All categories

3 years ago

Which expression is equivalent to (m2p–2r7)(m–5p4r2)?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

=(m2p+−2r7)(m+−5p4r2)

=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)

=m3p−5m2p5r2−2mr7+10p4r9

=10p4r9−5m2p5r2−2mr7+m3p

Step-by-step explanation:

You might be interested in

A collection of quarters, dimes, and nickels is worth $13.30. If the ratio of quarters to

RideAnS [48]

Answer:

105

Step-by-step explanation:

35 quarters ($8.75)

21 dimes ($2.10)

49 nickels ($2.45)

7 0

3 years ago

john spent half of his weekly allowance at the batting cages. to earn more money his parents let him vacuum the house for $6. wh

KATRIN_1 [288]

Answer:

$28

Step-by-step explanation:

First to solve this get the original amount before his parents gave him $6

20-6=14

So he had $14 after spending it at the batting cages.

It is stated he spent half of his money there so multiply 14 by 2

14 x 2=28

So he has a weekly allowance of $28

4 0

3 years ago

The restaurant is trying out a new menu. They asked 25 people if they liked the changes and 19 said they did. The restaurant had

Finger [1]

My best answer is B.) 173. 19/25 = ?/227. 25 times 9.08 = 227 so 9.08 times 19 = 172.52 1 which rounds up to 173

3 0

4 years ago

Find the roots of:

Elena-2011 [213]

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

| 2 -7 8 -3

1 | 2 -5 3

| 2 -5 3 0

1 | 2 -3

2 -3 0

So the factorization is (x-1)² (2x-3)=0. So:

$\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

| 1 -1 0 -4

2 | 2 2

1 2 2 0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

$\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

| 6 7 9 2

-2 | -12 10 -2

6 -5 1 0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

$\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}$

$\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}$

6 0

2 years ago

Which is smaller 1/2 or 3/8

ludmilkaskok [199]

Answer:

3/8 is smaller

Step-by-step explanation:

because it not have of 8 as for 1/2 is half so your answer is 3/8

7 0

3 years ago