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Komok [63]
3 years ago
14

What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to 5

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer: The polynomial

= y² - 5y - 4.

Step-by-step explanation:

Let the polynomial = f(y)

Therefore

y² -5y + 1 - f(y) = 5

f(y) = y² - 5y + 1 - 5

f(y) = y² - 5y - 4

The polynomial = y² - 5y - 4.

Check:

y² - 5y + 1 - ( y² - 5y - 4)

Open the bracket with the minus

y² - 5y + 1 - y² + 5y + 4

y² - y² - 5y + 5y + 1 + 4

= 0 - 0 + 5

= 5.

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A British company is sending you measurements for a table to build in your factory. The table top must be 50 cm × 75 cm. Your ma
IRINA_888 [86]

<u>Answer:</u>

19.5 x 29.25 inches

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

We are given that the top of the table, which we are to build in our factory must of the the dimension 50 cm x 75 cm.

Also, out machine is calibrated in inches. So to find the size of the table in the inches, we need to multiply the given dimensions of the table top with the scale (1 cm = 0.39 inches)

50 cm ---> 50 x 0.39 = 19.5 inches

75 cm ---> 78 x 0.39 = 29.25 inches

Therefore, the dimensions of the table in inches are 19.5 x 29.25 inches.

3 0
3 years ago
If OB= 17 and AB = 30, then OR =
Novay_Z [31]
The correct answer is 8
Because
In triangle ORB
OR=(OB^2-RB^2)^1/2
OR=(17^2-15^2)^1/2
OR=(289-225)^1/2
OR=(64)^1/2
OR=8
RB=AB/2 so I kept its value 15 and ^1/2 refers to square root
6 0
3 years ago
Read 2 more answers
Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
3 years ago
I was told that the answer to this is -7 but I don't understand how to get there.
Amiraneli [1.4K]

Answer:

The answer to your question is: - 7

Step-by-step explanation:

                                            3125 = (- 1  - 18t) ⁵/³

                                            (3125)³ = ( -1 - 18t)⁵

                                            (3125)³/⁵ = - 1 - 18t

                                            125 = - 1 - 18t

                                            125 + 1 = - 18t

                                            126 = - 18t

                                            t = 126 / -18

                                            t = -7

3125³ = 3.0518 x 10¹⁰

\sqrt[5]{3.0518 x 10¹⁰} = 125

                       

6 0
3 years ago
Five and three sixths minus two and one third
Daniel [21]

Answer:

19/6

Step-by-step explanation:

5 3/6 - 2 1/3 = 19/6

8 0
3 years ago
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