Answer:
1) y = 0.3x + 1000
2) slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3) y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4) The salary is $2500
Step-by-step explanation:
1)
monthly salary = fixed part + variable part
The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.
The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x
Let the monthly salary = y.
y = 1000 + 0.3x
y = 0.3x + 1000
2)
slope = 0.3
The slope is the fraction of the monthly sales that is added to your salary.
3)
y-intercept = 1000
The y-intercept is the fixed part of the salary, $1000.
4)
In this case, x = 5000
y = 0.3x + 1000
y = 0.3(5000) + 1000
y = 1500 + 1000
y = 2500
The salary is $2500.
Answer:
3, 5, 7, 9, 11, .........
Step-by-step explanation:
Given
= n(n + 2) , then
S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3
S₂ = 2(2 + 2) = 2(4) = 8
S₃ = 3(3 + 2) = 3(5) = 15
Thus
a₂ = S₂ - S₁ = 8 - 3 = 5
a₃ = S₃ - S₂ = 15 - 8 = 7
The first 3 terms are 3, 5, 7
This is an AP with common difference d = 2, then
a₄ = a₃ + 2 = 7 + 2 = 9
a₅ = a₄ + 2 = 9 + 2 = 11
and so on
(-3,-5)(2,4)
slope(m) = (4 - (-5) / (2 - (-3) = (4 + 5) / (2 + 3) = 9/5
y - y1 = m(x - x1)
slope(m) = 9/5
(2,4)...x1 = 2 and y1 = 4
sub
y - 4 = 9/5(x - 1)....this is the correct answer
the student figured the slope wrong....it is 9/5...not -9/5
Note that rotation will not affect the shape and size of an object.
Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.
Hence, the statements
The corresponding angle measurements in each triangle between the pre-image and the image are preserved and
The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved
are true.
Answer:
= this is that two expression two equal numbers