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3 years ago

Find the exact solution of the equation. 7^x=8

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

$log_{7}(8)$

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How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

2 years ago

Sierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a do

lozanna [386]

Answer:

Sierra's profit was $41.

Step-by-step explanation:

Sierra realized she lost two-third of a dollar each hour when the shop was closed.

The expression that models this situation is, ............. (1)

Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.

So, putting h = 6 hours in the equation (1) we get,

dollars.

So, Sierra's profit was $41. (Answer)

Step-by-step explanation:

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3 years ago

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Complete the function for this graph.

neonofarm [45]

Answer:

(1,4) I THINK

Step-by-step explanation:

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2 years ago

What is two and two thirds plus one and one half

Yuki888 [10]

the answer it four and one sixths

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3 years ago

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Find the volume of the cylinder in terms of pi h = 6 in. and r = 3 in. A 54π in.3 B108π in.3 C324π in.3 D 27π in.3

Orlov [11]

Answer:

Option A. $54\pi\ in^{3}$

Step-by-step explanation:

we know that

The volume of the cylinder is equal

$V=\pi r^{2}h$

where

r is the radius of the base of cylinder

h is the height of the cylinder

we have

$r=3\ in$

$h=6\ in$

substitute

$V=\pi (3)^{2}(6)$

$V=54\pi\ in^{3}$

3 0

2 years ago