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3 years ago

1. Solve the following

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Step-by-step explanation:

1. Solve the following (2x a) The sides of rectangle are -a? + 15b and 5ab + 4a'. Find its ...

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What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)

tino4ka555 [31]

Answer:

x=7/2 x=7/3

Step-by-step explanation:

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3 years ago

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr

Gelneren [198K]

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

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4 years ago

Read 2 more answers

Brianna's teacher asks her if these two expressions 3r +5 and 4r are equivalent.

sukhopar [10]

Answer:

If Brianna's (I'll call her Bri in this situation) teacher says 3r + 5 and 4r are equal, you should definatly start by adding the 'r' value to the 3, which would be 8 afterwards. Bri is then incorrect because 4+5=9, and 9 is greater than 8, so Bri is wrong :'(...

Have a good day fellow lad,

AshlynnXOXO

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3 years ago

Missy and Randy started at opposite ends of Otter Creek Trial and hiked toward each. Missy walked at 2 miles per hour while Rand

andreyandreev [35.5K]

M=-3.5+2t, R=-3t when they meet M=R so

-3.5+2t=-3t

-3.5+5t=0

5t=3.5

t=0.7 hrs (42 minutes)

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3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.

andreyandreev [35.5K]

The products of the polynomials are:

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
(x - y) * (x + 3y) = x² + 2xy + 3y²
(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6
(x + 3y) * (x – 3y) = x² - 9y²

<h3>How to evaluate the products?</h3>

To do this, we multiply each pair of polynomial as follows:

Pair 1: (xy + 9y + 2) and (xy – 3)

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

Pair 2: (2xy + x + y) and (3xy² - y)

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

Pair 3: (x – y) and (x + 3y)

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

Pair 4: (xy + 3x + 2) and (xy – 9)

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9) = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18

Pair 5: (x² + 3xy - 2) and (xy + 3)

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6

Pair 6: (x + 3y) and (x – 3y)

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²