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3 years ago

Combine like terms. 3y+3y+5+7x^3-y-6-7x^3

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

Answer:

5y - 1

completely simplified

guapka [62]3 years ago

3 0

Answer:

5y-1

Step-by-step explanation:

3y+3y+5+7x^3-y-6-7x^3

3y+3y-y= 5y

7x^3-7x^3 cancel each other out

5-6= -1

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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)= $2x^{3}-26x-24$

$2x^{3}-26x-24$ =0

$2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\$

$=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\$

$=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\$

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

7 0

4 years ago

Read 2 more answers

What is the area of a circle with a diameter of 12 <br> A:12π<br> B:6π<br> C:36π<br> D:23π

Svetlanka [38]

Answer:

Step-by-step explanation:

area is pi X radius squared

radius is half of diameter

so it is pi X 6²

wich is pi X 36

7 0

3 years ago

Ron is five years older than twice his cousins Pat's age. The sum of their ages is less than 35. What is the minimum age Pat can

Akimi4 [234]

R = 2p + 5
r + p < 35

2p + 5 + p < 35
3p + 5 < 35
3p < 35 - 5
3p < 30
p < 30/3
p < 10.....Pat has to be less then 10

minimum age : 7
maximum age : 9

8 0

4 years ago

How much lace does she uses for he jewel box?

ozzi

4/5 * 5/6 = 4/6 = 2/3
She uses 2/3 yards of lace

8 0

3 years ago

Victor is picking out some movies to rent, and he is primarily interested in comedies and mysteries. He has narrowed down his se

aliya0001 [1]

Answer: 1020 ways

Step-by-step explanation:

Let C= comedy

Let M= Mystery

Number of movies(comedy) = 10

Number of movies (mystery) = 10

The total number of movies from which selection is to be made is 10 + 10

= 20

We want to pick 3 movies from 10 comedies and 10 mysteries with at least one mystery.

The selection will be from;

Unconditional selection - (0 mysteries)

=unconditional selection - ( all comedy included)

= 20C3 - 10C3 For combination, [nCr = n! /(n-r) r! ]

= [20!/(20-3)!3!] - [10!/(10-3)!3!

= (6840/6) - (720/6)

= 1140 - 120

= 1020 ways

3 0

3 years ago