All categories

2 years ago

1. The factors of a2 - 9 are

Mathematics

1 answer:

Mazyrski [523]2 years ago

5 0

Answer:

Step-by-step explanation:

1. (a+3)(a-3) = a²+3a-3a-9 = a²-9

2. a linear equation consists of a polynomial of degree one.

You might be interested in

HELP ME PLEASE, ILL GIVE BRAINLIEST

Elena L [17]

Answer: I helped LOL

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What property was applied to solve the equation below?

scoray [572]

Answer:division property of equality

Step-by-step explanation: Because 0.36x divided by 0.36 is 1x. -1.8 divided by 0.36 is -5. Couuld you give me brainleist

6 0

2 years ago

Read 2 more answers

Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

Priya volunteers at her local library 5 days each week. The round-trip distance from her home to the library is 0.87 miles. How

Sphinxa [80]

Answer:

"Starting today, I need to forget what's gone. Appreciate what still remains and look forward to what's coming next."

"Pain makes you stronger, fear makes you braver, heartbreak makes you wiser."

"I will not allow myself to not feel chosen every single day. And I’ll wait till whenever that is." — Hannah Brown

"Sometimes good things fall apart so better things can come together."

"Live for what today has to offer, not for what yesterday has taken away."

"Accept what is, let go of what was, and have faith in what will be."

"Don't be afraid to start over. It’s a brand new opportunity to rebuild what you truly want."

"Inhale the future, exhale the past."

"Don’t cry because it’s over, smile because it happened."

6 0

3 years ago

Read 2 more answers

In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago