To find the biggest or close number say 70 is close to 75 or 70 the answer would be 70 I think but not sure
<span>C. 80 simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increase, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.</span>
Answer:
x<100
Step-by-step explanation:
The given equation is :
x-19<81
Adding 19 to both sides of the equation.
x-19+19<81+19
x<100
It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.
Answer: No, the friend is correct. In any function, each input value can only lead to one output value. When you input 3 for the x-values, you would get two output values because 3 is included in both equations. To fix this, you need to have the 3 not included in one of the equations.
For example, you could say
or
because the input value of 3 would not be included twice.
If you look at the attached screenshot, you will see that if you keep your friend's function, inputting 3 will result in two outputs of 4 and -3, so therefore,
cannot represent a piecewise function.
Answer:
f(x) = x² - 2x - 15
Step-by-step explanation:
∵ The function intersect x-axis at -3 and 5
∴ f(x) = 0 at x = -3 , 5
∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0
ax² - b/a x + c/a = 0
Where the sum of its roots is b/a and their multiplication is c/a
∵ a = 1
∵ -3 , 5 are the roots of the quadratic equation
∴ b = -3 + 5 = 2
∴ c = -3 × 5 = -15
∴ f(x) = x² - 2x - 15