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4 years ago

Choose a system of equations with the same solution as the following system:

Mathematics

1 answer:

Sunny_sXe [5.5K]4 years ago

6 0

Answer:

x + 2 = 0 and y - 3 = 0

Step-by-step explanation:

We have to find the solution of the system of equations

6x + 2y = - 6 ........... (1)

⇒ 12x + 4y = - 12 .......... (2) and

3x - 4y = - 18 ........... (3)

Now, solving equations (2) and (3) we get,

15x = - 30

⇒ x = - 2

Hence, from equation (1) we get, 2y = - 6 - 6x = - 6 - 6(- 2) = 6

⇒ y = 3

Therefore, the solution of the given system of equations is (-2,3).

Now, x + 2 = 0 and y - 3 = 0 are another system of equations that have the same solutions. (Answer)

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Evaluate g(x)=1/5(1/3)^x for x=2

Shalnov [3]

Answer:

$\frac{1}{45}$

Step-by-step explanation:

Substitute x = 2 into g(x) and evaluate

g(2) = $\frac{1}{5}$ × ( $\frac{1}{3}$ )²

= $\frac{1}{5}$ × $\frac{1}{9}$ = $\frac{1}{45}$

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3 years ago

In Exercise find the derivative of the functions.<br> f(x) = (4x - 3)(x2 + 9)

pashok25 [27]

Answer: $f'(x)=12x^2 - 6x+36$

Step-by-step explanation:

According to the product rule of derivatives.

$f'(x)=u'(x)v(x)+u(x)v'(x)$

The given function : $f(x) = (4x - 3)(x^2 + 9)$

here , $u(x) = 4x - 3$ and $v(x)=x^2 + 9$

Differentiate both sides with respect to x, we get

$u'(x) = 4+0=4$ and $v(x)=2x +0=2x$

$[\because \dfrac{d(ax)}{dx}=a\ , \dfrac{d(a)}{dx}=0 \ \&\ \ \dfrac{d(x^n)}{dx}=nx^{n-1}]$

Then, Tge derivative of withe respect to x will be :

$f'(x)=u'(x)v(x)+u(x)v'(x)$

$=4(x^2 + 9)+( 4x - 3)(2x)$

$=4x^2 +36+8x^2 - 6x$

$=12x^2 - 6x+36$

Hence, the derivative of the function is $f'(x)=12x^2 - 6x+36$ .

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4 years ago

3.A fraction becomes 9/11 if 2 is added to both numerator and

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Hzhsjjsjskwkwowowooejdjd

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3 years ago

Find the values of x and y.

nirvana33 [79]

Answer:

x=15.75 y=59

Step-by-step explanation:

In total there is 360 degrees. We know y is 59 so we will replace it with that.

59+59=118. 360-118=242. 242/2=121. 29+29=58. So we can subtract that to equal 63. Now 63=4x. We can divide so 2x=31.5. x=15.75.

Therefore, 15.75=x and 59=y

I hope this helped ^^.

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3 years ago

Read 2 more answers

Your friend tossed a fair coin when you weren’t around. She has a habit of messing with you every once in a while, and so there

zaharov [31]

Answer:

Step-by-step explanation:

Given that your friend tossed a fair coin when you weren’t around.

Let A be the event that she said the outcome is head

B1 = Event she lied and B2 = Event she did not lie

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P(AB1) = $\frac{1}{2} *\frac{1}{3} =\frac{1}{6}$

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Required probability = P(B1/A)= $\frac{P(B1A)}{P(B1A)+P(B2A)} \\=\frac{\frac{1}{6} }{\frac{1}{6}+\frac{2}{6}} \\=\frac{1}{3}$

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3 years ago