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3 years ago

What is the simplest form of this expression? -(х – 2)(3х2 + 4х-5)

Mathematics

2 answers:

jekas [21]3 years ago

8 0

C.
(-x+2) (3x^2 + 4x-5)
-3x^3 -4x^2 + 5x (distributing (-x) into everything)
6x^2 + 8x -10 (distributing 2 into everything)
-3x^3 +2x^2 +13x - 10... (adding like terms)
Answer choice C

skad [1K]3 years ago

7 0

Answer:

Step-by-step explanation:

3x^2 * -x =-3x^3

3x^2 * 2. =6x^2

4x* -x =-4x^2

4x * 2 = 8x

-5 * -x = 5x

-5 * 2 = -10

6x^2 + -4x^2 = 2x^2

8x+5x = 13 x

Ans: -3x^3 + 2x^2 + 13x -10

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Galina-37 [17]

Answer:

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2 years ago

A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble. HINT (See Example 7.] H

Murljashka [212]

Answer: 35

Step-by-step explanation:

Given : A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble.

Total = 4+2+1+3+1=11

To find sets of four marbles include none of the red ones, we need to exclude red marbles when we count the total number of marbles.

Then, the total marbles(exclude red) =11-4=7

Now, the combination of 7 marbles taking 4 at a time is given by :-

$^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!3!}=35$

Hence, the number of sets of four marbles include none of the red ones = 35

4 0

2 years ago

Substitution Method <br> y=x-4<br> y=4x-10

ira [324]

Answer:

x=2 and y= -2

Step-by-step explanation:

Substitute y=x-4 in second equation

x-4=4x-10

get x terms on one side and numbers on other sides

4x-x=10-4

3x=6

divide 3 on both sides

x=2

substitute x=2 in y=x-4

y=2-4

y= -2

4 0

2 years ago

A survey was conducted with 100 people. 20% said they liked Star Trek , 75% said they liked Star Wars, and 10% said they liked b

Roman55 [17]

Answer:

The probability is 1/4 or 25%

Step-by-step explanation:

Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie

This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both

Let the number of people that liked neither be x

Mathematically, we can have the sum as follows for the set notation;

100 = (75-10) + (20-10) + 10 + x

100 = 65 + 10 + 10 + x

100 = 85 + x

x = 100-85

x = 15

What this mean is that 15 persons liked neither

The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey

Mathematically, that will be 10/100 = 1/10

For the probability that likes neither, we have the number that liked neither as 15

So the probability of selecting someone from here is 15/100 = 3/20

Since we have or between both probabilities, we will need to add both

So, mathematically, we have it that;

3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%

4 0

2 years ago

The drawing plan for an art studio shows a rectangle that is 19.2 inches by 8

vazorg [7]

Answer:

24 ft by 10 ft

240 ft

Step-by-step explanation:

19.2/4 = 4.8

4.8 · 5 = 24

8/4 = 2

2 · 5 = 10

4 0

2 years ago