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3 years ago

Is a-6 a factor of the question below?(please help its by using synthetic division)

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

Answer:

D. Yes, because the remainder is 0.

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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2 years ago

Huge 30 points if you answer

dimaraw [331]

Across the large angle is going to be large side, then AB is going to be larger than DF.

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3 years ago

If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?

Fittoniya [83]

D. 4 1/3 tablespoons

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2 years ago

3.2] I can rearrange formulas to solve for a specified variable. Solve for r. h=r-m

Lesechka [4]

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

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2 years ago

A cleaning liquid cost 10 3/4 cents the ounce. what is the cost of a 32 ounce bottle?

Andrews [41]

$343 would be the cost

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3 years ago