Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
I have the same question! have you figured it out ??
Answer:
Probability is the likelihood or chance of an event occurring. Probability = the number of ways of achieving success. the total number of possible outcomes.
Step-by-step explanation:
Think of it as a chance or the percent of an event happening. Such as it raining on a sunny day would be 15%-0% probability.
Answer:
60cm²
Step-by-step explanation:
as the green and blue box are squares they will have the same sides, length.
so all the sides in the green and blue squares are 3
the pink and orange rectangles : the longer is 7 the shorter one is 3
for the top length of the whole shape is = 7 +3 = 10
side length of the shape is 3 + 3= 6
so then you do 6 x 10 = 60
60 cm² is the answer :)
