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Gnom [1K]
3 years ago
15

What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? Which direction does the parabola open?

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

y = -2(x-5)^2 + 7

That's vertex form for a parabola y=a(x-p)^2+q and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual y=x^2. I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.

Answer: downward

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Which describes the solution set of (5x –1)(x + 2) = 8x – 4?
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Tomtit [17]

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Step-by-step explanation:

Number 5 is third option

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3 years ago
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MAVERICK [17]

Answer:

1. 18

2. 72

3. 90%

Step-by-step explanation:

For number 1

To find percentage you multiply the total number of kids with the percentage.

To do this you have to convert the percent into a decimal by moving the dot 2 times from its original location Ex. 20% = .20 as 20 would look like 20.00 in decimal form.

So .20 x 90 = 18

For number 2

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For number 3

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8 0
3 years ago
what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13
leonid [27]

Answer:

B

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

7 0
3 years ago
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