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miss Akunina [59]

3 years ago

11

Evaluate the function

1 answer:

Alja [10]3 years ago

8 0

I don't know a lot about math

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A washer and a dryer cost $562 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?

Yanka [14]

Answer:

<em>Let the dryer cost x.</em>

<em>Then, the washer costs (x+87)</em>

<em> </em>

<em>Together, they cost (x) + (x+87) = 787</em>

<em> 2x+87 = 787</em>

<em> 2x = 700 [subtract 97 from both sides]</em>

<em> x = 350 [divide both sides by 2]</em>

<em> </em>

<em>The dryer cost $350.</em>

<em> </em>

<em>Check: The washer cost $437. Together, they cost $787 [good to check, right?]</em>

<em></em>

<em><u>Hope this helps...</u></em>

8 0

3 years ago

Read 2 more answers

10 POINTS! Answer ASAP

ratelena [41]

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

8 0

3 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

algol [13]

Answer:

0

Step-by-step explanation:

We have the two functions:

$f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}$

And we want to find (f-g)(144).

This is the same thing to f(144)-g(144).

So, let’s determine the value of f(144) and g(144) first:

$\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}$

And:

$\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}$

Hence:

$\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}$

Our final answer is 0.

6 0

3 years ago

Read 2 more answers

How to do this question -14=k-4

Furkat [3]

Answer: hope this helps .

Step-by-step explanation:

3 0

3 years ago