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3 years ago

How do you rewrite a expression using the base number only once? ex. 5^(-2)5^(-4)5^(8)

Mathematics

2 answers:

kati45 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

horsena [70]3 years ago

3 0

Answer:

Rewrite the expression= 5^2

Step-by-step explanation:

With the same base number of 5, one adds the exponents.

In this case 5^-2*5^-4*5^8 8-6=2 as the exponent

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Answer: b

Step-by-step explanation:

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3 years ago

Read 2 more answers

The table of values represents an exponential function f(x).

Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

$\dfrac{f(b)-f(a)}{b-a}$

Given interval: -2 ≤ x ≤ 2

$\implies a = -2$

$\implies b = 2$

$\implies f(a) = f(-2)=16$

$\implies f(b) =f(2)= \dfrac{1}{16}$

Substituting the values into the equation:

$\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}$

7 0

2 years ago

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

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4 years ago

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r-ruslan [8.4K]

Study..................................................

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3 years ago

It is 90 ft from home plate to first base on a baseball diamond. How long will it take a batter to reach first base if the batte

vitfil [10]

Answer:

It would take the batter 6 seconds to reach 1st base

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3 years ago

How do you rewrite a expression using the base number only once? ex. 5^(-2)*5^(-4)*5^(8)

How do you rewrite a expression using the base number only once? ex. 5^(-2)5^(-4)5^(8)