<img src="https://tex.z-dn.net/?f=%20%7B40a%7D%5E%7B2%7D%20%20%2B%2020a%20-%2030%20%3D%20%28%20-%201%29%28%20%20%7B15a%7D%5E%7B3

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Klio2033 [76]

3 years ago

%7D%20%2B%2030%29%20" id="TexFormula1" title=" {40a}^{2} + 20a - 30 = ( - 1)( {15a}^{3} + 30) " alt=" {40a}^{2} + 20a - 30 = ( - 1)( {15a}^{3} + 30) " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

$\bf 40a^2+20a-30=(-1)(15a^3+30)\implies 40a^2+20a~~\begin{matrix} -30 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~=-15a^3~~\begin{matrix} -30 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \\\\\\ 40a^2+20a=-15a^3\implies 15a^3+40a^2+20a=0\implies 5a(3a^2+8a+4)=0 \\\\\\ 5a(3a+2)(a+2)=0\implies a= \begin{cases} 0\\ -\frac{2}{3}\\ -2 \end{cases}$

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Item 3

Kruka [31]

Answer:

The given system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................ (1)

2 x + 3 y = 15 ............... (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2 we get,

(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)

Add (1) and (3), we get:

4 x + 2 y -4x - 6y = 18 -30

or, - 4 y = - 12

or, y = 12/4 = 3 ⇒ y = 3

Putting in (1), we get

4x + 2(3) = 18 or, 4x = 18 - 6 = 12

or, x = 3

(x,y) = (3,3)

Hence, the above system as (3,3) as its solution.

6 0

3 years ago

How do u make 33 and one third a fraction

Alina [70]

33 and one third as a fraction would be either 33 1/3 or 100/3

8 0

3 years ago

Read 2 more answers

Separate the number 41 and the two parts so that the first number is eight more than twice the second number what are the two nu

vesna_86 [32]

The two numbers are 30 and 11

Solution:

Given that we have to separate the number 41 into two parts

Let the second number be "x"

Given that first number is eight more than twice the second number

first number = eight more than twice the second number

first number = 8 + twice the "x"

first number = 8 + 2x

So we can say first number added with second number ends up in 41

first number + second number = 41

8 + 2x + x = 41

8 + 3x = 41

3x = 41 - 8

3x = 33

x = 11

first number = 8 + 2x = 8 + 2(11) = 8 + 22 = 30

Thus the two numbers are 30 and 11

7 0

3 years ago

The first time that Arnold ran for mayor in a small town, he received 5% of the votes. This year, when Arnold ran for mayor agai

sammy [17]

Answer:

20 votes

Step-by-step explanation:

You start with the percents: You always start with 100%

100-5=95

Then you multiply

95 x 4

4 is how many votes he received the 2nd time

95 x 4= 380

Then you subtract

380-360= 20

Your Welcome :)

6 0

2 years ago

The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu

ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

$\frac{340}{1158}=(\frac{x}{y} )^2$

Here x and y are the corresponding sides .

$\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542$

Let the volume of the smaller one be v

$\frac{v}{1712}=0.542^3$

$v=1712*0.542^3=272$

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0

3 years ago