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2 years ago

9

Andres buys 3 boxes of markers. Each box has the same number of markers. Andres now has 15 markers. Write and solve an equation

to find how many markers are in one box.
help needed ASAP

2 answers:

Sauron [17]2 years ago

6 0

The answer is five because if there are theee boxes of markers and you are left with 15 markers there must have been five in each box for you to get 15.

Goodluck!

irinina [24]2 years ago

3 0

Answer:

The answer is five

Step-by-step explanation:

Because 5 times 3 equals 15.

That's just basic multiplying. (*^*)

Have a good day!

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

Read 2 more answers

The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,

yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

$M = \frac{61+65}{2}\\ M=63$

The first quartile is the average between the 3rd and 4th terms:

$Q_1 = \frac{42+48}{2}\\ Q_1=45$

The third quartile is the average between the 9th and 10th terms:

$Q_3 = \frac{76+78}{2}\\ Q_3=77$

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

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2 years ago

Algebra 1!! Please only answer if you actually know!

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Answer:

9. B

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2 years ago

Lela and Pepe are playing a video game. The ratio of Lela’s game score to Pepe's score is 2 : 5. Then Lela completes a quest and

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Answer: Lela's original score was 16.

Step-by-step explanation:

Alright lets get started.

Suppose Lela score was L.

Suppose Pepe score was P.

The ratio of Lela’s game score to Pepe's score is $2:5$

So the equation will be

$\frac{L}{P} = \frac{2}{5}$

Cross multiplying

$5\times L=2\times P$

$P=\frac{5\times L}{2}$ .................equation 1

Then Lela completes a quest and scores 12 bonus points. The new ratio becomes $7:10$

$\frac{L+12}{P} =\frac{7}{10}$

Cross multiplying

$10(L+12)=7P$

Plugging value of P from equation 1

$10(L+12)= 7\times\frac{5L}{2}$

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$15L=240$

$L=16$

Hence the score of Leela originally was 16. Answer

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3 years ago