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4 years ago

What value of b makes the equation true? -6(b+3)=-8b+5

Mathematics

2 answers:

cluponka [151]4 years ago

7 0

The answer is b= -5/2 hope this helped

Dmitry_Shevchenko [17]4 years ago

6 0

The answer is b= - 5/2

- 6 (b + 3)= - 8 + 5

- 6b - 18= - 3

- 6b= - 3 + 18

- 6b= 15

b= - 15/6

b= - 5/2

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stira [4]

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3 years ago

Find all roots x^3 + 7x^2 + 12x = 0

babunello [35]

Answer:

Therefore the THREE roots are

$x=0\ or\ x=-3\ or x=-4$

Step-by-step explanation:

Given:

$x^{3}+7x^{2} +12x= 0$

To Find:

All the Roots = ?

Solution:

As the degree of the polynomial is THREE then the number of root are also THREE.

$x^{3}+7x^{2} +12x= 0\\\\x(x^{2}+7x +12)= 0\\\\x=0\\or\\x^{2}+7x +12= 0\\$

Now one root is Zero For other we need to Factorize

So by Splitting the middle term

i.e Factor of 12 such that sum should be 7

i.e 3 × 4 = 12 and 3 + 4 = 7

∴ $x^{2}+7x +12= 0\\x^{2}+3x+4x +12= 0\\x(x+3)+4(x+3)=0\\(x+3)(x+4)=0\\\\x+3=0\ or\ x+4 = 0\\\\\therefore x=-3\ or x=-4\ \textrm{Which are the roots}$

Therefore the THREE roots are

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8 0

3 years ago

Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reaso

Dennis_Churaev [7]

Answer:

C (5, -22) is the answer

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3 years ago

What two numbers multiply to get 25 and add to -10

SOVA2 [1]

$x;\ y-the\ numbers\\\\ \left\{\begin{array}{ccc}xy=25\\x+y=-10&\to x=-10-y\end{array}\right\\\\subtitute:\\(-10-y)y=25\\(-10)(y)-y(y)=25\\-10y-y^2=25\\-y^2-10y-25=0\ \ \ \ |change\ the\ signs\\y^2+10y+25=0\\y^2+5y+5y+25=0\\y(y+5)+5(y+5)=0\\(y+5)(y+5)=0\\(y+5)^2=0\iff y+5=0\to \boxed{y=-5}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x=-10-y\\x=-10-(-5)\\x=-10+5\\\boxed{x=-5}\\\\Answer:\boxed{-5\ and\ -5}$

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4 years ago

A page was missing from a 72 - page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missin

morpeh [17]

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8 0

3 years ago