2 years ago

Answer the question pictured here.

Mathematics

1 answer:

marusya05 [52]2 years ago

8 0

Answer:

its a 3.5

Step-by-step explanation:

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Find dy/dx. if y = 8u - 6 and u = 3x - 8.

Dmitriy789 [7]

Use the chain rule:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

We have

$y=8u-6\implies\dfrac{\mathrm dy}{\mathrm du}=8$

$u=3x-8\implies\dfrac{\mathrm du}{\mathrm dx}=3$

so we get

$\dfrac{\mathrm dy}{\mathrm dx}=8\cdot3=\boxed{24}$

Alternatively, you can substitute u in the definition of y and differentiate with respect to x :

$y=8u-6=8(3x-8)=24x-64\implies\dfrac{\mathrm dy}{\mathrm dx}=24$

7 0

2 years ago

Solve for x. (Round to the nearest hundredths.) 5x = 2

Sunny_sXe [5.5K]

Answer:

0.4

Step-by-step explanation:

x=2/5

2/5=0.4

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2 years ago

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What is the solution of log6x + log6(x + 5) = 2?

exis [7]

Answer:

Doesn't have solution.

Step-by-step explanation:

x ≠ 0; x > 0 (I)

x - 5 > 0

x > 5 (II)

$log_6 x + log_6 (x + 5) = 2 \\\ log_6 [x(x + 5)] = 2 \\\ x^2 + 5x = 36 \\\ x^2 + 5x - 36 = 0 \\\ \Delta = 5^2 - 4.1.(- 36) \\\ \Delta = 169 \\\ \sqrt{\Delta} = \pm 13 \\\ x' = \frac{- 5 + 13}{2} \\\\ x' = 4 \\\ x" = \frac{- 5 - 13}{2} \\\\ x" = - 9$

Then, this expression doesn't have solution.

I Hope I've helped you.

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2 years ago

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The graphs below have the same shape. What is the equation of the blue graph

Gnoma [55]

The correct answer is c.

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2 years ago

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4. What is the equation of a line with a slope of 5 that passes through the point (4,2) ? Express this equation in all three for

stiv31 [10]

Slope = 5
y = mx + b
2 =5(4) + b
b = 2 - 20
b = -18

point-slope equation
y - 2 = 5(x -4)

slope-intercept equation
y = 5x - 18

standard form
5x - y = 18

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2 years ago

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