One pound of nuts costs $2.80. Aaron bought 2 pounds of nuts. He gave the clerk a $10.00 bill. How much change did he get?

frozen [14]

Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

3 0

2 years ago

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B50x%7D%20%20-%20%20%5Csqrt%7B18x%7D" id="TexFormula1" title="\sqrt{50x} - \sqrt{18

jeka57 [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

The nurse is taking care of a patient who has an order for Levaquin (Levofloxacin) 605 mg orally q6h. The pharmacy sends Levofla

MariettaO [177]

The nurse will give 12.1 milliliters of Levofloxacin

<h3>What are metric units?</h3>

These are the units that are used to measure quantities, and they can be converted among one another

The given parameters are:

Size = 605 mg
Dose = 50mg/5 mL

The number of milliliters the nurse will give is calculated by dividing the size by the dose, as follows:

$n = \frac{Size}{Dose}$

So, we have:

$n = \frac{605mg}{50mg/mL}$

Cancel out the common units

$n = \frac{605}{50/mL}$

This gives

$n = \frac{605}{50}mL$

Divide 605 by 50

$n = 12.1 mL$

Hence, the nurse will give 12.1 milliliters of Levofloxacin

Read more about unit factors at:

brainly.com/question/15369782

5 0

2 years ago

Solve each exponential equation. round your answer to two decimal places.

notka56 [123]

4a.4²x +3=1

Slotuion:

4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

$\frac{16 \times }{16} = [tex] \frac{ - 2}{16}$

[/tex]

Simplitfy

$\frac{16 \times }{16} : x$

Simplify

$\frac{ - 2}{16}: -⅛$

x = -⅛

therefore the answer is x= -⅛

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

$\large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}$

7 0

2 years ago

Read 2 more answers