5 boys play both hockey and volleyball (30-20-15=5)
The statements that are true are:
<span>a. The range for this function is the set {3}. [range is the value of y, here the value of y is 3 for all value of x]
</span>
<span>c. The domain for this function is all real numbers. [the domain is the value of x, as you can see, the graph span all the x axis]</span>
Answer:
k = 13 The smallest zero or root is x = -10
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Work Shown:
note: 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.
Hope this was Right
