Answer: 5(3x+5)
Step-by-step explanation:
To factor this expression we need to pull out the greatest common factor of the 2 numbers, 15 and 25. This factor is 5.
Now divide both numbers by 5 and put a 5 on the outside of the new expression to look like:
and this is as far as it can be factored.
Answer:

Step-by-step explanation:
The probability density function is :

With 0 < x < 3
To be a valid probability density function :

Where a < x < b
And also
f(x) ≥ 0 for a < x < b
Applying this to the probability density function of the exercise :





We can verify by replacing ''c'' in the original probability density function and integrating :


Also, f(x) ≥ 0 for 0 < x < 3
Answer:
6 2/3 mL
Step-by-step explanation:
Multiply thru by 100 to get:
1000 + 60x = 30*40 + 30x
30x = 200
x = 6 2/3 mL (amt. of 60% solution needed in the mixture)
The picture in the attached figure
step 1we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a
triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer isx+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]