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Galina-37 [17]
3 years ago
12

Determine the vertex of the function f(x) = 2(x-4)^2+5

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

(4,5)

Step-by-step explanation:

The vertex is written in vertex form.

y = a(x - b)^2 + c

Vertex: (b,c)  Notice the sign change on b.

So for your equation, you get (4,5) No sign change on the 5.

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Jerry indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). He ind
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Answer:

Incorrect.

Step-by-step explanation:

1 toss could not change the frequency by such a large margin 0.47 ---> 0.55.

The number of heads obtained in 30 tosses = 30 * 0.47 =  14.

So if the next toss came up heads the relative frequency of heads would be

15/31 = 0.48.

4 0
3 years ago
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amo
Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

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p = number of customers

6 0
2 years ago
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I want to purchase a pair of sneakers for the summer. Champs and Footlocker
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Answer:

Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.

7 0
3 years ago
In ΔPQR, r = 4.9 cm, ∠R=21° and ∠P=104°. Find the length of p, to the nearest 10th of a centimeter.
Galina-37 [17]

Answer:7 +7=14/8Step-by-step explanation:

4 0
2 years ago
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Find length of each side
IgorLugansk [536]

Option b: 10 in, 18.5 in, 31.5 in.

Explanation:

The three sides of a triangle are 2y+1, 3y+5 and 7y

The perimeter of the triangle is 60 in.

Since, Perimeter = all sides of the triangle

Let us add all the three sides to determine the length of each side.

Perimeter=2y+1+3y+5+7y

Substituting the value of Perimeter and simplifying, we get,

60=12y+6\\54=12y\\4.5=y

Substituting y=4.5 in the three sides of the triangle 2y+1, 3y+5 and 7y, we get,

2y+1=2(4.5)+1=10 in

3y+5=3(4.5)+5=18.5 in

7y=7(4.5)=31.5 in

Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.

8 0
3 years ago
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