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2 years ago

Write the inverse of the function: f (x) = 2x+3

Mathematics

1 answer:

34kurt2 years ago

6 0

Answer:

$y = \frac{x - 3}{2}$

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. $y = 2x + 3$ becomes $x = 2y + 3$ . Now, solving for y, we get $y = \frac{x - 3}{2}$ .

hope this helped! :)

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Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$

Given that Josie drove 45 minutes at 70 miles per hour.

$45 \ minutes= \frac{45}{60}\ h=\frac34\ h$

In 45 minutes, she traveled = $(70\times \frac34) \ miles$

=52.5 miles.

The she drove 15 minutes at 20 mile per hour.

$15 \ minutes= \frac{15}{60}\ h=\frac14\ h$

In 15 minutes, she traveled $=(20\times \frac 14) \ miles$

=5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

3 0

3 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

X=4 in the equation e^lnx = 4. Why is this so? Can you go through the steps/rules

olga nikolaevna [1]

Answer:

e^(ln x) is just plain x

Step-by-step explanation:

The functions f(x) = e^x and g(x) = ln x are inverses of one another. In other words, one "undoes" the other.

Thus, as the rule goes, e^(ln x) is just plain x.

Here, e^(ln x) = 4 simplifies to x = 4.

7 0

3 years ago

Aaron found rhe length of the diagonal of a rectangle to be an irrational number. What could be the lenght of the diagonal

Amanda [17]

Answer:

See below

Step-by-step explanation:

It could be a positive square root l like √10 ( the number not being a perfect square).

He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length √(3^2 + 1^2) = √10.

He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.

7 0

3 years ago

I NEED MATH HELP, QUICK! PLEASE HELP ME!

Pavlova-9 [17]

When x is -1 Y will equal -1

8 0

3 years ago