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2 years ago

14

What is the slope of the line that passes through (3,-7) and (-1,1)

2 answers:

Yanka [14]2 years ago

8 0

-2 is the slope of the line

Tanya [424]2 years ago

7 0

Remark
Line slopes are found with the formula
m = (y2 - y1)/(x2 - x1)

Givens
y2 = 1
y1 = - 7
x2 = -1
x1 = 3

Sub and solve
m = (1 - - 7) / (-1 - 3)
m = (1 + 7) / -4
m = 8 / - 4
m = - 2

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If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an

Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

$R=\{a\in \mathbb{Z}\ :\ |a|$

2. A is its subset containing all natural numbers less than 10, thus

$A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b$

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

$2x+5$

Thus,

$B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5$

See the diagram in attached diagram.

Note that

$A\cup B=R\\ \\A\cap B=\{1\}.$

4 0

3 years ago

Six hundred and eight thousandths as a decimal

jolli1 [7]

600.008 (why does this need to be 20 things long)

7 0

2 years ago

Which expression is equivalent to 6(14)? A. 6(10 + 4) B. 6(10 + 14) C. 6(1 + 40) D. 6(10 + 40)

makvit [3.9K]

A 6(10+4) is correct

5 0

3 years ago

Read 2 more answers

The mean salary offered to students who are graduating from Coastal State University this year is $24,245, with a standard devia

leva [86]

Answer: The probability that the mean salary offer for these 80 students is $23,500 or less equals to 0.4054

Step-by-step explanation: Please find the attached file for the solution

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2 years ago

A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function

Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

$m(t) = 120e^-^0^.^0^1^8^(^5^0^)$

$m(t) = 120e^-^0^.^9$

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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7 0

1 year ago