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ozzi
3 years ago
11

Use the point and the slope to graph each line. Write the equation of the line. The line passes through point (2,-2) and is para

llel to a line that has slope -1.
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

y= -x

Step-by-step explanation:

<u>slope- intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -1, m= -1.

Substitute m= -1 into the equation:

y= -x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 2, y= -2,

-2= -2 +c

c= -2 +2

c= 0

Thus, the equation of the line is y= -x.

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I assume (x-4)3 means (x-4)³.  What we wish is to set the derivative equal to zero.

Expanding the T(x) polynomial makes it easier for me to take the derivative.

So (x-4)³ = x³ - 12x² + 48x - 64 + 6

T'(x) = 3x² - 24x + 48

We can factor out a 3 and set this to zero:

x² - 8x + 16 = 0

(x -4)² = 0

x = 4 should therefore represent the turning point.

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3 years ago
How many 3 pounds are in 1/4 pounds?
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4 years ago
Which equation represents an exponential function that passes through the point (2, 36)?
sesenic [268]

Answer:

The exponential function that passes through (2,36) is:

f(x)=4\times 3^x.

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

1)

f(x)=4\times 3^x

now we put x=2.

f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36

hence option 1 is correct.

2)

f(x)=4\times x^3

Now we put x=2.

f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32

Hence, option 2 is incorrect.

3)

f(x)=6\times 3^x

Now we put x=2

f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54

Hence, option 3 is incorrect.

4)

f(x)=6\times x^3

Now we put x=2.

f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

f(x)=4\times 3^x

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