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prohojiy [21]
3 years ago
11

Which function represents the graph of y=4x−1?

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

y=4^x −1

x intercept is the point when y = 0, so you sub in 0 for y:

0 = 4^x - 1

4^x = 1

Any number excluding 0 that is raised to the the exponent 0 always equals 1, 0^0 is undetermined.

x = 0

x intercept = (0,0)

If the x intercept is at the origin (0,0) than the y intercept is also (0,0)

s is the only line that passes through (0,0)

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What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove
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Answer:

The solutions are:

b=0,\:b=4

Step-by-step explanation:

Considering the expression

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Solving the expression

\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}

\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c

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5b^3-10=6b^3-4b^2-10

\mathrm{Switch\:sides}

6b^3-4b^2-10=5b^3-10

6b^3-4b^2-10+10=5b^3-10+10

6b^3-4b^2=5b^3

\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}

6b^3-4b^2-5b^3=5b^3-5b^3

b^3-4b^2=0

Using\:the\:Zero\:Factor\:Principle: if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

So,

b=0,b-4=0

b=0,b=4

Therefore, the solutions are:

b=0,\:b=4

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