All categories

2 years ago

What is binomil (2a–1)(a–3)

Mathematics

2 answers:

Novosadov [1.4K]2 years ago

5 0

Answer:

$2a^2-5a+3$

Step-by-step explanation:

2a(a-3)-1(a-3)=

2a^2-6a-a+3=

2a^2-5a+3

nevsk [136]2 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

2 years ago

Which of the following has no effect on the monthly payment?

jeka94

Answer:

length of buyers driving record

Step-by-step explanation:

it just is because the driving record has nothing to do with monthly payments

4 0

2 years ago

Please help, it's urgent!

Aneli [31]

For this case we have to, by defining properties of powers and roots the following is fulfilled:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We must rewrite the following expression:

$\sqrt [3] {8 ^ {\frac {1} {4} x}}$

Applying the property listed we have:

$\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}$

Using the property again we have to:

$8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}$

Thus, the correct option is option C

Answer:

Option C

6 0

2 years ago

Read 2 more answers

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of app

a_sh-v [17]

1.425 gallons/bottle.

<h3>Further explanation</h3>

<u>Given:</u>

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

<u>Question:</u>

What is the amount of apple juice in each container (or bottle)?

<u>The Process:</u>

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

<u>Step-1:</u> the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

<u>Step-2:</u> the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

<u>Quick steps:</u>

$\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

<h3>Learn more</h3>

What is the cost of the toy car? brainly.com/question/5282516
How much netting did Mrs.Nguyen use per goal? brainly.com/question/13174287
Mr. Frye distributed his money equally among his 4 children for their weekly allowance. brainly.com/question/13174288#

Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

7 0

2 years ago

Read 2 more answers

The number of cats at a pet store is

mezya [45]

Answer:

Step-by-step explanation:

Let the number of dogs be x.

x(75%)=60

x=60/0.75

x=80

7 0

2 years ago