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2 years ago

Solve the equation below using a graphing

Mathematics

1 answer:

UNO [17]2 years ago

6 0

Answer:

Step-by-step explanation:

The given equation is:

$e^x-\ln 2x = 3.7$

Moving all terms to the left side:

$e^x-\ln 2x - 3.7=0$

Now we define a function:

$y=f(x)=e^x-\ln 2x - 3.7$

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

x = 1.57

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chubhunter [2.5K]

<span>Standard deviation for mean of n objects = (square root n) x s.d. for one
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3 years ago

Check each graph below that represents a function

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Answer:

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3 years ago

Read 2 more answers

A state senator believes that 25% of all senators on the finance committee will strongly support the tax proposal she wishes to

sp2606 [1]

$P(X=x)= nC_xp^x(1-p)^{n-x}$ Number of Senators be n=5
Probability that the Senators will strongly support the tax proposal be $p=\frac{25}{100}=0.25$
Let X be the number of Senators will strongly support the tax proposal.
Using Binomial Distribution,
$P(X=x)=nC_xP^x(1-p)^{n-x}$
Now Plug in the values of n and p,
$P(X=x)=nC_xp^x(1-)^{n-x} [\tex] To find the probability that 3 out of the 5 Senators will support the tax proposal is [tex] P(X= 3)=5C_3(0.25)^3(1-0.25)^{5-3}\\ =0.08789$

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2 years ago

Which function has zeros at x = -2 and x = 5?

OlgaM077 [116]

Answer:

f(x) = x² - 3x - 10

Step-by-step explanation:

Given zeros x = - 2 and x = 5, then the corresponding factors are

(x + 2) and (x - 5) , so

f(x) = (x + 2)(x - 5) ← expand using FOIL

= X² - 3X - 10

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3 years ago

Graph the quadrilateral WXYZ with vertices W(–4, –1), X(–6, 1), Y(–8, –1), and Z(–6, –3). Rotate the figure 90° counterclockwise

Anika [276]

<h2>Answer:</h2>

Option C

<h2>Step-by-step explanation:</h2>

When you rotate a point you could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation. Rotating a whole shape means we're rotating every point in the shape.

On the coordinate plane, consider the point (x,y). To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

$(x,y)\rightarrow(-y,x)$

By applying this rule to every point we have:

$W(-4, -1) \rightarrow W'(1, -4) \\ \\X(-6, 1) \rightarrow X'(-1, -6) \\ \\ Y(-8, -1) \rightarrow Y'(1, -8) \\ \\ Z(-6, -3) \rightarrow Z'(3, -6)$

The figure below shows the original shape in green while the rotated shape is the one in red. As you can see, this figure matches the option C.

3 0

3 years ago