<span>The function f is defined by f(x)=x^2+3x-10 If f(x+5)=x^2+kx+30, k= Find the smallest zero of f(x+5), x=
By definition, the zero of a polynomial function is a number a such that f(a)=0. For quadratic equation, the zeros can be found on equalizing f to 0. First, f(x+5)=(x+5)²+3(x+5)-10=x²+10x+25+3x+15-10=x²+13x+30, and it is told that If f(x+5)=x^2+kx+30 = x²+13x+30, it implies k=13, so let’s find the zeros. x²+13x+30=0 is to solve: D= 13²-4x1x30=169-120=49, sqrt49=7, so x=-13-7 / 2=-20/2 = -10, and x= -13+7/ 2 = -6 /2= -3. Obviously, we know that -10< -3, so the smallest zero is -10.
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Answer:
1. b 14
2. a 21
3. c 24
4. d 6
Step-by-step explanation:
Divide the coefficient by the denominator of the fraction, then multiply by the numerator to find the simplified coefficient.
Answer:
C
Step-by-step explanation:
(c) x + 2y = 7
This equation os linear one but has two variables ( x and y)
Answer:
A) 18/3 or 6 bracelets
Step-by-step explanation:
If it take 3/2 hours to make 1 bracelet, then it will take 9 hours to make 9/(3/2) bracelets. This means that the number of bracelets Jasmine can make in 9 hours following this proportional relationship is 18/3 or 6 bracelets.
It the multiplication property because you are multiplying 2x=20 so then you divide on both sides with 2 and that gives you 10