1. 15(10 - 2)....distribute....150 - 30 = 120
2. (24 + 18) + (12 + 6).....commutative....(24 + 6) + (12 + 18) = 30 + 30 = 60
3. 5 * 13 * 2.....commutative.....5 * 2 * 13 = 10 * 13 = 130
4. 94 + 17 + 53 + 6....commutative...94 + 6 + 17 + 53 = 100 + 70 = 170
5. 25(14) ...distribute..25 * 10 + 25 * 4 = 250 + 100 = 350
6. 25 * (4 * 17)...associative....(25 * 4) * 17 = 100 * 17 = 1700
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Answer:
a =6 b=6
Step-by-step explanation:
i hope this helped u
Answer:
x=3
Step-by-step explanation:
6x-3
(6*3)-3
18-3
15
3x+6
(3*3)+6
9+6
15
5x
5*3
15
