Lucy ate eight more than three times as many pretzels as Matt Lucy ate 56 pretzels how many pretzels did Matt eat

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="f(x) = \sqrt{x} " alt="f(x) =

Georgia [21]

Answer: $\dfrac{1}{2\sqrt x}$

<u>Step-by-step explanation:</u>

$\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}$

f(x) = $\sqrt x\\$

f(x+h) = $\sqrt{x+h}$

$\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}$

$=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)$

$=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}$

$=\dfrac{1}{\sqrt{x+h}+\sqrt x}$

$=\dfrac{1}{\sqrt{x+0}+\sqrt x}$

$=\dfrac{1}{2\sqrt x}$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=538%20%5Ctimes%204%20%5C%5C%20%20%5C%5C%20214%20%5Ctimes%208%20%5C%5C%20%20%5C%5C%203721%20%5C

Shalnov [3]

Answer:

Step-by-step explanation:

multiply $(538)(4)=2152\\(214)(8)=1712\\(3721)(7)=26047\\(7956)(8)=63648$

7 0

3 years ago

Write the solution in interval notation: 4v+2>-2 or 3v-5<7

kari74 [83]

For this case we must find the solution of the following inequalities:

$4v + 2> -2\ or\ 3v-5$

From the first inequality we have:

$4v + 2> -2$

Subtracting 2 from both sides of the inequality:

$4v> -2-2$

Equal signs are added and the same sign is placed.

$4v> -4$

Dividing between 4 on both sides of the inequality:

$v> \frac {-4} {4}\\v> -1$

Thus, the solution is given by all values of "v" greater than -1.

From the second inequality we have:

$3v-5$

Adding 5 to both sides of the inequality we have:

$3v$

Dividing by 3 to both sides of the inequality we have:

$v$

Thus, the solution is given by all values of "v" less than 4.

Then, the solution set is given by the union of both intervals.

The union consists of all the elements that are contained in each interval.

(-∞,∞)

Answer:

The solution set is: (-∞,∞)

8 0

3 years ago

what is 2138728392469x434949307208489237x834938629629746278346x38754382583586325683565divided by 291829382382938923928398

Iteru [2.4K]

Answer:

easy 2

Step-by-step explanation:

so first you have to go to a calculator and put 0274745775 divided by 028494576 but we all know you would get a negative but thats okay but we could just put our lucky number 2 ;) yw

7 0

3 years ago

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

sergejj [24]

You solve absolute value equations by setting the right side equal to both the positive and negative of the left side. This is because absolute value is a distance measurement. For example, -3 is 3 units from 0 on a number line just like +3 is 3 units from 0. That means for us that Ix - 72.5I is equal to 4 and -4. Let's solve both of those for x to find the range of temps for the house. When you set the absolute value equation equal to both the positive and negative values of the solution you can drop the absolute value signs and solve the resulting equations like "regular" equations. x - 72.5 = 4 so x = 76.5. x - 72.5 = -4 so x = 68.5. The minimum temp for the house is 68.5 and the max temp is 76.5. There you go!

7 0

3 years ago

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