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3 years ago

Help with limits will give brainliest

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Step-by-step explanation:

option c is correct....

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I will give brainliest to best answer<br>Factorise completely (3x^2-5y^2)

Artemon [7]

<h2><em>we can write (3x^2-5y^2) as (3x-5y)^2</em></h2><h2><em>( 3 x − 5 y ) 2 as ( 3 x− 5 y ) ( 3 x− 5 y )</em></h2><h2><em>3 x ( 3 x − 5 y ) − 5 y ( 3x −5 y )</em></h2><h2><em>3 x ( 3 x − 5 y ) − 5 y (3 x − 5 y )</em></h2><h2><em>3 x ( 3 x ) + 3 x ( − 5y ) − 5 y ( 3 x ) − 5 y( -5 y )</em></h2><h2><em>9 x 2 − 15 x y − 15y x + 25 y 2 </em></h2><h2><em> Subtract 15 y x from − 15 x y .</em></h2><h2><em>9 x 2 − 30 xy + 25 y 2</em></h2><h2><em> HOPE IT HELPS(◕‿◕✿) </em></h2><h2><em> SMILE!! </em></h2>

6 0

3 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

| 2 -5 3 0

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

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

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

a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.

ohaa [14]

Answer:

dividend

Step-by-step explanation:

The DIVIDEND is the original number, which is being divided by the divisor:

QUOTIENT

------------------------

DIVISOR ) DIVIDEND

6 0

2 years ago

Please help 30 point question

Vika [28.1K]

Answer:

the things wont load whats the question?

Step-by-step explanation:

4 0

2 years ago

Angel bought 8 oranges and 11 Apples for a total $15.22. He knows that each orange costs 0.50 and reasoned that each Apple must

Marysya12 [62]

Yes, it is fairly reasonable... if you round it..

however, if you want exact calculations, then it might not be so reasonable, because it will go over the total amount

so if you round it, then yes it is fairly reasonable

4 0

3 years ago

Read 2 more answers