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svlad2 [7]
3 years ago
15

(Inscribed Angles) Find m

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0
The answer will be Mx+b
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f parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie? [hint
Assoli18 [71]
Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location
8 0
3 years ago
Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu
kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

f(x) =  {x}^{5}  -  {x}^{3}  + 6

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

f'(x) = 5 {x}^{4} - 3 {x}^{2}

At turning point f'(x)=0.

5 {x}^{4} - 3 {x}^{2}  = 0

This implies that,

{x}^{2} (5 {x}^{2}  - 3) = 0

{x}^{2}  = 0 \: or \: 5 {x}^{2}  - 3 = 0

x =  - \frac{ \sqrt{15} }{5}   \: or \: x = 0 \:  \: or \: x =\frac{ \sqrt{15} }{5}

We plug this values into the original function to obtain the y-values of the turning points

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  +750)) \:and \:  (0, - 6) \: and\: (   \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( - 6 \sqrt{15}  +750))

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

f''(x) = 20 {x}^{3}  - 6x

f''( -  \frac{ \sqrt{15} }{5} ) \:   <  \: 0

Hence

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  + 750))

is a maximum point.

f''( \frac{ \sqrt{15} }{5} ) \:    >  \: 0

Hence

(     \frac{ \sqrt{15} }{5}  , \frac{1}{125} (- 6 \sqrt{15}  + 750))

is a minimum point.

f''(0) \: =\: 0

Hence (0,-6) is a point of inflexion

4 0
3 years ago
Idk how to do this equation
AveGali [126]
The answer to your question is car A because every 1 gallon o gas it goes  33 MPH, car A also uses the least amount of gas. Hope this helps! ;D
7 0
3 years ago
Help please its URGENT!!!!!!!!
Aneli [31]

This is a relation but not a function.

Functions must have that there is a unique y for a given x, which clearly doesn't work here because all lines of a given x have 2 y-values. However, it is a relation because there is a given set of points which are defined to be within the set of the ellipse (if it's defined which members of two sets, the range and domain, go together, then you have a relation)

4 0
3 years ago
Read 2 more answers
How do I do a ratio?​
Kamila [148]
A ratio is comparing one thing to another (numbers in this case). You can write ratios in many ways
here’s three different ways.
There are four girls and and 2 boys.
The ratio of girls to boys is:
4:2
4 to 2
4/2

*THE RATIO MUST ALWAYS BE IN ORDER!!! If boys come first in the problem WRITE THE BOYS NUMBER FIRST! If girls come first, WRITE THE GIRLS FIRST IN THE RATIO!!! (That’s a very common mistake) hope this helps!
6 0
3 years ago
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