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Answer:
x = 1.117
Step-by-step explanation:
Graph the two equations:
p(x) = 5x² - 3
q(x) = 2x + 1
On the graph below, the positive point of intersection is at (1.117, 3.233).
Positive x-value = 1.117.
Answer:
8 Bows
Step-by-step explanation:
I will be using money as an example.
It takes 4 quarters to make a dollar. (1/4 1/4 1/4 1/4 = 1)
By using this method we will know that it takes 24 quarters to make 6 dollars and the additional 1/4 is an extra quarter. Now that we have 25 quarters we will divide it by 3 because it takes 3/4 to make a bow.
6x4=24
24 + 1 = 25
25/3= 8.333333
First, isolate the variables to either side.
4y = -7/5x -7
Second, simplify in terms of y.
y = -7/20x - 7/4
Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.
0 = (-7/4)(1/5x +1)
1/5x + 1 = 0
1/5x = -1
x = -5
The x-intercept is (-5,0)
Fourth, plug zero in for x to find the y-intercept.
y = -7/20*(0) -7/4
y = -7/4
Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).
Answer:
Circle 1=6x+2y
Rectangle 4 = 3x+y
Circle 4 = 5x
Step-by-step explanation:
4x+3y and 2x-y can be added to find result for the circle.
Let C1 represent circle 1
4x+3y+2x-y=C1\\
Combining\:like\:terms\\
4x+2x+3y-y=C1
6x+2y=C1
So, The result is: C1=6x+2y
Now, We need to solve:
Let R1 represent rectangle 4
x+4y + R1 = 4x+5y
R1=4x+5y-(x+4y)
R1=4x+5y-x-4y
R1=4x-x+5y-4y
R1=3x+y
So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y
Now, We need to solve the equation:
Let C4= Circle 4
2x-y+3x+y=C4
Combining the like terms
2x+3x-y+y=C4
5x=C4
So, Solving 2x-y+3x+y=C4 we get C4 = 5x