Equation x y = -4y implies x=-4
Replacing the value of x in the following equation:
-4y = 2(-4)-1 implies y = 9/4 = 2.25
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
The left side was cut out but x will be on top and 5 in the lower square. The last one is the answer.
There are 8 numbers for the computer to choose from.
So the probability of choosing a particular number is 1/8.
The first number can be any one of the 8.
The second and the third must be the same as the first, with probability 1/8.
Therefore the probability that all three numbers are the same
= (1/8)(1/8) = 1/64 [ player will win a prize ]
(=0.03125)
Answer:
No solution exists!
Step-by-step explanation: