Please help me graph #9.

Mathematics

2 answers:

Allisa [31]3 years ago

6 0

Answer:

f(4)=1 as X>1

f(0)=4 as (-3 is less than or equal to X greater than or equal to 1)

f(-3) = 4 (-3 is less than or equal to X greater than or equal to 1)

Nata [24]3 years ago

4 0

Hint to start out the problem:

eg. For f(4), use the first expression, (x-3)^2 because 4 is greater than 1.

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Find the gradient of line segment AB A is point (-3,3) B is point(-1,-1)

Fynjy0 [20]

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 (Gradient) Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

A (-3, 3)

B (-1, -1)

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Substitute: $m=\frac{-1-3}{-1+3}$
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7 0

2 years ago

A forest has 800800800 pine trees, but a disease is introduced that kills \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, e

snow_tiger [21]

This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.

Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,

$P( t ) = a( b )^t$ - where a = start value, b = growth factor, t = time ( variable quantity )

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Thus, the function $P( t ) = 800( \frac{3}{4} )^t$ can model this problem. The forest after t years should have P( t ) number of pine trees remaining.