PLEASE SIMPLIFY THESE
a) 2.56x+0.14−1.87x
b) 7.32a+2.1∙(2.7−18a)
c) 0.12x+0.34y+0.98x−3.35y
THANK YOU

a. 0.69x + 0.14

b. 5.67 - 30.48a

c. 1.1x - 3.01y

Step-by-step explanation:

a) 2.56x + 0.14 − 1.87x

To simplify this algebraic expression, you start by collecting like terms;

2.56x − 1.87x  + 0.14

Then perform arithmetic operation

0.69x + 0.14

b) 7.32a + 2.1 (2.7 − 18a)

Here; first, the bracket must be opened

To open the bracket; each expression in the bracket is multiplied by 2.1. This leaves us with

7.32a + 2.1 * 2.7 − 2.1 * 18a

7.32a + 5.67 - 37.8a

Then, you collect like terms

7.32a - 37.8a + 5.67

Then perform arithmetic operation

-30.48a + 5.67

Rearrange

5.67 - 30.48a

c) 0.12x + 0.34y + 0.98x − 3.35y

Here, you start by collecting like terms

0.12x + 0.98x + 0.34y − 3.35y

Then perform arithmetic operation

1.1x - 3.01y

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: