For which product or quotient is this expression the simplest form? (image attached)! please help :((
Answers
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Answer:
Step-by-step explanation:
I got 100% on the test
Related Questions
What is the equation of the line that passes through the point (-8,5) and has a slopeof o?
Q 3.28: To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. Indicate what percent of values must be chopped off from each tail for a 97% confidence level. A : We keep the middle 97% of values by chopping off 1.5% from each tail. B : We keep the middle 1.5% of values by chopping off 97% from each tail. C : We keep the middle 3% of values by chopping off 97% from each tail. D : We keep the middle 3% of values by chopping off 1.5% from each tail. E : We keep the middle 97% of values by chopping off 3% from each tail.
Which best describes vibration?the distance traveled per unit in timethe action of moving back and forth quickly and steadilythe distance between one compression and the compression next to itthe action of moving through a material or substance
The hypotenuse of a right triangle is 10 meters and its legs measure x and x + 2. How long are the legs?
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.
Answers
He pays 370.28125.
What is Simple Interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given:
Jamie borrowed = $361.75
Simple interest = 2.5%
As, Simple interest is not compounded.
so,
361.75 x 1.025
=370.28125
Hence, he pays 370.28125.
Learn more about simple interest here:
#SPJ2
Answer:
Jamie will pay back a total of 370.79
Step-by-step explanation:
361.75 x 1.025
Simple interest is not compounded so just multiply the borrowed amount by
1 + .025
Answers
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
To learn more about probability here:
#SPJ2
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answers
Answer:
[ 26 / 425 ] ≈ 0.0612
Step-by-step explanation:
Solution:-
- First we will describe the standard deck of 52 cards in terms of black, red and face cards found in a standard deck
- Following is a table of distribution of colored and face card found in a standard deck:
Type Number of cards
1 - 10 40
Black 26
Red 26
Face 12
- The numerical cards from digit ( 1 to 10 ) are found in all 4 suits ( Clubs, Diamonds, Spades, and Hearts ). Hence, 10 x 4 = 40
- The entire deck is split in two colors ( Red and Black ) equally. So, the number of Black and Red cards are = 52 / 2 = 26 cards.
- The face cards are of three types ( King, Queen and Jack ). These three face cards are found in each of the 4 suits. Hence, Total number of face cards are = 4 * 3 = 12
- We will now consider the probabilities asscociated with each type. We will define 3 events and write down their proability as expressed:
Event ( A ): First draw is a red card.
- The probability of this event can be determined with the help of the table given above. There are a total of 26 red card in a standard deck of 52 cards. Hence,
p ( A ) = [ Number of red cards ] / [ Total cards in a deck ]
p ( A ) = [ 26 ] / [ 52 ]
p ( A ) = 1 / 2
- After we make the first draw of a red card. Our deck distribution is changed to Number of Red cards remaining = 25 and total deck now has 51 cards remaining.
- We will define the next event as:
Event ( B ): The second draw is a face card.
- The probability of this event can be determined with the help of the table given above. There are a total of 12 face cards in a standard deck of 52 cards which is now down to 51 cards. Hence,
p ( B ) = [ Number of face cards ] / [ Total cards in a deck ]
p ( B ) = [ 12 ] / [ 51 ]
p ( B ) = 4 / 17
- After we make the first draw of a face card. Our deck distribution is changed to Number of Face cards remaining = 11 and total deck now has 50 cards remaining.
- We will define the next event as:
Event ( C ): The third draw is a black card.
- The probability of this event can be determined with the help of the table given above. There are a total of 26 black cards in the deck. The total number of cards are down to 50 cards only. Therefore,
p ( C ) = [ Number of black cards ] / [ Total cards in a deck ]
p ( C ) = [ 26 ] / [ 50 ]
p ( C ) = 13 / 25
- The entire drawing process consists of 3 events which are dependent on each draw. However, for the overall event to occur i.e drawing a red card , then a face card, and then a black card. We will multiply all three outcomes as follows:
p ( T ) = p ( A ) * p ( B ) * p ( C )
p ( T ) = [ 1 / 2 ] * [ 4 / 17 ] * [ 13 / 25 ]
p ( T ) = [ 26 / 425 ] ≈ 0.0612
Final answer:
The overall probability of first drawing a red card, then a face card, and then a black card from a standard deck of cards is 0.0124.
Explanation:
This question is related to the concept of probability in Mathematics. A standard deck of cards consists of 52 cards - 26 red (diamonds and hearts) and 26 black (clubs and spades). There are 12 face cards (King, Queen, and Jack of each suit).
For the first draw, the probability of picking a red card is 26/52, which simplifies to 1/2.
After picking a red card, we are left with 51 cards. So, for the second draw, the probability of picking a face card is 12/51.
Then, having picked a red and face card, we are left with 50 cards. For the third draw, the probability of picking a black card is 26/50 which simplifies to 13/25.
We multiply these probabilities together to get the overall probability, therefore (1/2) * (12/51) * (13/25) = 0.012418. Rounding this to four decimal places, we get 0.0124.
Learn more about Probability here:
#SPJ3
Answers
Answer:
2. ASA can be used with the definition of an isosceles triangle
3. x = 5 5/6
Step-by-step explanation:
2.
Using the given information, the definition of an isosceles triangle tells us, ...
∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN
By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.
__
3.
If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:
AB/AD = CB/CE
x/7 = (10-x)/5
5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify
12x = 70 . . . . . . . . . . . add 7x
x = 70/12 = 35/6
x = 5 5/6
Answers
Answer:
The exponent is positive, and the exponent is 12
Step-by-step explanation:
Answers
Answer:
a=55
b=5
T=17
Step-by-step explanation:
The general form of the equation is:
For t = 0:
Since there has been a fivefold increase after 17 years, at t = 17, N(17) = 55*5
If at every 17*n years there in an increase of 5^n, one can deduct that the values for T and b are respectively 17 and 5:
Therefore, the function that represents N(t) is: