Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = (x + 6)(x - 3)
For x-intercept,
Substitute the value f(x) = 0.
(x + 6)(x - 3 = 0
x = 3, -6
So the x-intercepts will be,
(-6, 0) and (3, 0)
For y-intercept,
Substitute the value for x = 0,
f(0) = (0 + 6)(0 - 3)
= -18
Therefore, y-intercept of the given quadratic function will be (0, -18).
Answer:
1
Step-by-step explanation:
hope this helps
Answer:
If x is an integer, then for values of x ≤ 0 would -x be positive.
General Formulas and Concepts:
<u>Math</u>
Step-by-step explanation:
We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.
If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.
∴ x can only be negative integers, thus giving us x ≤ 0.
Answer:
A) 277 million years
Step-by-step explanation:
Here, decay of U-238 is first order reaction. (since most of the nuclear decays are first order).
so, the equation t = 
× ln(
)
where, t = time from start of reaction
k = reaction constant
A(0) = initial concentration; A = present concentration.
⇒ 4.5 billion = 4500 million years = × ln2.
Now, given 95.82% of parent U-238 isotope is left.
⇒ t = × ln()
t = 
× ln(
)
⇒ t ≅ 277 million years.
