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3 years ago

Determining a Local Maximum and Minimum

Mathematics

1 answer:

g100num [7]3 years ago

5 0

Answer:

x=-1
x=-3

Step-by-step explanation:

Algebra level

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Find the equation of the line tangent to the graph at y=e^x at x =a

kaheart [24]

Answer:

find derivative of function

sub in x value of point to find gradient of tangent

put gradient into y=(gradient)x+c

Sub in point and solve for c

you have found the equation of the tangent.

3 0

3 years ago

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The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

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2 years ago

The graph shows a proportional relationship between the cost of grapes, in dollars, and the number of pounds of grapes.

andreyandreev [35.5K]

Answer:

where is the picture

Step-by-step explanation:

4 0

2 years ago

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Rotate the given triangle 90°

kati45 [8]

9514 1404 393

Answer:

$\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

$\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Then the rotated coordinates are ...

$\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]$

_____

The transformation of each ordered pair is ...

(x, y) ⇒ (-y, x)

4 0

2 years ago

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HELP ASAP

tester [92]

Answer:

yolo

Step-by-step explanation:

5 0

2 years ago