Answer : 4.485
I’m pretty sure I just went with someone else answer !
Answer:
x = 4
Step-by-step explanation:
180° - 114° = 66°
15x - 6 = 66
15(4) - 6 = 66
60 - 6 = 54
Statement is wrong because we can see another angle. so...
Final answers: x = 4 while 54 + 114° = 168° then 180° - 168° = 12°
Answer:
17 k + -25
Step-by-step explanation:
Simplify the following:
-5 (1 - 5 k) - 4 (2 k + 5)
-5 (1 - 5 k) = 25 k - 5:
25 k - 5 - 4 (2 k + 5)
-4 (2 k + 5) = -8 k - 20:
25 k + -8 k - 20 - 5
Grouping like terms, 25 k - 8 k - 20 - 5 = (25 k - 8 k) + (-5 - 20):
(25 k - 8 k) + (-5 - 20)
25 k - 8 k = 17 k:
17 k + (-5 - 20)
-5 - 20 = -25:
Answer: 17 k + -25
1)
x^2 + 4x - 5
y = --------------------
3x^2 - 12
Vertcial asym => find the x-values for which the equation is not defined and check whether the limit goes to + or - infinite
=> 3x^2 - 12 = 0 => 3x^2 = 12
=> x^2 = 12 / 3 = 4
=> x = +/-2
Limit of y when x -> 2(+) = ( 2^2 + 4(2) - 5) / 0 = - 1 / 0(+) = ∞
Limit of y when x -> 2(-) = - 1 / (0(-) = - ∞
Limit of y when x -> - 2(+) = +∞
Limit of y when x -> - 2(-) = -
=> x = 2 and x = - 2 are a vertical asymptotes
Horizontal asymptote => find whether y tends to a constant value when x -> infinite of negative infinite
Limi of y when x -> - ∞ = 1/3
Lim of y when x -> +∞ = 1/3
=> Horizontal asymptote y = 1/3
x - intercept => y = 0
=>
x^2 + 4x - 5
0 = ------------------ => x ^2 + 4x - 5 = 0
3x^2 - 12
Factor x^2 + 4x - 5 => (x + 5) (x - 1) = 0 => x = - 5 and x = 1
=> x-intercepts x = - 5 and x = 1
Domain: all the real values except x = 2 and x = - 2
2) y = - 2 / (x - 4) - 1
using the same criteria you get:
Vertical asymptote: x = 4
Horizontal asymptote: y = - 1
Domain:all the real values except x = 4
Range: all the real values except y = - 1
3)
x/ (x + 2) + 7 / (x - 5) = 14 / (x^2 - 3x - 10)
factor x^2 - 3x - 10 => (x - 5)(x + 2)
Multiply both sides by (x - 5) (x + 2)
=> x(x - 5) + 7( x + 2) = 14
=> x^2 - 5x + 7x + 14 = 14
=> x^2 + 2x = 0
=> x(x + 2) = 0 => x = 0 and x = - 2 but the function is not defined for x = - 2 so it is not a solution => x = 0
Answer: x = 0
Answer:
She used 87 minutes last month
Step-by-step explanation:
Step 1: Express the total monthly phone bill
The total monthly phone bill can be expressed as follows;
A=F+(R×M)
where;
A=total monthly phone bill
F=fixed income per month
R=additional rate per minute
M=total number of minutes
In our case;
A=$123.75
F=$102 per month
R=$0.25 per minute
M=m
replacing;
123.75=102+(0.25 of m)
123.75=102+(0.25×m)
123.75=102+0.25 m
123.75-102=0.25 m
0.25 m=21.75
m=21.75/0.25
m=87 minutes
She used 87 minutes last month
