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3 years ago

What is the solution to this system of linear equations?2x + y = 13x – y = –6(–1, 3)(1, –1)(2, 3)(5, 0)

1 answer:

5 0

$\underline{+\left\{\begin{array}{ccc}2x+y=1\\3x-y=-6\end{array}\right}\ \ \ \ |\text{add both sides of equations}\\.\ \ \ \ \ 5x=-5\ \ \ \ |:5\\.\ \ \ \ \ \ x=-1\\\\\text{put the value of x to the first equation}\\\\2(-1)+y=1\\-2+y=1\ \ \ |+2\\y=3\\\\\text{Answer:}\ (-1,\ 3)$

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Find the slope of the line going through the points (0, -5) and (-2,1)

kvasek [131]

Answer:

$\displaystyle m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (0, -5)

Point (-2, 1)

Step 2: Find slope m

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

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-5-1}{0--2}$
[Fraction - Denominator] Simplify: $\displaystyle m=\frac{-5-1}{0+2}$
[Fraction - Numerator] Subtract: $\displaystyle m=\frac{-6}{0+2}$
[Fraction - Denominator] Add: $\displaystyle m=\frac{-6}{2}$
[Fraction] Divide: $\displaystyle m=-3$

8 0

2 years ago

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph

natima [27]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

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3 years ago

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charle [14.2K]

Answer:

Step-by-step explanation:

13+1.50m

13+1.50(8)

13+12

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2 years ago

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xenn [34]

Answer:

15.4

Step-by-step explanation:

rounded its 15

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2 years ago

There are 18 cupcakes how many 3/4 size servings can you make

ohaa [14]

You can make 13.5 three quarter servings

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