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2 years ago

Consider the equation y=4x what is the value of 4x when x=8

Mathematics

2 answers:

IgorC [24]2 years ago

5 0

Answer:

y=4*8=32

Step-by-step explanation:

vodka [1.7K]2 years ago

5 0

Answer:

Sridhar V.

Nov 29, 2017

Answer:

Refer to the graph with Slope(m) = 4 and Y-Intercept

−

Explanation:

is the equation of a straight line usually written this way, where

represents the Slope ( or Gradient ) and

the Y-Intercept. It is also in Slope-Intercept Form.

Also,

or ( Change in y)

(Change in x)

We need to graph

−

We observe that it is already in Slope-Intercept Form.

Hence, Slope =

Y-Intercept

(

−

)

Go to the graph and plot the point the point

(

−

)

on the y-axis.

Then rise 4 and run 1. Plot the point

(

−

)

Then again "rise 4" and then "run" 1. Plot the point

(

)

Join all these points on the graph and you will find a straight line. graph{4x - 8 [-19.75, 20.25, -14.88, 5.12]}

Also refer to an additional graph available with my suggested solution with points plotted.

Hope this helps.

enter image source here

Step-by-step explanation:

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kykrilka [37]

Answer:

2nd option, x > 1.10

Step-by-step explanation:

$7e^{2x}-5 > 58$

Add 5 to both sides,

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Divided both sides by 7,

$\frac{7e^{2x}}{7} > \frac{63}{7}$

$e^{2x} > 9$

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1 year ago

Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)

gulaghasi [49]

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

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2 years ago