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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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Adam went on a 54 \text { km}54 km54, start text, space, k, m, end text hike. He divided the distance traveled evenly over 666 d

astra-53 [7]

Answer:

9000 metres

Step-by-step explanation:

He went on a 54 km hike. First, we have to find this distance in metres.

1 km = 1000 m

54 km = 54 * 1000 = 54000 m

He divided the distance evenly over 6 days.

To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:

54000 / 6 = 9000 metres

He walked 9000 metres each day.

8 0

2 years ago

It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sampl

leva [86]

Answer:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.23)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find the following probability:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

5 0

3 years ago

Eliza is two years younger than half her brother, Juan’s age. Write an equation to represent Eliza’s age. If Juan is 6 how old i

Natalka [10]

X = Juan's age
y = Eliza's age

Some key words/phrases we can use to help us make the equation are:

-is (whatever comes after this word usually equals the end result, or what it equals)
-two years younger
-than
-half her brother's age
.
just break it down :)

x/2 (half her brother's age) - 2 (two years younger) = y (Eliza is...)

| basically,
v

x/2 - 2 = y
So if Juan is 6, then we need to plug in 6 for x.

6/2 - 2 = y

3 - 2 = y

1 = y

ANSWER: Eliza is one year old.

6 0

3 years ago

4. Here is a linear equation: y=1/4 x + 5/4

4vir4ik [10]

Step-by-step explanation:

"Solutions to the equation" just means that they are points on the line. To find out if these two points land on this line, plug each one in, like this:

1.5 = (1/4)(1) + (5/4)

1.5 = (1/4) + (5/4)

1.5 = (6/4)

1.5 = 1.5

Since the expression is true, this point is on the line.

Do the same process for the second point (remember a point is formatted (x,y)) and see if it is also a point on the line.

To find the x-intercept, simply plug in 0 for y and see what you get. It should look like (x,0).

7 0

2 years ago

The angle 118 degrees is also equal to

LekaFEV [45]

I don't understand your question

8 0

3 years ago