Answer: the length and width are
(x + 8) and (x + 8)
Step-by-step explanation:
The rug has an area represented by the expression
Area = 4x² + 64x + 256.
The factors in the factored expressions represent the length and width of the rug.
Dividing the the equation by 4, it becomes
x² + 16x + 64 = 0
We would find two numbers such that their sum or difference is 16x and their product is 64x^2.
The two numbers are 8x and 8x. Therefore,
x² + 8x + 8x + 64 = 0
x(x + 8) + 8(x + 8) = 0
The factors are
(x + 8)(x + 8)
165,827 and 165,229
the hundreds spot in the first number is 8 while in the second number the hundreds spot is only two
Answer:
I didn't even realize until I had written all of the answers down that they are all <u><em>C.</em></u>
37 = C. <u>15%</u>
38 = C. <u>2
</u>
39 = C. <u>48</u>
Step-by-step explanation:
37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.
38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or <u>2
.</u>
39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.
<span>Outcome Heads Tails
Relative Frequency 0.69 0.31
so first statement is false as 69% is close to 70%.
second statement is false as heads probability is close to 70%
last 2 statements are true:
</span><span>The theoretical probability of tails is most likely 30%.
It is likely that the coin is not fair.
</span>