17) replace the given number for "x" and evaluate
a) x² + 2x + 1 ; when x = 3
3² + 2(3) + 1
= 9 + 6 + 1
= 16
b) x² + 2x + 1 ; when x = -4
(-4)² + 2(-4) + 1
= 16 - 8 + 1
= 9
c) x² + 2x + 1 ; when x = 3
(-22.872)² + 2(-22.872) + 1
= 523.128384 - 45.744 + 1
= 478.384384
18) The dependent variable is affected by the other variable and is the "output" The independent variable is the input.
a) y = 3x - 5; "x" is the independent variable
b) the time of day is the independent variable (you would input the time of day to calculate the temperature).
19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.
Answer:
$49
Step-by-step explanation:
Given that the discounted price is $43.61 and this was at an 11% discount
hence the discounted price represents 100% - 11% = 89% of the original price.
if:
89% of original price = $43.61
1% of original price = $(43.61 / 89)
100% of original price = $(43.61 / 89) x 100 = $49
Answer: -209
Step-by-step explanation:
Formula for arithmetic progression
= a + (n - 1)d
Since a10 = 1 and d = -6
a10 = a + 9d
a + 9(-6) = 1
a - 54 = 1
a = 1 + 54
a = 55
Therefore, 45th term = a + (n - 1)d
= a + (45 - 1)d
= a + 44d
= 55 + 44(-6)
= 55 - 264
= -209
Answer:
yes
Step-by-step explanation:
