Answer:
(x + 3)(x + 5)
Step-by-step explanation:
The given expression is x^2 +8x + 15
Now find the factor of 15 such that when you add the factors, we have to get 8
The right factors of 15.
5 * 3 = 15
5 + 3 = 8
The right factors are 3 and 5.
x^2 + 8x + 15 = (x + 3)(x + 5)
Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)
Thank you.
Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)
Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
number of units for cost to be minimum=150
Step-by-step explanation:
y=2x^2-600 x+49000
dy/dx=4x-600
dy/dx=0 gives 4x-600=0
4x=600
x=150
d^2y/dx^2=4x
at x=150,d^2y/dx^2=4*150=600>0
so y is minimum at x=150
Sooooo, you would have to multiply 8 by 3 which is 24 then add 2 which is 26. Jasmine needs 26 ounces of chocolate chips. hope that helped ;D
Answer:
Step-by-step explanation:
We have been given that a jar is filled with 7 red marbles and 3 green marbles. We are asked to find the probability of pulling out 2 green marbles in a row if the marbles are not replaced after they're pulled out.
The probability of pulling 1st green marble will be number of green marbles divided by total marbles.
Since the marble is not replaced, so number of total green marbles will be 1 and total marbles will be 9.
Probability of getting green marble for another time will be .
To find probability of getting 2 green marbles in a row would be product of both probabilities as:
Therefore, our required probability would be .