The probability is 4/26 since MATH has 4 letters. It might be a trick question though because you're putting the card back in the hat, therefore it might be different. Sorry if this is too confusing I overthink it lol
Answer:
(80, 120)
Step-by-step explanation:
y - 40 + y = 200
2y = 240
y = 120
x = 120 - 40
x = 80
Hope it helped
Answer:
x = 90°
y = 90°
Step-by-step explanation:
The angle indicated with a box shape is a right angle = 90°
Thus:
x corresponds to 90°. Therefore,
x = 90°
✔️y = 180 - x (linear pair theorem)
y = 180 - 90 (substitution)
y = 90°
ANSWER TO QUESTION 1
.
EXPLANATION
The function given to us is,
According to rational roots theorem,
are possible rational zeros of
.
We find out that,
Also
This implies that
are factors of
and hence 
is also a factor.
We perform the long division as shown in the diagram.
Hence,
.
ANSWER TO QUESTION 2
Sketching the graph
We can see from the factorization that the roots
and 
have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.
Also the root 
has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.
Now we determine the position of the graph on the following intervals,
We can now use these information to sketch the function as shown in diagram
Answer:
x=115
Step-by-step explanation:
You substract .2 from 4.8 which is 4.6 then you divide 4.8 by .04 which is 115
