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3 years ago

6

Solve for N4 + N = 8x5

1 answer:

Trava [24]3 years ago

3 0

Answer:

The Answer is: N = 36

Step-by-step explanation:

4 + N = 8 x 5

4 + N = 40

Subtract 4 from both sides:

N = 36

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Please help! x^3 +y^3=9

Crank

Step-by-step explanation:

Taking the derivative of both sides with respect to x, we get

$\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)$

$\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0$

Solving for $\frac{dy}{dx}$ , we get

$\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}$

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2 years ago

The table shows the depth of a submarine over a 2 hour period. Did the sub go up or down?By how much?

hichkok12 [17]

If the sub is closer to the surface later, we thus know that it traveled upwards.

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3 years ago

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A line passes through the points (1,4) and (3,-4). Which is the equation of the line

Anna71 [15]

Answer:

y=-4x+8

Step-by-step explanation:

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3 years ago

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97+(-27)+(-89)+(-54)

RUDIKE [14]

Step 1:

$97+(-27)+(-89)+(-54)$

Step 2:

$= 97 - 27 - 89 - 54$

Info:

(+) ×(-)=-

Step 3:

$= 97 - 170$

Step 4:

$= - 73✓$

8 0

3 years ago

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

so

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

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

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

3 years ago

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