PLEASE HELP!

Mathematics

1 answer:

pshichka [43]4 years ago

3 0

Answer:

The multiplicative rate of change is 4

Step-by-step explanation:

The multiplicative rate of change is the common ratio of the exponential growth curve.

The given exponential growth curve is

$f(x) = 2 \times {4}^{x}$

This function tells us that, when x=0, f(0)=2.

The subsequent terms can be obtained by multiplying by 4 repeatedly.

Therefore the multiplicative rate of change is 4.

The correct answer is option 2

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Simplify the expression below.

olasank [31]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}
\\\\
-------------------------------\\\\$

$\bf \cfrac{14a^8y^3-7a^4y^5+28a^{12}y^2}{7a^4y}\impliedby 
\begin{array}{llll}
\textit{let us first, distribute}\\
the~denominator
\end{array}
\\\\\\
\cfrac{14a^8y^3}{7a^4y}-\cfrac{7a^4y^5}{7a^4y}+\cfrac{28a^{12}y^2}{7a^4y}
\\\\\\
\cfrac{14}{7}a^8a^{-4}y^{-1} y^3-\cfrac{7}{7}a^4a^{-4}y^{-1} y^5+\cfrac{28}{7}a^{12}a^{-4}y^{-1} y^2
\\\\\\
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\\\\\\
2a^4y^2-1\cdot 1y^4+4a^8y\implies 2a^4y^2-y^4+4a^8y$

4 0

3 years ago

The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)

d1i1m1o1n [39]

You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
$2(x- \frac{3}{2})^{2} = \frac{18}{4}-c$
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the $\frac{18}{4}-c$ equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
$\frac{18}{4}-c= \frac{1}{2}$ and $\frac{18}{4}- \frac{2}{4}=c$
$\frac{16}{4}=c$ and c = 4. So that's our answer!

5 0

4 years ago

Given the function f(x)=-2x+x, find f(7)

Allisa [31]

Answer:

f(7)= -7

Step-by-step explanation:

f(x)= -2x+x f(7) which basically means x=7

= -2(7)+7

= -14+7

f(7) = -7

Hope this helps :)