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Anna11 [10]
3 years ago
10

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit

h x. In the function, the relationship between x and y should be neither inverse variation nor direct variation. Describe the graph of each function and give a real world example for each.
Mathematics
2 answers:
Ymorist [56]3 years ago
8 0
<span>1)y varies directly with x , k= 5/3 x=9, y=5/3x=5/3(9)=15 example: i want to buy some candy canes and the cost per pound is $9.00 how much will it cost to buy 3 pounds? how much would a half pound cost. description: since k is constant we can find k by dividing y coordinate by the x coordinate, y1/x1=k y2/x2=k. 2) y varies inversely with x, k=5/2, x=10, xy=5/2 - 10y=5/2 - y=5/2*1/10=1/2*1/2=1/4 example: if i get paid $10 dollars an hour, how much will i make in 12 hours? description: since k is constant, i can find k given any point by multiplying x coordinate by the y coordinate, x1y1=k - x2y2=k , the lines never cross the axes 3) y=2x-3 description': the graph crosses through the points -3 an 1.5 and it's a single line.

</span>
Taya2010 [7]3 years ago
6 0
I dont know that either i am actually trying to figure that out now
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Find the distance between each pair of points
algol [13]

Answer

\sqrt{34}

Step-by-step explanation

You would use the pythagorean theorem for this problem. The point on the y-axis is 5 away from (0,0). The point on the x-axis is 3 away. You would square these, leading from

5+3 to

25+9=\sqrt{34}

Answer is \sqrt{34}.

7 0
2 years ago
Pleaseeeee helpppppp!!
Sergio [31]

Answer:  The equation of the circle as specified is (x+5)² + (y -1)² = 25

Step-by-step explanation:  Use the Pythagorean Theorem to calculate the length of the radius from the coordinates given for the triangle location: A(-1,4), B(-1,1) and C(-5,1)  

subtract y-values of A & B 4-1=3 AB = 3

subtract x-values of B &C -5-(-1) =4 BC=4  3² + 4² = 9 + 16 = 25  

√25 = 5   AC = 5  That is the radiuus of the circle.    

The sides of the triangle are AB=3, BC=4, AC=5.

Use the equation for a circle:

( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

Use the coordinates of C, (-5, 1) as h and k in the equation

Substituting those values, we have (x -[-5])² + (y -[1])² = 5²

Simplify:  (x+5)² + (y -1)² = 25

A graph of the circle is attached. The radius is AC, between the center C (-5,1) and A( -1,4) on the circumference.  (Sorry, I still need to learn how to create line segments!)

8 0
3 years ago
Use the drop-down menus to complete the statements about factoring 14x2 + 6x – 7x – 3 by grouping.
Stella [2.4K]

Answer:1.  GCF of the group ( 6 x - 3 ) is 3.

2.  The common binomial factor is 2 x - 1.

3.  The factored expression is:  ( 2 x - 1 ) ( 7 x + 3 ).

Step-by-step explanation:

14 x² + 6 x - 7 x - 3 =

= ( 14 x² - 7 x ) + ( 6 x - 3 ) =

= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =

= ( 2 x - 1 ) ( 7 x + 3 )

4 0
2 years ago
Read 2 more answers
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seraphim [82]
X = -8.
subtract 19.
-X = 8
divide by -1.
X = -8
7 0
2 years ago
Mr. Riddle is going to be eating a GIANT pie over the holiday break. So far he has already eaten 12 pieces of pie and that's onl
stealth61 [152]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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