The first five terms of the sequence are; 4,600, 4,550, 4,500, 4,450, 4,400 and the total predicted number of sold cars for the first year is 51,900 cars
<h3>Arithmetic sequence</h3>
- First month, a = 4,600 cars
- Common difference, d = -50 cars
First five terms;
a = 4,600
a + d = 4600 + (-50)
= 4600 - 50
= 4,550
a + 2d
= 4600 + 2(-50)
= 4600 - 100
= 4,500
a + 3d
= 4,600 + 3(-50)
= 4,600 - 150
= 4,450
a + 4d
= 4600 + 4(-50)
= 4,600 - 200
= 4,400
cars predicted for the twelfth month.
a + 11d
= 4600 + 11(-50)
= 4600 + 550
= 4,050
Total predicted number of sold cars for the first year:
Sn = n/2{2a + (n - 1)d }
= 12/2{2×4600 + (12-1)-50}
= 6{9200 + 11(-50)}
= 6(9,200 - 550)
= 6(8,650)
= 51,900 cars
Learn more about arithmetic sequence:
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Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function

where, |A| is amplitude,
is period,
is phase shift and D is y-intercept.
The general form of cosine function

where, |A| is amplitude,
is period,
is phase shift and D is y-intercept.
In function, 
Amplitude : 
y-intercept : -1
In function, 
Amplitude : 
y-intercept : -1
In function, 
Amplitude : 
y-intercept : 0
In function, 
Amplitude : 
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
B. 12 square ft C. 63 square ft
Step-by-step explanation:
Marlena places a square rug on her living room floor, which is also a square.
Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..
And area of a square it = length ²
The result will give s a perfect square for an integer number.
A. 9 square ft = perfect square
B. 12 square ft = not perfect square
C. 63 square ft =not perfect square
D. 81 square ft= perfect square
So the ones that are not perfect squares Is the answer to the question
The answer to this question is 7
To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.
Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line.
y = x² - 5x + 7
dy/dx = slope = 2x -5
Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.
2x - 5 = 3
x = 4
Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3
Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.
y = 3x + c
3 = 3(4) + c
c = -9