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3 years ago

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Mathematics

1 answer:

babymother [125]3 years ago

3 0

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Step-by-step explanation:

You might be interested in

Determine the slope of the line given the graph 3,-3 and 0,2

BigorU [14]

Answer:

$\displaystyle m = \frac{-5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Reading a coordinate plane
Coordinates (x, y)

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

Step-by-step explanation:

Step 1: Define

Identify points

Point (0, 2)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{2 + 3}{0 - 3}$
Simplify: $\displaystyle m = \frac{-5}{3}$

7 0

3 years ago

What is y=1/2x+4 in standard form?

zhuklara [117]

<h3>Answer: x-2y = -8</h3>

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

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

8 0

3 years ago

Number 2 please thanks

Alex

Answer:

c) 2x+1

Step-by-step explanation:

Let's x be number of Nick's goals.

Emma has scored 1 more than twice the number of Nicks.

1 more is +1, of twices the number is 2x.

so 2x+1=15

6 0

3 years ago

Read 2 more answers

Given sin x=0.3 , what is cos x ?

blsea [12.9K]

Cos x = sqrt( 100 - 9) / 10
= 0.9539392014sin x = 0.3 = 3/10

7 0

3 years ago

Read 2 more answers

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .