Answer: <em>85/100 or 85%</em>
Step-by-step explanation:
<em>5 questions wrong and multiply it by 3</em>
<em>you get 15</em>
<em>100-15=</em><em>85</em>
<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
First of all, we need to plot the equation:
The graph of this equation is a parabola. The vertex of this parabola lies on the point (0, 1) and the x-intecepts are the points (-1, 0) and (1, 0). But the problem asks for the graph of<em> y greater than or equal to -x^2 + 1, </em>that is, the inequality:
To find this, we choose a point on the Cartesian plane, say, (0, 0) and let's take a look to the inequality:
So the region does't contain point (0, 0), therefore the graph is the one shown below.
First, we are going to multiply the pieces of wood by the length of each piece to find the total length she will need:
Next, we are going to convert 2262 centimeters to meters. To do that we are going to take advantage of the fact that 1 m=100cm:
Now, we just need to divide the total length of wood Marguerite needs by the length of each board of wood:
Since she will need full boards of wood, we must round 3.77 to its nearest integer 4.
We can conclude that <span>
Marguerite will need 4 boards of wood.</span>
The expression that represents the volume would be: <span>C) 6x^3+39x^2+54x</span>
Proof of the calculation:
V = Lwh
V = (x+2) (3x) (2x+9)
V= (3x^2 + 6x) (2x + 9)
V = (6x^3 + 27X^2 +12x^2 + 54x)
V = 6x^3 + 39x^2 + 54x