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2 years ago

URGENT HELP 100 POINTS!

Mathematics

1 answer:

kherson [118]2 years ago

3 0

Answer:its long b ut i hope it helps:)

Step-by-step explanation:

EVALUATE

(x−1)(x+2)(x+4)

Tick mark Image

SOLUTION STEPS

P(x)=(x+4)(x+2)(x−1)

Apply the distributive property by multiplying each term of x+4 by each term of x+2.

+2x+4x+8)(x−1)

Combine 2x and 4x to get 6x.

+6x+8)(x−1)

Apply the distributive property by multiplying each term of x

+6x+8 by each term of x−1.

−x

+6x

−6x+8x−8

Combine −x

and 6x

to get 5x

+5x

−6x+8x−8

Combine −6x and 8x to get 2x.

+5x

+2x−8

EXPAND

+5x

+2x−8

Tick mark Image

EVALUATE

(x−1)(x+2)(x+4)

Tick mark Image

SOLUTION STEPS

P(x)=(x+4)(x+2)(x−1)

Apply the distributive property by multiplying each term of x+4 by each term of x+2.

+2x+4x+8)(x−1)

Combine 2x and 4x to get 6x.

+6x+8)(x−1)

Apply the distributive property by multiplying each term of x

+6x+8 by each term of x−1.

−x

+6x

−6x+8x−8

Combine −x

and 6x

to get 5x

+5x

−6x+8x−8

Combine −6x and 8x to get 2x.

+5x

+2x−8

EXPAND

+5x

+2x−8

Tick mark Image

SOLUTION STEPS

P(x)=(x+4)(x+2)(x−1)

Apply the distributive property by multiplying each term of x+4 by each term of x+2.

+2x+4x+8)(x−1)

Combine 2x and 4x to get 6x.

+6x+8)(x−1)

Apply the distributive property by multiplying each term of x

+6x+8 by each term of x−1.

−x

+6x

−6x+8x−8

Combine −x

and 6x

to get 5x

+5x

−6x+8x−8

Combine −6x and 8x to get 2x.

+5x

+2x−8

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Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

$^{a}n = ^{a}1 (n - 1)d$

Since we want to determine the 76th term, we are going

to substitute 76 in for <em>n</em> in our explicit formula.

Then, $^{a}1$ will be our first term in our sequence which is 17.

Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have $^{a} 76 = 17 + (76 - 1)(2)$ .

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have $^{a} 76 = 17 + (75)(2)$ .

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have $^{a} 76 = 17 + 150$ .

Now just add to find that $^{a} 76 = 167$ .

So the 76th term is 167.

5 0

4 years ago

Please help me!! I'm terrible at math

Archy [21]

Girl thats so easy i can help you

5 0

4 years ago

A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a st

Softa [21]

Answer:

0.006369

Step-by-step explanation:

Given that a test consists of 10 multiple choice questions, each with five possible answers, one of which is correct.

By mere guessing p = probability for a right answer = 1/5 =0.20

There are two outcomes and each question is independent of the other.

X no of questions right is Bin (10,0.20)

the probability that the student will pass the test

= prob of getting more than 60%

= $P(X\geq 6)$

=0.006369

8 0

4 years ago

If y varies directly as x^2 and y = 72 when x =3, what is the value of y when x = 6?

Komok [63]

Answer:

288

Step-by-step explanation:

$y \alpha x {}^{2}$

then

$y = kx {}^{2}$

72=9k

dividing both side by 9

k=72÷9

$y = 8 {x}^{2}$

y=8×6²

y=8×36

y=288

6 0

4 years ago

Un barco que hace cruceros por el mar Caribe dispone de camarotes de una plaza y de dos plazas. Si en total hay 215 camarotes y

prisoha [69]

Answer:

- There are 71 one-quarter cabins and 144 two-seater cabins on the cruise ship.

- Hay 71 cabinas de un asiento y 144 cabinas de dos asientos en el crucero.

Step-by-step explanation:

English Translation

A ship that cruises in the Caribbean Sea has one and two-seater cabins. If there are 215 cabins and 359 seats in total, find out how many cabins there are of each type.

Let the number of one seater cabins be x

Let the number of two seater cabins be y

There are x seats on the one seater cabins and there are 2y seats in total for the two seater cabins

x + y = 215 (eqn 1)

x + 2y = 359 (eqn 2)

Subtract eqn 1 from eqn 2

y = 359 - 215 = 144

x + y = 215

x = 215 - y = 215 - 144 = 71

There are 71 one-quarter cabins and 144 two-seater cabins on the cruise ship.

In Spanish/En español

Deje que el número de cabinas de un asiento sea x

Deje que el número de cabinas de dos plazas sea y

Hay x asientos en las cabinas de un asiento y hay 2 asientos en total para las cabinas de dos asientos

x + y = 215 (ecuación 1)

x + 2y = 359 (ecuación 2)

Resta la ecuación 1 de la ecuación

2 y = 359 - 215 = 144

x + y = 215

x = 215 - y = 215 - 144 = 71

Hay 71 cabinas de un asiento y 144 cabinas de dos asientos en el crucero.

Hope this Helps!!!

4 0

3 years ago