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2 years ago

Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

Mathematics

1 answer:

kolbaska11 [484]2 years ago

5 0

Answer:

its called common sense

Step-by-step explanation:divide negative by the positive leaving you with the commomn answer thus its subtraction

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Helpp!!Angles, degrees and, radians

MAXImum [283]

Answer:

co-terminal
reference
90°, 105°
2π, 7π/4

Step-by-step explanation:

For an explanation of vocabulary questions, consult a dictionary or vocabulary list

1) angles ending in the same place are "co-terminal."

2) The acute angle between the terminal ray and the x-axis is the "reference angle."

3) Multiply radians by 180°/π to convert to degrees.

a) π/2 × 180°/π = 180°/2 = 90°

b) 7π/12 × 180°/π = (7/12)(180°) = 105°

4) To convert from degrees to radians, multiply by π/180°.

a) 360° × π/180° = 2π radians

b) 315° × π/180° = 7π/4 radians

8 0

3 years ago

Supposed the population of deer in a region was 3,500 in the year 2000.since then population has grown by 3.5% annually. What wi

sergejj [24]

Y = a (b^x)

1) x = 0, y = 3500

=> 3500 = a (b^0)

=> 3500 = a (1)

=> a = 3500

2) growth percent = 3.5% => growth rate = 1.035 = b

=> y = 3500 (1.035)^ x

3) year 2020 => x = 2020 - 2000 = 20

4) y = 3500 (1.035)^ 20 = 6964

Answer: 6964.

3 0

3 years ago

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is