By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
Given data:
The first angel given is ∠1=54 degrees.
T
Answer:
O.26
Step-by-step explanation:
Divide The cost from the pieces
Answer:
h=-4
Step-by-step explanation:
Use the Distributive law:
1. -3(h+5) gives us -3h-15 then you add your two(2).
the whole of your left side of the equation will give you -3h-13
2. 4(h+6) gives us 4h+24 then you subtract nine(9).
the whole of the right side of the equation will give you 4h+15
3. equate the two like this:
-3h-13=4h+15
4. group like terms of each side:
-13-15=4h+3h
5. Add and Subt<u>r</u>act
-28=7h
6. Decide both sides by 7 to make h the subject of the formula
7. Congratulations you got your answer as h=-4
The value of h(t) when
is 10.02.
Solution:
Given function 
To find the value of h(t) when
:

Substitute
in the given function.


Now multiply the common terms into inside the bracket.

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

To make the denominator same, take LCM of the denominators.
LCM of 64 and 32 = 64




= 10.02

Hence the value of h(t) when
is 10.02.