An American flag has a length that is 1.9 times it's width. What is the area of a flag that has a length of 9.5 feet?

Factorize x <img src="https://tex.z-dn.net/?f=x%20%5E%7B3%7D%20-%203x%20-%202%20" id="TexFormula1" title="x ^{3} - 3x

geniusboy [140]

$x ^{3} - 3x - 2$

x³-2x²+2x²-3x-2

x²(x-2)+2x²-4x+1x-2

x²(x-2)+2x(x-2)+1(x-2)

(x-2)(x²+2x+1)

(x-2)(x+1)(x+1)is a required answer.

4 0

3 years ago

A turkey cost $1.05 per pound. There are going to be 15 people at the Thanksgiving dinner. Plan for each person to eat two, 3/8

lina2011 [118]

Answer:

It will take 135 minutes or 2 hours and 15 minutes

Step-by-step explanation:

What we need here is to get the total

amount in pounds of turkey to be cooked

each person eats 3/8 pound servings

Total pound per person would be 3/8 * 2 = 3/4 pound servings

From what we have, there are 15 people at the dinner,

The total pounds to cook will be

15 * 3/4 = 45/4 pounds

Per pound of turkey, it takes 12 minutes

For 45/4 pounds, it will take

45/4 * 12 = 135 minutes

Let us convert this to hours

That will be 2 hours and 15 minutes

7 0

3 years ago

Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry

inna [77]

To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c

So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.

The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)

Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).

6 0

3 years ago

Solve the system, using any method. y = x + 2 and x + 2y = 25

Leni [432]

$Elimination\ method\\\\\left\{\begin{array}{ccc}y=x+2&|subtract\ "x"\ from\ both\ sides\\x+2y=25\end{array}\right\\+\left\{\begin{array}{ccc}-x+y=2\\x+2y=25\end{array}\right|add\ the\ equations\ sides\ \\\----------\\.\ \ \ \ \ \ \ 3y=27\ \ \ \ \ |divide\ both\ sides\ by\ 3\\.\ \ \ \ \ \ \ \ \ \ y=9\\\\subtitute\ y=9\ to\ second\ equation\\x+2(9)=25\\x+18=25\ \ \ \ \ \ \ |subtract\ 18\ from\ both\ sides\\x=7\\\\Solution:x=7\ and\ y=9\to(7;\ 9)$

3 0

3 years ago

Read 2 more answers

Need an answer please

finlep [7]

Where is your question?! please dont post pictures.

8 0

3 years ago