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Sergeeva-Olga [200]
4 years ago
15

Use the grouping method to factor 4x3 + 20x2 – 3x - 15.

Mathematics
1 answer:
Pie4 years ago
6 0

Answer:

(x-5)(4x^2+3)

Step-by-step explanation:

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A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runn
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Answer:

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vfiekz [6]

Answer:

\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})

Step-by-step explanation:

Given

\log 8 - \log x + 7\log\sqrt x

Required

Express as a single expression

We have:

\log 8 - \log x + 7\log\sqrt x

Write 7 as an exponent

\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7

Rewrite as:

\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7

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Apply quotient and product rule of logarithm

\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )

Apply law of indices

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})

Solve exponent

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})

\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})

\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})

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3 years ago
What is the measure of the angle in the picture? ​
Leni [432]
It’s 130
…………………………..
7 0
3 years ago
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