All categories

2 years ago

Let f(x) = 3x + 7. Find f '(x).

Mathematics

1 answer:

snow_lady [41]2 years ago

3 0

The inverse of f(x) is when you switch the position of the x's and y's (or f(x))

x=3y+7, and then isolate the y so you get a normal function

(x-7)/3

You might be interested in

Factorise completely 3m^2-48

Helen [10]

Answer:

3 (m^2 - 16)

Step-by-step explanation:

factoring means taking out a common multiple of all the terms in the expression

in this case, if you multiply 3 and m^2, 3 and -16, you would get 3m^2-48

so you take the three and put it outside of the parenthesis that contains the factored terms

this leaves you with 3 (m^2 - 16)

3 0

3 years ago

Joe helped his soccer coach pass out equipment to the 13 players on the team. He gave each player 4 soccer balls and 3 cones. Wh

vekshin1

He passed out 91 objects. 13 x 4 = 52 + 39 = 3 x 13

3 0

3 years ago

Read 2 more answers

Yo please help

Alex Ar [27]

Answer:

Options 1, 3 and 4 are true

Step-by-step explanation:

The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,

$DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units$

Find trigonometric functions:

$\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

$\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

$\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}$

$\sin \angle E=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{DF}{DE}=\dfrac{7}{25}$

Thus, options 1, 3 and 4 are true

5 0

3 years ago

Read 2 more answers

When the coordinates (1, 1), (4, 4), (7, 1), and (4, −2) are joined, which shape is formed? (5 points)

Citrus2011 [14]

well, if we try to plot and conect them, we will get square, so the answer is d

4 0

3 years ago

Now that his car is 5 years old, he would like to know whether the variability of gas mileage has changed. He recorded the gas m

Kamila [148]

Answer:

Now that his car is 5 years old, he would like to know whether the variability of gas mileage has changed. He recorded the gas mileage from his last eight fill-ups; these are listed here. Conduct a test at a 10% significance level to infer whether the variability has changed.

Step-by-step explanation:

6 0

3 years ago