Answer:
g(x) =
+ 4x + 3; x = -3, -1; g(x) = 3
Step-by-step explanation:
a) The standard form of a quadratic function is:
f(x) = a
+ bx + c
Now, replace the variables with the values given.
g(x) =
+ 4x + 3
b) To find the zeros of the function (x-intercepts), set y to 0 and solve for x:
g(x) =
+ 4x + 3
0 =
+ 4x + 3
(x + 3)(x + 1) = 0
(x + 3) = 0
x = -3
(x + 1) = 0
x = -1
c) To find the y-intercept of the function, set the x values to 0:
g(x) =
+ 4x + 3
g(x) = 3
Step-by-step explanation:
There is a rule that if c^2 > a^2 + b^2, then it is an obtuse triangle.
*c is the longest side
I attached more information on it below.
Answer:
Going from left to right:
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
Step-by-step explanation:
Functions cannot have any repeating x-coordinates.
Answer:
{A and B are independent events}, P(A|B)=P(A)=0.16
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, P(A|B)=P(A) that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is P(A|B)=P(A)=0.16.. Rest are not in accordance with the definition of independent events.