +  -  8

x - 5 = 8

x = 13

OR

x - 5 =  - 8

x =  - 3

X=-3 or X=13

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A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
ser-zykov [4K]
I believe it would be 12, I believe this because its states that it is TWICE as long therefore is made from the same metal so 6x2=12 
8 0
3 years ago
Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha
iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

x = time

y = amount

(x,y) = (1,10)

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

(x_1,y_1) = (0,0)

and we have the given point to be:

(x_2,y_2) = (1,10)

Calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{10-0}{1-0}

m = \frac{10}{1}

m = 10

The slope represents $10/1 hour

Hence:

(x,y) = (1,10) means the unit rate is $10 per hour

8 0
3 years ago
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it. she divides the rest of the garden into 6 sections. what fraction
Scrat [10]
To find this answer you will first subtract the two fractions from the original size of one whole garden. After that take the remaining amount and break it into six sections. This answer would represent the fraction of the original garden that is in each section. Here are the steps:
1. Add the two fractions together to get 4/8 or 1/2. This means that half of it is left.

2. Take the 1/2 that remains and divide it by 6 (1/2 divided by 6 = 1/2 x 1/6). The answer is 1/12.

3. 1/12 of the original garden is in each section.
5 0
3 years ago
The price of an item yesterday was $120. Today, the price rose to $294. Find the percentage increase.
Blizzard [7]

Answer:

145%.

Step-by-step explanation:

Given that the price of an item yesterday was $120, and today, the price rose to $294, in order to find the percentage increase, the following calculation has to be made:

120 = 100

294 = X

((294 x 100) / 120) = X

29,400 / 120  = X

245 = X

245 - 100 = 145

Therefore, the percentage increase of the product was of 145%.

5 0
3 years ago
Tom made $32,000 last year. This year he makes $36,000. Find<br> the percent increase in his salary.
elena-14-01-66 [18.8K]
12.5%

Final amount - starting amount / starting amount

36000-32000 / 32000

=12.5%
8 0
3 years ago
Read 2 more answers
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