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NARA [144]
3 years ago
13

Match the parabolas represented by the equations with their foci. Tiles y = -x2 + 4x + 8 y = 2x2 + 16x + 18 y = -2x2 + 5x + 14 y

= -x2 + 17x + 7 y = 2x2 + 11x + 5 y = -2x2 + 6x + 5 Pairs Focus Equation of Parabola (-2.75, -10) arrowBoth (2, 11.75) arrowBoth (-4, -13.875) arrowBoth (1.25, 17) arrowBoth
Mathematics
1 answer:
alexdok [17]3 years ago
7 0
Given:
<span>y = -x2 + 4x + 8
y = 2x2 + 16x + 18
y = -2x2 + 5x + 14
y = -x2 + 17x + 7
y = 2x2 + 11x + 5
y = -2x2 + 6x + 5 

Standard formula : y = ax</span>² + bx + c  ;  -(b/2a) is the x-coordinate of the vertex. Substitute the value of x to find the value of y.

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Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equ
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The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

<h3>Writing equation</h3>

From the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal

From the given information,

"<em>Arianys wants to ride her bicycle 55.5 miles</em>"

and

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Thus,

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= 36.5 miles

If m is the average number of miles she would have to ride for 5 more days to complete her goal,

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m = 36.5/5

OR

m = (55.5 - 19)/5

Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

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(5 - 3)⁴ - 2(7) + 8²

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