Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12
Answer:
4
Step-by-step explanation:
Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5
1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5
2. Δ=(−2)2−4⋅(0)⋅(5)=4=4
3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4
Answer:
44
Step-by-step explanation:
6(8)-4 = 48-4= 44
M = (f(5) -f(-2))/(5 -(-2)) = (-10 -1)/7
m = -11/7
The slope of the line is -11/7.
Answer:
112, 119 and 126.
Step-by-step explanation:
Let the consecutive multiples of 7 be 7n, 7(n+1) and 7(n+2) where n is an integer, then:-
7n + 7n + 7 + 7n + 14 = 357
21n + 21 = 357
21(n + 1) = 357
n = (357/21) - 1
n = 17 + 1 = 16.
So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.
