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2 years ago

Determine the smallest integer that makes – 3.2 + 7 - 52 < 15 true.

Mathematics

1 answer:

Natalija [7]2 years ago

3 0

Answer:

-3.2 is the smallest integer

Step-by-step explanation:

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WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

2 years ago

one possible combination of homeroom groups is 18 groups of 10 students and 5 groups of 12 students. which equation uses the x =

vfiekz [6]

Answer: y - 5 = -5/6 (x - 18)

Step-by-step explanation:

The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.

Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).

6 0

3 years ago

How can you simplify algebraic expressions

xenn [34]

Answer:

Algebraic expressions are simplified by using given operators

like as arithmetic

But in algebraic expression there are terms

5 0

2 years ago

How many whole numbers are there up to 100, including 100?

vladimir2022 [97]

Answer:

100

Step-by-step explanation:

because... LOGIC

5 0

3 years ago

This so fking confusing

love history [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers