[ Answer ]
[ Explanation ]
4(y + 6) - 2(y - 2)
[Expand] 4(y + 6): 4y + 24
4y + 24 - 2(y - 2)
[Expand] -2(y - 2): -2y + 4
4y + 24 - 2y + 4
[Simplify] 4y + 24 - 2y + 4: 2y + 28
= 2y + 28
Answer:
y = 0.2x + 37
Step-by-step explanation:
A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Ringular plan.
(x, y) = (minutes, cost)
(110, 59)
(600, 157)
slope = m = dy/dx
dy/dx = change in y/change in x
m = dy/dx
m = (157 - 59)/(600-110)
m = 98/490
m = 0.2
a) the linear equation:
y - 59 = 0.2(x - 110)
y - 59 = 0.2x - 22
y = 0.2x - 22 + 59
y = 0.2x + 37
Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.
Answer:
The condition for r is the following:
And for this case if we analyze the options the only impossible value is given by:
1.0528
Because this value is higher than 1 and not satisfy the general limits for r
Step-by-step explanation:
The correlation coefficient is a measure of dispersion and is a value between -1 and 1, and is defined as:
The condition for r is the following:
And for this case if we analyze the options the only impossible value is given by:
1.0528
Because this value is higher than 1 and not satisfy the general limits for r
Answer:
1)247 + 211 = 458
2)458 - 211 = 247
Step-by-step explanation: