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3 years ago

Express as a trinomial (2x+8)(x-3)

Mathematics

2 answers:

Luden [163]3 years ago

8 0

Answer:

$\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24$

LuckyWell [14K]3 years ago

8 0

Answer:

2x^2+2x-24

Step-by-step explanation:

when you see two parentheses, you should first think : FOIL!

you take the First terms in each of the parentheses which is 2x and x and multiply them. (2x^2)

then you take the Outer terms in the parenthesis which is 2x and -3 and multiply them. (-6x)

then you take the Inside terms which is +8 and x and multiply them. (+8x)

lastly, you take the Last terms which is +8 and -3 and multiply them. (-24)

you should get this : 2x^2-6x+8x-24. combine like terms and there's your answer!

i also advise you to write down all your terms until you are familiar with this foil stuff. don't be ashamed if you need to write them down! you'll get the hang of it! :)

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6. In right triangle ABC, mZC=3y-10,

lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

$90\°+(y+40)\°+(3y-10)\°=180\°$

Solve for y

$4y+120=180$

$4y=180-120$

$4y=60$

$y=15$

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0

2 years ago

Cody wants to watch a new movie that is 3 hours long. He has watched 1/6 of the movie so far. What fraction of one hour did Cody

lesya692 [45]

What we know:
1/6 = what Cody wathed
1 stands for the unit that cody has watched a move (minutes)
6 = stands for the entire length of the movie (minutes)

Tharefore: If 6 stands for the entire length of the movie the movie is equal to 3 hours. However we are giving the unit in minutes not in hours, it would be:
3 x 60 = 3 stands for the ours 60 stands for minutes in an hour. That equals to 180.
This means that the 6 = 100% = 180min of the movie.

To figure what 1 stands for we need to divide 1/6. That will equal to 0.1(6). 0.1(6) x 180 (minutes of the entire movie) = 30 which would be the answer. Here is what you should have done using mathematical communication:

converting 3 h to minutes:

3 x 60 = 180 minutes
180 = the length of the entire movie
1/6 = 0.1(6)
0.1(6) x 180 = 30
... 30 /180 is the fraction of minutes that Cody spend watching the movie
in other words Cody just spent 30 min watching the movie.

5 0

3 years ago

Read 2 more answers

Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe

Lerok [7]

Caitlin has 27 $5 bills and 54 $10 bills.

Step-by-step explanation:

Given,

Worth of $5 and $10 bills = $675

Let,

Number of $5 bills = x

Number of $10 bills = y

According to given statement;

5x+10y=675 Eqn 1

She has twice as many $10 bills as $5 bills.

y=2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$5x+10(2x)=675\\5x+20x=675\\25x=675$

Dividing both sides by 25

$\frac{25x}{25}=\frac{675}{25}\\x=27$

Putting x=27 in Eqn 2

$y=2(27)\\y=54$

Caitlin has 27 $5 bills and 54 $10 bills.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

Which expression is the factorization of x2 + 10x + 21? (x + 3)(x + 7) (x + 4)(x + 6) (x + 6)(x + 15) (x + 7)(x + 14)

Vadim26 [7]

Answer: First option.

Step-by-step explanation:

You need to remember that to factorize the given expression $x^2+10x+21$ , you need to choose two numbers that when you add them you get "10" and when you multiply them you get "21".

These number are:

7 and 3

Because:

$7+3=10\\7*3=21$

Therefore, you get that the factorization of the expression $x^2+10x+21$ is the following:

$(x+3)(x+7)$

You can observe that this factorization matches with the first option.

5 0

3 years ago

Read 2 more answers

in a random sample of 45 endangered species, 12 are categorized as vulnerable, 11 are categorized as endangered, and 22 are cate

horrorfan [7]

The probability that the randomly selected sample is vulnerable or critically endangered is equal to 0.76

The probability can be determined using the following formula;

probability = number of desired events or outcomes ÷ total number of events or outcomes

The total is known to be 45, the favorable or desired outcomes can be calculated as follows;

number of desired outcomes = number of vulnerable species + number of critically endangered species

number of desired outcomes = 12 + 22

number of desired outcomes = 34

Now we calculate the probability by using the above formula;

probability = 34 ÷ 45

probability = 0.76

Therefore, 0.76 is the probability that the randomly selected species is vulnerable or critically endangered.

Although a part of your question is missing, you might be referring to this question:

In a random sample of 45 endangered species, 12 are categorized as vulnerable, 11 are categorized as endangered, and 22 are categorized as critically endangered. what is the probability that a randomly selected species from this sample is vulnerable or critically endangered? group of answer choices

11/45

0.24

0.83

0.76

12/45

To learn more about probability, click here:

brainly.com/question/24756209

#SPJ4

8 0

10 months ago