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1 year ago

Write an equation for a parabola opening upward, shifted 6 units right, and three units down

Mathematics

1 answer:

jolli1 [7]1 year ago

5 0

y = (x-6)²-3

1) Let's write a transformation described as it is, algebraically speaking.

• opening upward, (a >0)

• shifted 6 units right, (-6)

• and three units down -3

2) Starting from the parent function y=x², then we can write:

y = (x-6)²-3

Notice that the horizontal shift is within the parentheses with a swapped sign. And outside that -3 indicating the vertical shift.

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Angelina_Jolie [31]

The Sample Space for the experiment is {B, W, R, G, P}. :) The answer to the second question is 7/12.
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3 years ago

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Y wants to buy three shirts which war originally priced $49.96 each the store will discount the price of the third shirt and the

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3 years ago

Their is a reservation fee of $47 and an additional hourly fee of $7.40 . The math club wants to spend less than $91.40 on renti

Margaret [11]

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

47 + 7.4x < 91.4

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x < 44.4/7.4

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8 0

3 years ago

Convert the following:<br> 110110two to base ten<br> 25ten to base two<br>

blagie [28]

Answer:

110110 in base 2 when converted in base 10 will be equal to 54
25 in base 10 is equal to 1001 base 2

Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

$=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54$

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12 remainder 1

12/2 = 6 remainder 0

6/2 = 3 remainder 0

3/2 = 1 remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

7 0

4 years ago

1,248 divided by 4 show the work

Tju [1.3M]

1,248 divided by 4= 312

your welcome

:))

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4 years ago

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