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Alona [7]
2 years ago
15

Which of the following are the most likely factors of the function graphed above?

Mathematics
1 answer:
alexandr402 [8]2 years ago
3 0

Answer: OPTION C.

Step-by-step explanation:

You can observe in the graph that the solutions of the Quadratic function are:

x=-5\ or\ x=1

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

x+5=-5+5\\\\x+5=0

Applying the Subtraction property of Equality:

x-1=1-1\\\\x-1=0

The Zero Product property states that:

If a*b = 0  then a = 0\ or \ b = 0

Then, you know that:

(x-1)(x+5)=0

Therefore the most likely factors of the function graphed above are:

(x-1)(x+5)

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Keith_Richards [23]

Answer: A

Step-by-step explanation:

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2 years ago
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"If you switch to the late shift, you will receive a 10% wage increase." Great! I make $12.00 per hour now, and that extra 10% w
maxonik [38]

Answer:

$13.20/hr

Step-by-step explanation:

A 10% wage increase would amount to 0.10($12) = $1.20.  Adding this increase to the starting rate $12/hr results in $13.20/ hr.

A faster way in which to do this is shown below:

Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr

7 0
2 years ago
You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (\text{km})(km)left parenthesi
kherson [118]

Answer:

Step-by-step explanation:

First you will multiply Rivers edge 3x8=24 and then wooden marsh 8x20=160, lastly canyon creek 15x35=525. So it would be canyon creek, wooden marsh and rivers edge!

3 0
2 years ago
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A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
2 years ago
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
grandymaker [24]

Solution:

There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

Explanation:

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

f_{x}= -2 -2x

f_{y}= 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and   4 -8y=0

we get x= 1  and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find f_{xx},  f_{yy} and f_{xy}

formula is f_{xx} *f_{yy} - f^{2_{xy} } =0

f_{xx} = -2

f_{yy} = -8

f^{2_{xy} } =0

putting values in formula

(-2)*(-8) -0 =16 > 0, and f_{xx}< 0  and f_{yy}<0

so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.



4 0
2 years ago
Read 2 more answers
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