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alexdok [17]
3 years ago
13

Find the derivative of f(x) = 6x + 7 at x = 9

Mathematics
2 answers:
Ket [755]3 years ago
3 0

Answer:

f'(9) = 6

Step-by-step explanation:

f(x) = 6x+7

The derivative is

f'(x) = 6

Evaluated at  x=9

f'(9) = 6

Hitman42 [59]3 years ago
3 0

Answer:

6

Step-by-step explanation:

f(x) = 6x + 9

f'(x) = 6 at every point

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Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the
adoni [48]

Answer:

45.55 meters

Step-by-step explanation:

I'm guessing she recorded above her height, right?

To find the height of the dam, use the tangent ratio:

tangentX=\frac{opposite}{adjacent}

The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:

tan26=\frac{x}{90}

Solve for x. Multiply both sides by 90:

90*(tan26)=90*(\frac{x}{90})\\\\90*tan26=x

Insert equation into a calculator:

x=90*tan26\\\\x=43.9

Now add Scarlett's height:

43.9+1.65=45.55

The dam is 45.55 meters tall.

<em>Finito</em> :D

6 0
3 years ago
How do you do the slope on a graph
Semmy [17]

I can't be entirely sure what you want to "do" about the slope,
but here is how to FIND it if you have the line on the graph:

-- You pick two points on the graph line.

-- Find the difference in 'y' between the two points.

-- Find the difference in 'x' between the two points.

-- The slope of the line between the two points is

             (the difference in 'y')
divided by
             (the difference in 'x') .

-- If the line on the graph is a straight line, then
the slope is the same everywhere on it.

4 0
3 years ago
Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in sta
Flauer [41]

Step-by-step explanation:

5x + 2y = 10

Ax + By = C

A = 5

B = 2

C = 10

5 0
2 years ago
Graph the equation
Lisa [10]
To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4


x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
8 0
2 years ago
Evaluate x+x+x+2x for x=2
Nutka1998 [239]

Answer:

10

Step-by-step explanation: substitute 2 for all the x’s and add.

4 0
2 years ago
Read 2 more answers
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