Answer:
x = 101°
Step-by-step explanation:
the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°
47 + 32 + x = 180
79 + x = 180
x = 101°
The coordinates of the vertex for the quadratic function are given as follows: (100,10).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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Answer:
The first 5 terms are 2, 5, 8, 11, 14.
Step-by-step explanation:
- You use the formula to find out each term.
- f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
- Now to find each term:
- n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
- n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
- n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
- n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
- n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14
So the first 5 terms are 2,5,8,11,14
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2
- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2
Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2.
Your answer should be no solution.
