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Arada [10]
3 years ago
6

What is the remainder when x^3 - 1 is divided by (x + 2)?

Mathematics
2 answers:
Semenov [28]3 years ago
4 0

Answer:

-9

Step-by-step explanation:

Use synthetic division here.  The divisor will be -2, which comes from the divisor (x + 2):

-2    /      1    0    0    -1

                   -2    4    -8

       -------------------------

              1      -2   4    -9

The remainder is -9.

tangare [24]3 years ago
4 0

Answer:

Negative 9 or -9 is the answer.

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-3×+7y=5<br> -8×+14y=-10<br> By elimination
dimaraw [331]
-3x+7y=5 (x2) -> -6x+14y=10

-6x+14y=10
-8x+14y=-10
——————— -
2x=20
x=20/20
x=1

Susbstitute x=1,

-8x+14y=-10
-8(1)+14y=-10
-8+14y=-10
14y=-10+8
14y=-2
y=-2/14
y=-1/7

I hope it helps
5 0
3 years ago
Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place)
Deffense [45]

*dot plot is shown in the attachment below

Answer:

Mean = 6.3

Median = 6

Step-by-step explanation:

Measures of centre, mean and median, can be calculated as follows:

First, bear in mind that each dot represents a value in the data set.

==>Mean:

Mean is the sum of all values in the data set divided by the number of data set we have.

The sum can be calculated as follows:

0 (1) = 0

4 (3) = 12

5(8) = 40

6(3) = 18

7(1) = 7

8(5) = 40

9(2) = 18

10 (3) = 30

Sum = 0+12+40+18+7+40+18+30 = 165

No of data set = 26

Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)

==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.

Thus, the 13th and 14th values are both 6.

Therefore, median = (6+6) ÷ 2 = 6

8 0
3 years ago
Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t
Roman55 [17]
When the ball is first dropped, it falls h feet. On the first bounce, it rebounds 0.81h feet, which means on the second "drop" it must travel 0.81h feet again. On the second bounce, the ball rebounds 0.81(0.81h)=0.81^2h feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh
\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh

The total distance is the sum of these two:

\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n

Recall that for an infinite geometric sum, you have

\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}

provided that |r|. So the total distance traveled by the ball is

h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h

Starting with a height of h=16 means the total distance is about 152.42 ft.
4 0
3 years ago
Complete the conditional statement.
mamaluj [8]

Answer:

the answer is a>-2, for when you devide this by -1 u must flip the symbol.

8 0
3 years ago
You are running a 10 mile race. You run the first 3 miles in 24.7 minutes. Your goal is to finish the race in less than 1 hour 2
alukav5142 [94]
10 miles - 3 miles = 7 miles left.

1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes
                                                        = 55.3 minutes left

Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3. 

So:

<u>7 miles </u>= <u>55 minutes</u>
1 mile        x minutes

x minutes= 55 x 1 ÷ 7 miles
x minutes = 7.85
x minutes = ~ 8 minutes

Therefore you have to run every mile in ~ 8 minutes.

Hope this helps!
5 0
3 years ago
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