How to calculate y=0 on to a graph

An entomologist can model the number of mosquitos in a forest as a function of

Irina-Kira [14]

The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

<h3>How to interpret the points of intersection?</h3>

The graph of the two functions alongside their equations are the given parameters of this question

The functions are given as:

f(x) = 5x - x^2

g(x) = 3x - 0.5x^2

When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value

In this case, it represents

f(x) = g(x)

Substitute the known values in the above equation

5x - x^2 = 3x - 0.5x^2

So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

Read more about point of intersection at

brainly.com/question/11337174

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6 0

2 years ago

I need help solving this trig problem w/ identites.

Charra [1.4K]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\
-------------------------------$

$\bf \cfrac{1}{sin(x)-1}+\cfrac{1}{sin(x)+1}\implies \cfrac{sin(x)+1~~+~~sin(x)-1}{[sin(x)-1][sin(x)+1]}
\\\\\\
\cfrac{2sin(x)}{\stackrel{\textit{difference of squares}}{sin^2(x)-1^2}}\implies \cfrac{2sin(x)}{sin^2(x)-1}\implies \cfrac{2sin(x)}{-[~1-sin^2(x)~]}
\\\\\\
\cfrac{2sin(x)}{-[cos^2(x)]}\implies -2\cdot \cfrac{sin(x)}{cos(x)}\cdot \cfrac{1}{cos(x)}\implies -2tan(x)sec(x)$

3 0

3 years ago

Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would

Viktor [21]

The answer is 594 miles

4 0

3 years ago

What is the total resistance of a parallel circuit that has two loads? Load one has a resistance of 10 ohms. Load two has a resi

Romashka-Z-Leto [24]

Answer:

The total resistance is $7.0588\Omega$

Step-by-step explanation:

Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: $R_1=10\Omega$ and $R_2=24\Omega$ .

First step: find the total current

For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors ( $R_1$ and $R_2$ ).