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3 years ago

If the sum of two expressions is 3x+5 and one expression is 5x-7 what is the other expression

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

Answer:

-2x + 12

Step-by-step explanation:

If we call our other expression y, we can set up an equation tying together 3x + 5, y, and 5x - 7:

$(5x-7)+y=3x+5$

Solving for y by subtracting 5x - 7 from both sides will get us the expression we're looking for:

$y=3x+5-(5x-7)\\y=3x+5-5x+7\\y=-2x+12$

So the other expression in the sum is -2x + 12.

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In a competition between players X and Y, the first player to win three games in a row or a total of four games wins. How many w

OLEGan [10]

Answer:

The competition can be played in 7 different ways

Step-by-step explanation:

First game : X

Second game : Y

Third game : Y

After that either X or Y can win

<h3>¹Case - 1: Y wins the fourth game:</h3>

The competition ends with Y winning as he/she won 3 games in a row

<h3>Case - 2: X wins the fourth game:</h3>

more games are required to decide the winner

<h3>Sub-case - a: X wins the fifth game:</h3>

more games are required to decide the winner

<h3>²Sub-sub-case - i: X wins the sixth game:</h3>

The competition ends with X winning as he/she won 3 games in a row

<h3>³⁻⁴Sub-sub-case - ii: Y wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

<h3>Sub-case - b: Y wins the fifth game:</h3>

more games are required to decide the winner

<h3>⁵Sub-sub-case - i: Y wins the sixth game:</h3>

The competition ends with Y winning as he/she won 4 games in total

<h3>⁶⁻⁷Sub-sub-case - ii: X wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

∴<u>The competition can be played in 7 different ways</u>

7 0

3 years ago

The perimeter of a square is 36<br>what is the area of the square?

zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0

3 years ago

Which equation is not a linear function:<br> y=2x<br> y=x+2<br> y=x-2<br> y=x²

padilas [110]

Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

4 0

3 years ago

Without using a calculator, order the following numbers from least to greatest

SpyIntel [72]

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

8 0

3 years ago

I’ll give points + brainalist for correct answer (:

sweet-ann [11.9K]

Answer:

C) 2

Step-by-step explanation:

Emma: Range = 8

Arianna: Range = 6

The difference in the range is 2 (8-6)

6 0

3 years ago

Read 2 more answers