To find the correct polynomial, we can use the answers to help us out. The middle variable must be the sum of +2 and another number; the last number in the equation must be the product of +2 and the other number.
Knowing this information, we can use the process of elimination to find the exact polynomial that contains the factor (3x + 2).
A) This can't be it because to get -x as the middle variable, you would need to add -3 and +2. However, -3 x +2 doesn't equal -4.
B) This equation isn't the right one because to get +8 you need to add +6 + 2. However, the product of these two isn't -8.
C) Can't be correct because +2 and -7 = -5, but 2 x -7 = -14...not -9.
D) Is the correct answer because you can add 2 and -1 to get +1. (There is an understood +1 in front of the x in the equation.) The product of 2 and -1 equals -2, which happens to be the last number inside this equation. Therefore, this (D) is the correct answer choice.
Hope I could help you out! If my math is incorrect, or I didn't provide the answer you were looking for, please let me know. However, if the answer was correct and well explained, please consider marking it <em>Brainliest</em>.
Have a good one!
God bless.
Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
Answer:
The greater the sample size the better is the estimation. A large sample leads to a more accurate result.
Step-by-step explanation:
Consider the table representing the number of heads and tails for all the number of tosses:
Number of tosses n (HEADS) n (TAILS) Ratio
10 3 7 3 : 7
30 14 16 7 : 8
100 60 40 3 : 2
Compute probability of heads for the tosses as follows:
The probability of heads in case of 10 tosses of a coin is -0.20 away from 50/50.
The probability of heads in case of 30 tosses of a coin is -0.033 away from 50/50.
The probability of heads in case of 100 tosses of a coin is 0.10 away from 50/50.
As it can be seen from the above explanation, that as the sample size is increasing the distance between the expected and observed proportion is decreasing.
This happens because, the greater the sample size the better is the estimation. A large sample leads to a more accurate result.
Answer:
The correct option is;
False
Step-by-step explanation:
Here, we note that the proportion of the test statistic which is used in the test is 5% and the P-value for the test is 0.03
The hypothesis test is meant to check if people will still drive to work when the gas prices are above $10.00 and the suggestion was that we can conclude that when the fuel price is above $5.00 everyone would still drive to work without a P-value for the test, hence we can not come to the stated conclusion.
Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².
<h3>What is the Surface Area of the Composite Figure?</h3>
Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.
Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².
Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²
Area of the surface both share together = 2(16)(5) = 160 m²
Total surface area = 276 + 328 - 160 = 444 m².
Learn more about the surface area of triangular prism on:
brainly.com/question/16147227
#SPJ1
