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denis23 [38]
3 years ago
5

Evaluate -3x 3 - 4x for x = -1.

Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Plug in -1 for x the solve the equation. 3 * -1 -4(-1) which equals 7
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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
3 years ago
Nolan polled the 2 fastest swimmers on the swim team.
torisob [31]

Here's link to the answer:

cutt.us/tWGpn

4 0
3 years ago
HELP PLEASEEEEE URGENT
gregori [183]

Answer:

5

Step-by-step explanation:

1) Solve for the slope(m):

(y2-y1) / (x2-x1)

pick any

(-3 - (-5) )/ (1 - 0)

(-3 + 5) / (1 - 0)

2/1 = 2

2) b(intercept) value is found when x = 0:

x = 0, y = -5,

b = y

b = -5

3) Plug it in:

y = mx + b

y = 2x - 5

4) when the value is 5, x = 5:

y = 2x - 5

y = 2(5) - 5

y = 10 -5 = 5

6 0
3 years ago
Factor strings for 36
Marina CMI [18]
Factor strings for 36:

6 x 6
2 x 18
3 x 12
4 x 9
2 x 2 x 3 x 3
2 x 2 x 9
4 x 3 x 3
6 x 2 x 3

Hope that helped :D
4 0
3 years ago
Read 2 more answers
What is 2 times 200 - 321 + 67= 56-65 <br><br><br><br> jameskeeton04 pls talk to me
erica [24]

Answer: 2*200-321+67=56-65? look at the picture

Step-by-step explanation: Hope this help :D

6 0
3 years ago
Read 2 more answers
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