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Greeley [361]
3 years ago
10

Help with geometry!!

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

y = x

Step-by-step explanation:

Slope-intercept form is the form that looks like

... y = mx + b . . . . . . for slope m and y-intercept b

The line connecting points D and E has slope 1 and y-intercept 0, so the equation is ...

... y = 1·x + 0

... y = x . . . . . . without the identity elements

_____

<em>Comment on the marked choice</em>

The choice that is marked is the equation in <em>point-slope form</em> using the point E (4, 4). That is not the form requested by the problem.

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Jack’s bank statement shows an account balance of –$25.50. Which describes the magnitude, or size, of the debt in dollars? $50.5
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Answer:

$25.50

Step-by-step explanation:

because the magnitude of the debt is the distance from zero.

8 0
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The Hawks are starting a babysitting business. They charge an initial deposit of $25 and a rate of $4 an hour. A linear model is
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What’s the question so I can answer it.
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45 degreese is used in a pie chart to reperesent 6 people. How many people were there altogehter?
KatRina [158]
We can solve this problem by the rule of three.
A complete pie chart has 360º. 

45º----------------------6 people
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6 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
One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.
IgorC [24]
Y = kx is the direct variation equation with k being the "constant of variation"
The constant here being the conversion decimal .91
y = 0.91x
4 0
3 years ago
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