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2 years ago

6

Simplify the expression 3(9+4x−5) 3(9+4x−5) .

2 answers:

Lilit [14]2 years ago

8 0

3(9+4x-5)
3(4x+4)
12x+12

Alik [6]2 years ago

7 0

12x+12 because you do the distribution property and this is how 3*9=27 3*4x=12x 3*-5=-15 27-15 = 12 so 12x+12 would be the answer it is really simple.

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Y - 9 = - (x+2) in slope Intercept form

Phantasy [73]

Answer:

$y = - x + 7$

Step-by-step explanation:

$y - 9 = - x - 2$

$y = - x - 2 + 9$

$y = - x + 7$

8 0

2 years ago

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

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$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

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Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

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This corresponds to the homogeneous linear differential equation

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6 0

3 years ago

If f(x) = 3x^2 +1 and g(x) = 1-x, what is the value of (f-g)(2)

aleksley [76]

Answer:

14

Step-by-step explanation:

Let's find (f-g)(x)

$3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x$

Now let's plug in x=2, so to find (f-g)(2)

$3(2)^{2} + 2\\12 + 2 = 14$

8 0

2 years ago

-\frac{9x}{4}=27

IRISSAK [1]

$\bf \cfrac{-9x}{4}=27\implies \stackrel{\textit{cross multiplying}}{-9x=4(27)}\implies x=\cfrac{4(27)}{-9}\implies x=4\cdot \cfrac{27}{-9} \\\\\\ x=4\cdot -3\implies x=-12$

4 0

2 years ago

A system of equations is given below:

My name is Ann [436]

Solving by substitution:

y = 4x - 3

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Let us substitute the first equation y = 4x - 3 into the second.

2x + 7y = 41

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2x + 7(4x -3) = 41

So that's the third option.

I hope this helps.

4 0

2 years ago

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