Answer:
<em>f(x)=x²-3x-10</em>
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
Answer: 2/3 hours
Step-by-step explanation:
okay so the speed now is 850, which is 850/340 = 2.5 times the original speed
Since It's 2.5 times the original speed,
2.5x = 5/3
so x = 5/3/2.5 = 2/3
Answers:
- prime number = {2,3,5}
- composite number = {4,6}
- number less than four = {1,2,3}
- number more than or equal to three = {3,4,5,6}
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Explanation:
The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.
A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.
Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.
Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).
