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kondor19780726 [428]
2 years ago
13

Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the par

king garage. He described his movement with the expression below 9+(-7) what is sebastains error
Mathematics
2 answers:
DaniilM [7]2 years ago
8 0
Sebastian went up 7 floors not down so it shouldn't be -7 and he went down 9 floors so it should be 7-9
Grace [21]2 years ago
7 0

Answer: He took 9 instead of -9 and -7 instead of only 7.

Step-by-step explanation:

We know that in integers , we use negative(-) sign to represent the "down" or loss and positive(+) sign to represent "up" or "gain" in any amount.

Since , we have given that , Sebastian was in a hotel lobby and took the elevator up 7 floors to his room.

This will represent by 7 not -7 in integers.

Then he took the elevator down 9 floors to the parking garage.

This will represent by -9 not only 9 in integers.

Then , the movement of Sebastian is given by : +7+(-9)

Therefore, the Sebastian's error is : He took 9 instead of -9 and -7 instead of only 7.

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Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr
Marysya12 [62]

Answer:

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

Step-by-step explanation:

Given the following quadratic equation:

x^2 = -11x + 4

The steps to solve it are:

1. Move the terms to one side of the equation:

x^2+11x- 4=0

2. Apply the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac} }{2a}.

In this case we can identify that:

a=1\\b=11\\c=-4

Then, substituting these values into the Quadratic formula we get the following solutions:

x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

3 0
2 years ago
Read 2 more answers
Drag each tile to the correct box.
Umnica [9.8K]

Answer:

Emma ⇒ IQR = 3.5

Sally ⇒ IQR = 3

Olivia ⇒ IQR = 2.5

Emma - Sally - Olivia

Step-by-step explanation:

Emma's Scores:

<u>6 , 7 , 8 , 8 , </u><u>9 , 9</u><u> , 9 , 10 , 10 , </u><u>11</u> , <u>11</u><u> , 11 , 11 , 11 , </u><u>12 , 13</u><u> , 13 , 13 , 13 , 14</u>

LQ = (9 + 9) ÷ 2 = 9

UQ = (12 + 13) ÷ 2 = 12.5

IQR = 12.5 - 9 = 3.5

Sally's Scores:

<u>6 , 6 , 6 , 7 , </u><u>7 , 8</u><u> , 8 , 8 , 9 , </u><u>9</u> , <u>10</u><u> , 10 , 10 , 10 , 10</u><u> , 10 , 11</u><u> , 11 , 12 , 12 , 14</u>

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 11) ÷ 2 = 10.5

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

<u>6 , 6 , 7 , 7 , </u><u>7 , 8</u><u> , 8 , 8 , 8 , </u><u>9</u> , <u>9</u><u> , 9 , 9 , 9 , </u><u>10 , 10</u><u> , 12 , 12 , 13 , 14</u>

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 10) ÷ 2 = 10

IQR = 10 - 7.5 = 2.5

Emma - Sally - Olivia

6 0
2 years ago
Read 2 more answers
A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe
algol13
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
0 = -16(x^2-8x-9)

We can divide by -16, nothing will happen because 0 divided by anything is 0:
0 = x^2-8x-9

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
0 = ax^2 + bx + c

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
0 = (x-9)(x+1)

Both answers would be valid, but there can't be negative time, so your answer is "It takes 9 seconds for the rock to reach the water."
4 0
2 years ago
Read 2 more answers
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
Goshia [24]

Answer:

<u><em>(x, y) -------> ( - x , y - 10 )</em></u>

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is <em>( - x , y - 10 )</em>

5 0
2 years ago
Kelsey is 5 years older than her sister misty the product of their ages in years is 84 how old is misty?
boyakko [2]

Answer:

Misty is 7

Step-by-step explanation:

84=7*12

12-7= 5 year difference

8 0
2 years ago
Read 2 more answers
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