All categories

3 years ago

A certain isotope decays so that the amount A remaining after t years is given by:

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

You might be interested in

How to multiply a whole number by a fraction like 4/6 x 4 etc .

jeka57 [31]

Answer:

See below, please!

Step-by-step explanation:

To multiply a whole number by a fraction, set up both numbers so that they have a numerator and denominator, multiply the corresponding parts, and simplify.

Ex: $\frac{4}{6}*\frac{4}{1}$ . Both of them are in fraction form, right? Now multiply the numerator and denominator together. Doing this, you get 16/6. Now simplify. Look for a common factor between both the numerator and denominator. We can see that one common factor is 2. So, our simplified fraction is 8/3.

Hope this helped!

6 0

2 years ago

$1500 computer 7% tax

lina2011 [118]

Answer:

$1605

Step-by-step explanation:

since 100% = 1, just multiply 1 (100% aka given price) and 0.07 (7%) by 1500:

1500(1.07)

= 1605

the computer with tax added would be $1605

3 0

3 years ago

Read 2 more answers

a stack of 4 books weigh 5.2 pounds if each book weighs the same amount then how much does each book weigh

statuscvo [17]

Answer:

1.3 pounds

Step-by-step explanation:

8 0

2 years ago

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are: