4p^2 + 4p - 5
As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.
<em><u>List factors of -20.</u></em>
-5 * 4
5 * -4
-10 * 2
10 * -2
-20 * 1
20 * -1
<u>None of the factors added together result in positive 4.</u>
Because splitting the middle term is not possible, and we cannot simplify this expression any further:
This expression cannot be fully factored.
Answer:
10999
Step-by-step explanation:
9560 + 1439 = 10999
Thenks and mark me brainliest :)
Answer:
The number of ways of selecting a combination of 8 marbles from a bag containing 20 marbles is 125970
Step-by-step explanation:
The number of selecting 8 marbles from a bag of 20 marbles
A combination gives the number of possible order or arrangement in a collection of k items selected from a set of n items
![C_{n,k} = \dbinom{n}{k}= \dfrac{n!}{k!\cdot \left ( n - k \right )!}](https://tex.z-dn.net/?f=C_%7Bn%2Ck%7D%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%3D%20%5Cdfrac%7Bn%21%7D%7Bk%21%5Ccdot%20%5Cleft%20%28%20n%20-%20k%20%5Cright%20%29%21%7D)
In the question, k = 8, and n = 20
Substituting the values of n and k in the above equation gives;
![C_{20,8} = \dbinom{20}{8}= \dfrac{20!}{8!\times\left ( 20 - 8 \right )!} = 125,970](https://tex.z-dn.net/?f=C_%7B20%2C8%7D%20%3D%20%5Cdbinom%7B20%7D%7B8%7D%3D%20%5Cdfrac%7B20%21%7D%7B8%21%5Ctimes%5Cleft%20%28%2020%20-%208%20%5Cright%20%29%21%7D%20%3D%20125%2C970)
Therefore, the number of ways of selecting 8 marbles from a bag containing 20 marbles is given by the combination C₂₀, ₈ = 125970.
Answer:8pennies,16dimes,13nickels,13quarters
Step-by-step explanation:
total number of coin=50
16% are pennies
16% of 50
16/100 x 50=(16x50)/100=800/100=8
Pennies=8
32% are dimes
32% of 50
32/100 x 50=(32x50)/100=1600/100=16
Dimes = 16
5 more nickels than pennies
Pennies=8
nickels=8+5=13
nickels=13
8+16+13=37
50-37=13
13 quarters
pennies=8,dimes=16,nickels=13,quarters=13
Three times q divided by two
Hope this helps