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Snowcat [4.5K]
2 years ago
10

Solve the equation (6x18) (3x + 2) = 0

Mathematics
1 answer:
MariettaO [177]2 years ago
4 0

Answer:

-  \frac{2}{3}

Step-by-step explanation:

Given (6x18)(3x+2) = 0

108(3x + 2) = 0 \\ 324x + 216 = 0 \\ 324x =  - 216 \\ x =  \frac{ - 216}{324}  \\  =  -  \frac{2}{3}

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How can you use mental math to determine that 2800 divide equals 400
AURORKA [14]

2800 ÷ 400

Cross out 2 zeros from both numbers, then you have 28 ÷ 4  = 7

4 0
3 years ago
X+7=4 Algebraic equation
Vaselesa [24]
The answer is x=  

-3

Hope I helped!

5 0
3 years ago
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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5
grandymaker [24]

Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

a_n=-6a_{n-1}, a_1=4.5

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

a_2=-6a_1 \\  \implies \: a_2=-6 \times 4.5 =  - 27

When n=3, we get:

a_3=-6a_2 \\  \implies \: a_3=-6 \times  - 27 =  162

When n=4, we get:

a_4=-6a_3 \\  \implies \: a_4=-6 \times 162 =  - 972

When n=5, we get:

a_5=-6a_4 \\  \implies \: a_5=-6 \times  - 972 = 5832

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

3 0
3 years ago
There are 2000 pounds in a ton how can you write 2000 with and exponent
Makovka662 [10]
In scientific notation, it would be 2x10^3.
An easy trick to help remember when it is a multiple of 10 is that you do the numbers that aren't zero (2) times 10 and the exponent is how ever many zeros there are after the other numbers (3).
3 0
3 years ago
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