3 years ago

How to solve the following equation: 5²(2x-3)=100

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

6 0

The answer is x=7/2 or 3.5

Y_Kistochka [10]3 years ago

6 0

5^2 = 25, 25 • 2x = 50x, 25 • 3 = 75

That gives you 50x - 75 = 100

100 - 75 = 25

That gives you 50x = 25

25/50 = 0.5

Final answer x = 0.5

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Step-by-step explanation:

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3x+2

5x-7

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3 years ago

Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

balu736 [363]

Given:

The function is

$f(x)=\left(\dfrac{1}{3}\right)^x$

To find:

The missing values for a, b, and c in the given table.

Solution:

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At x=-2,

$f(-2)=\left(\dfrac{1}{3}\right)^{-2}$

$a=\left(3\right)^{2}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

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At x=-1,

$f(-1)=\left(\dfrac{1}{3}\right)^{-1}$

$b=\left(3\right)^{1}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$b=3$

At x=0,

$f(0)=\left(\dfrac{1}{3}\right)^{0}$

$c=1$ $\left[\because a^0=1, a\neq 0\right]$

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0

3 years ago

Read 2 more answers

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