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3 years ago

Solve for x please. I need step-by-step explanation. Thank you.

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Step-by-step explanation:

$(7x)^x=7^{7^7}$

log both sides:

$log_7(7x)^x=log_7(7^{7^7})$
$xlog_7(7x)=7^7$
$x(1 +log_7x) = 7*7^6$
$x(1 +log_7x) = 7^6(1+6)$
$x(1 +log_7x) = 7^6(1+log_77^6)$

Compare both sides to get:

$x=7^6$

$x=117649$

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Answer:

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3 years ago

Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.

k0ka [10]

Answer:

Yuri is not correct.

Step-by-step explanation:

Given expression is q(x) = 6x³ + 19x² - 15x - 28

If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0

Similarly, for x = $\frac{3}{4}$ ,

$q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28$

= $6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28$

= $(\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28$

= $(\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}$

= $-\frac{1666}{64}$

= $-\frac{833}{32}$ ≠ 0

Therefore, Yuri is not correct. x = $\frac{3}{4}$ can not be a root of the given expression.

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3 years ago

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You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length.

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Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

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Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns = $18.75

in (26 + 13/60) hours Frieda earns = $18.75((26 + 13/60)) = 487.5 + 4.06

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2 years ago

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