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3 years ago

Correct expression for 10 decreased by 3x

Mathematics

2 answers:

liberstina [14]3 years ago

5 0

Answer:

10 - 3x

Step-by-step explanation:

Since the number 10 is decreased by 3x, that would mean the expression is 10 - 3x.

Hope this helped!

Ann [662]3 years ago

5 0

10 - 3x is you answer hope this helped

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)² --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x) --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x) --------(iii)

Step No. 3

Now, we shall simplify the terms within the parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x) --------(iv)

Step No. 4

Now, we shall open the parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8 --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

8 0

3 years ago

Read 2 more answers

The range of a data set is 18. if the smallest number in the set is 9, What is the largest number?

tankabanditka [31]

Range is the difference between the largest and the smallest variable. If the range is 18 and the smallest number is 9. Add 9 to 18.
9+18= 27. 27 is the largest number.

7 0

3 years ago

Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p

OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

$y=a\cdot (1-r\%)^{t}$

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

$y=a\cdot (1-r\%)^{t}$

$=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85$

Thus, the correct option is, Exponential Decay, $23,914.85.

5 0

3 years ago

Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!

Andrei [34K]

Answer:

$P(\text{Male}|\text{Divorced})\approx0.092$

Step-by-step explanation:

$\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092$

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is $\frac{9.6}{104.5}\approx0.092$ , the same value.