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4 years ago

5

I need help with this question

1 answer:

MatroZZZ [7]4 years ago

5 0

The sequence of keystrokes directs the calculator to compute

$\dfrac{5\cdot 10^{-9}}{2\cdot 10^4}=\dfrac{5}{2}\cdot 10^{(-9-4)}=2.5\cdot 10^{-13}$

The display will read ...

... A) 2.5E-13

_____

You can enter these keystrokes on your calculator and get the answer immediately.

___

Actually, it is very likely Samuel's calculator displayed 2E4, since the key for "=" has not been pressed.

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PLZ HELP IM 100% LOST ON THIS

xenn [34]

The equation $f(x)=g(x)$ is

$|x-4|-11=-\sqrt{5x}$

Some observations:

$\sqrt{5x}$ is defined only as long as $5x\ge0$ , or $x\ge0$
wherever $\sqrt{5x}$ is defined, its value must be non-negative, so that $-\sqrt{5x}$ is never positive
by the definition of absolute value, we have $|x-4|=x-4$ if $x\ge4$ , and $|x-4|=-(x-4)=4-x$ if $x$ . Then

$|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x$

If $x$ , the equation becomes

$-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}$

Taking the square of both sides gives

$(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0$

but since the discriminant is $9^2-4\cdot1\cdot49$ , there are no real solutions.

If $x\ge4$ , then

$x-15=-\sqrt{5x}$

Taking squares gives

$(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x$

and solving by the quadratic formula gives two potential solutions,

$x=\dfrac{35\pm5\sqrt{13}}2$

which have approximate values of 8.49 and 26.51.

We know for any value of $x$ that $g(x)\le0$ . We have $f(8.49)\approx-6.51$ and $f(26.51)\approx11.51$ , so only the first solution 8.49 is valid.

8 0

4 years ago

14 A box of 10 coloured pencils costs $7.50. These pencils can also be bought

saul85 [17]

Answer:the box: .75 each

individually: .72 each

individually is the best deal to buy the pencils. you save .02 per pencil

Step-by-step explanation:

8 0

3 years ago

In the following proportion, what does x equal? A. 4.6 B. 5.4 C. 6.1 D. 6.8

katen-ka-za [31]

Answer:A 4.6

Step-by-step explanation: 40/8=5; 23/5=4.6

6 0

4 years ago

Find the horizontal or oblique asymptote of f(x) = 2 x squared plus 5 x plus 6, all over x plus 3 . (5 points)

slega [8]

Answer:

2x-1

Step-by-step explanation:

the answer is the second option. I just took the test

4 0

3 years ago

How many 14 inch cubes does it take to fill a box with width 314 inches, length 234 inches, and height 114 inches?

Nesterboy [21]

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

3 0

3 years ago