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Rasek [7]
3 years ago
12

On Monday Katie spent 2 1/6 hours studying. On Tuesday she spent another 4 7/9 hours studying. What is the combined length of ti

me she spent studying?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:6 17/18 hours

Step-by-step explanation:

We are informed that on Monday Katie spent 2 1/6 hours studying while onn Tuesday she spent another 4 7/9 hours studying.

The combined length of time she spent studying will be the addition of the numbers of hours spent studying on Monday and Tuesday. This will be:

= 2 1/6 + 4 7/9

= 2 3/18 + 4 14/18

= 6 17/18

She used a total of 6 17/18 hours studying

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Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

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⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

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Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

Square root both sides:      x + 3 = ±3

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so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

8 0
2 years ago
Read 2 more answers
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Step-by-step explanation:

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