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maria [59]
2 years ago
12

Help 10 pts!!!

Mathematics
2 answers:
katrin2010 [14]2 years ago
7 0

Answer:

40

Step-by-step explanation:

took the test

goldenfox [79]2 years ago
3 0

Answer:

40 ft^2

Step-by-step explanation:

lateral surface area -Slat = 24 ft^2

top surface area-Stop = 8 ft^2

bottom surface area -Sbot = 8 ft^2

24+8+8= 40

total surface area -Stot = 40 ft^2

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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

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3 years ago
Solve. <br> 1/2x + 3 &lt; 4x - 7<br><br> A) x &gt; 8/7<br> B) x &lt; -8/7<br> C) x &gt; 20/7
anyanavicka [17]
C would be your answer and here is how you would solve the problem.

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3 years ago
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