Parabola equation with a vertex at (h, k) is given by y = a(x - h)^2 + k
For the give parabola, y = a(x - 4)^2 - 3
y = a(x^2 - 8x + 16) - 3
At (5, -6)
-6 = a((5)^2 - 8(5) + 16) - 3 = a(25 - 40 + 16) - 3 = a - 3
a = -6 + 3 = -3
Therefore, the coefficient of the squared expression is -3.
Well to solve this, we need to multiply. Since he can do 24 payments of $95, that would cost $2280 or 30 payments of $80, that would cost 2400. So doing 24 payments of $95 is the cheapest option and it is cheaper by $120. Hope this helps!
Answer:
? = 36
Step-by-step explanation:
<em>Knowing that 3/5 and 24/40 is equal</em>
<em>Therefore we can either use:</em>
<em>3/5 = ?/60 or 24/40 = ?/60</em>
<em>I will use 3/5 = ?/60</em>
<em>Let ? = x</em>
<em>Hence we have</em>
<em>3/5 = x/60</em>
<em>Multiply both sides by 10</em>
<em>6 = x/6</em>
<em>Multiply both sides by 6</em>
<em>x = 36</em>
<em>Therefore, the question mark = 36</em>
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<em>Let's check the answer by Simplifying the fraction:</em>
<em>3/5 = 36/60</em>
<em>3/5 is in already simplify</em>
<em>36/60 simplify = 3/5</em>
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<em>3/5 = 3/5</em>
<em>Thus, the question mark = 36</em>
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<u><em>[RevyBreeze]</em></u>
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Answer:
Statements (1),(2),(3),(4) are correct and statement (5) is not correct.
Step-by-step explanation:
To check the correct statement we go through the statements one by one and validate it from the given chart.
1). At time t=0 Melissa started from 8342 feet height and Corey started from 10004 feet so the statement is true that both started on different trails.
2). Melissa hiked up for 90 minutes and reached at 12921 feet and Corey hiked for 60 minutes to reach at 12921 feet so Melissa hiked for a longer period than Carey. Therefore this statement is true.
3). Third statement that Melissa and Corey crossed paths between 60 and 90 minutes is right. We can see that at when Melissa was going up from 11239 feet to 12921 feet Corey started descending from 12921 feet so they crossed their paths.
4). Corey started descending from t=60 but Melissa didn't so the statement is true.
5). As Melissa's time increased from 0 to 60 minutes her elevation increased consistently from 8342 feet to 11239 feet so the statement that her elevation decreased is wrong.
2900 is the best estimate for that
