66 to 40 as a simple fraction

Which equation could be solved using the graph above?

Oduvanchick [21]

Answer:

Option b is the correct answer

Step-by-step explanation:

The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.

The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.

Looking at the parabola formed from the plotted points, it cuts the x axis at

x = -1 and x= -2

These are the factors of the equation. To get the equation, we multiply the factors.

x= -1, x +1 = 0

x =-2 , x + 2= 0

The equation is (x+1)(x+2)

Expanding the brackets,

x×x + x×2 +1×x + 1×2

= x^2 + 2x + x +2

= x^2 + 3x +2 = 0

Option b is the correct answer

6 0

3 years ago

Which statement best describes a polygon?

timofeeve [1]

I don't think all of the answer choices are here since they are all the same except for 4. However, the best statement to describe a polygon is that it is a closed plane figure with three or more sides that are straight. The correct answer is A.

6 0

4 years ago

Can someone please help me

Aleks04 [339]

Answer:75

Step-by-step explanation: Find the area of the triangle which is 1/2 base times height. The base is 9 while the height is 4+5+1 which is 10. 10 times 9 is 90 and half of 90 is 45. Then find the area of the rectangle which is length times width which is 5 times 3 which is 15. Then subtract 15 from 90 which gets you the answer 75.

7 0

3 years ago

Read 2 more answers

Given the quadratic function : f(x)=x^24x-12<br> Find the vertex.<br> Can you show the steps?!?

vlada-n [284]

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)} \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)$

6 0

3 years ago

The following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear

VladimirAG [237]

Answer:

Mean =25.78

Median =20

Step-by-step explanation:

given that the following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.

40, 30, 6, 10, 30, 18, 15, 20, 36

Let us find the sum of these 9 entries

Sum = 205

a) Mean = $\frac{205}{9} =22.78$

b) Median of this data set is the middle entry after arranging in ascending order

Here it would be the 5th entry

6,10, 15, 18,20, 30, 30, 36, 40

Median = 20

6 0

3 years ago