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2 years ago

What happens to the value of the expression m-10 as m decreases?

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

6 0

Answer:

As m decreases value of the given expression $m^{-10}$ also decreases because the value of the given expression $m^{-10}$ depends only on the value of m.

Step-by-step explanation:

Given expression is $m^{-10}$

<h3>To check what happens to the value of the expression m-10 as m decreases :</h3>

From the given expression $m^{-10}$

we have that as m decreases value of the given expression $m^{-10}$ also decreases because the value of the given expression $m^{-10}$ depends only on the value of m

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

1 year ago

Solve for x. x2 + x - 6 = 0 A. -2, -3 B. -2, 3 C. 2, -3 D. 2, 3

stiv31 [10]

Factor x^2 + x - 6

(x - 2)(x + 3) = 0

Solve for x

Ask yourself; When will (x - 2)(x + 3) equal zero?

When x - 2 = 0 or x + 3 = 0

Then solve for each of the two equations above

<u>Answer: C. 2, -3</u>

5 0

3 years ago

Read 2 more answers

1) Which of the following does not show the Commutative Property of Addition ?

Luda [366]

Answer:

I think it would be c.ab=ba but im not 100% sure

Step-by-step explanation:

4 0

2 years ago

According to the box plot , what is the range and IQR of the data shown ?

vekshin1

Answer:

IQR= 14

Range=18

Hope this helps

6 0

3 years ago

Line b passes through points (5, 5) and (10, 8). Line c passes through points (4, 8) and (1, 13). Are line b and line c parallel

lora16 [44]

Answer:

Step-by-step explanation:

In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.

In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3

Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.

3 0

3 years ago