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3 years ago

What is the rate of Change of the line through (1,-3) and (0,-1)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (0, -1)

Step 2: Find slope m

Substitute in points into the slope formula to find rate of change

Substitute [SF]: $m=\frac{-1+3}{0-1}$
Add/Subtract: $m=\frac{2}{-1}$
Divide: $m=-2$

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Wich mathematical expression represent this statement?the sqaure of a number times 3

sergeinik [125]

Answer:

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

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3 years ago

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where \lambda is the mean of the distribution and x is the number of success

Given : $\lambda=7$

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

$P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991$

Hence, the probability that more than 1 student will have his automobile stolen during the current semester =0.9991

3 0

3 years ago

What is the vertex of the graph of the function below? y = x2 + 8x + 12

Vera_Pavlovna [14]

Hello,

$The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is: \\ V=( -\frac{b}{2a},f(-\frac{b}{2a}) )$

That means that we must first obtain x, then we replace x in the function to get y, so:

$x=- \frac{b}{2a} \\ \\ x=- \frac{8}{2*(1)} \\ \\ \boxed{x=-4} \\ \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}$

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5 0

3 years ago

William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of

Fantom [35]

Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.

8 0

3 years ago

You saved $35 to buy two books. The first book cost an unknown amount and the second book cost $24. If you don't have any money

vovangra [49]

Answer:

$11 Dollar

Step-by-step explanation:

35 - 24 = 11

5 0

3 years ago