Answer:
The term was obtained by grouping and adding the all x terms in the expression.
Step-by-step explanation:
The example has already provided this step:
(x -4) +(x +1) +(¼x +5)= 
Thus, the question is asking how is 
derived from the expression.
The attached picture shows the intermediate working to arrive at the final perimeter expression.
This expression is later equated to 20 since it is given that the perimeter of the traingle is 20 inches.
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
The correct answer is 85 points in each contest
Explanation:
To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.
In the first five contests, she obtained 68 points average
5 x 68 = 340 points in the first five contests
In the three following contests, she obtained 80 points on average
3 x 80 = 240 points
Now, let's add the points and find how many points she is missing to reach 750 points
340 + 240 = 580
750 - 580 = 170
Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.
170 ÷ 2 = 85 points
Maddie needs to get 85 points on average to complete her goal of 750 points
Answer:
no
Step-by-step explanation:
it does not equal -2.
3 yards/3 walls = 1 yard per wall
Area = Length * Width
Area = 1 * 1 = 1 square yard
