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Slav-nsk [51]
3 years ago
9

X is less than or equal to 2 Write in interval notation.

Mathematics
1 answer:
Talja [164]3 years ago
3 0
X is less than -2, so -2 is our largest value of the interval, so it goes on the right. Since there is no lower endpoint (it is ALL values less than -2), we put the negative infinity symbol on the left side. The curved end on -2 indicates an open interval
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Express your answer in the smaller unit: 231 m 31 cm - 14 m 48 cm
pashok25 [27]
23131-1448 =21683(cm)

6 0
3 years ago
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
What is the simplified form of (4x^2)^3
barxatty [35]

Answer:

i guess the answer is 64x^5

Step-by-step explanation:

(4x^2)^3

=64x^5

7 0
2 years ago
To celebrate the first day of school, Rita brought in a tray of caramel brownies and walnut brownies. She brought 16 caramel bro
Zinaida [17]

Answer:

40% were caramel

Step-by-step explanation:

(pls mark brainliest)

5 0
3 years ago
10)
Kipish [7]

Answer:

-600

Step-by-step explanation:

The rate of change of a function f(x) in a certain interval (x_1,x_2) is the ratio between the change of the function and the change in the value of x:

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.

In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.

Here we are told that the machine was purchased for

q=\$4500

while its value decreases by $600 each year, so

m=-600\$

This means that the linear function that represents the value of the machine after x years is:

y=4500-600x

Therefore, the rate of change of the function is -600.

3 0
3 years ago
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