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2 years ago

Given f(x) = -x + 6 write an equation for f(x + 3).

Mathematics

1 answer:

givi [52]2 years ago

6 0

Answer:

-fx +9f

(i think)

Step-by-step explanation:

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What is 5 1/4 divided by 7?

NARA [144]

ANSWER: I think it’s 3/4

4 0

3 years ago

Read 2 more answers

Find the measure of the indicated angle to the nearest degree.

fredd [130]

Step-by-step explanation:

Let the measure of required angle be x degree

$\therefore \tan \: x = \frac{33}{56} \\ \\ \therefore \tan \: x = 0.589285714 \\ \\ \therefore \: x = {\tan}^{ - 1} (0.589285714) \\ \\ \therefore \: x = {\tan}^{ - 1} ( \tan \: 30.510237394 \degree) \\ \\ \huge \red{ \boxed{\therefore \: x = 31\degree}}$

Thus, first option is the correct answer.

3 0

3 years ago

Which is the value of the rational expression 6-x/x+5 when x=2

Allisa [31]

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

8 0

3 years ago

The world population is projected to be 6.7 billion in 2040. At that time, there are expected to be approximately 2 billion mor

Charra [1.4K]

$\bf \begin{cases}
s=\textit{Asia's population}\\
a=\textit{Africa's population}\\
r=\textit{rest of the world}\\
----------\\
\boxed{s}=a+2\\
\boxed{r}=\frac{s}{2}+0.2
\end{cases}\implies 
\begin{array}{llll}
s+a+r=6.7\\\\
\boxed{a+2}+a+\boxed{\cfrac{s}{2}+0.2}=6.7\\\\
a+2+a+\cfrac{\boxed{a+2}}{2}+0.2=6.7
\end{array}$

solve for "a", to see what Africa's population will then be

5 0

3 years ago

For fun question

ZanzabumX [31]

Consider the function $f(x)=x^{1/3}$ , which has derivative $f'(x)=\dfrac13x^{-2/3}$ .

The linear approximation of $f(x)$ for some value $x$ within a neighborhood of $x=c$ is given by

$f(x)\approx f'(c)(x-c)+f(c)$

Let $c=64$ . Then $(63.97)^{1/3}$ can be estimated to be

$f(63.97)\approxf'(64)(63.97-64)+f(64)$
$\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375$

Since $f'(x)>0$ for $x>0$ , it follows that $f(x)$ must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function $f(x)$ . This means the estimated value is an overestimation.

Indeed, the actual value is closer to the number 3.999374902...

4 0

3 years ago