Answer:
g(r) = 18
Step-by-step explanation:
Substitute 10 into r
g(10) = 2( (10) -1)
= 2(9)
= 18
Answer:
y = - 5x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, thus
y = - 5x + c ← is the partial equation of the line
To find c substitute (2, 6) into the partial equation
6 = - 10 + c ⇒ c = 6 + 10 = 16
y = - 5x + 16 ← equation of line
Answer:
y = x + 2.5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points
slope = (2.5-1.5)/(0+1) = 1
equation = y-y1 = m(x-x1)
y - 2.5 = x
y = x + 2.5
Answer:
the number of circles is 3
the number of square is 9
the number of triangle is 10
Step-by-step explanation:
Let the number of square = s
let the number of circle = c
let the number of triangle = t
let the total number of the shapes = y
15 < y < 25
y = s + c + t ---- (i)
s = c + 6 ------ (ii)
c + 7 = t ------ (iii)
y = (s) + (c) + (t)
y = (c + 6) + (c) + (c + 7)
y = 3c + 13
15 < y < 25
15 < 3c + 13 < 25
15 - 13 < 3c < 25 -13
2 < 3c < 12
2/3 < c < 12/3
0.67 < c < 4
Thus, number of circle is greater 1 but less than 4
c = 3
s = 3 + 6 = 9
t = 3 + 7 = 10