Answer:
-0.53, 2.53 to the nearest hundredth.
Step-by-step explanation:
3x^2 - 6x - 4 = 0
3(x^2 - 2) - 4 = 0
3 [ ( x - 1)^2 - 1] = 4
3(x - 1)^2 - 3 = 4
3(x - 1)^2 = 7
(x - 1)^1 = 7/3
x - 1 = +/- √(7/3)
x = +/- √(7/3) + 1
x = 2.53, -0.53.
Which of the following is a geometric sequence? 3, 6, 12, 24, … 4, 8, 12, 16, … 2, 4, 16, 256, …
Svetlanka [38]
Answer:
The geometric sequence would be 3, 6, 12, 24 . . .
Step-by-step explanation:
A <u>geometric sequence</u> is when the you find the next term in the sequence by multiplying by a <em>common ratio</em>. (A common ratio is the constant value that you <em>multiply</em> by each time in a geometric sequence.) In order to solve your problem, you would find the relationship between each term in the sequence. For the first sequence, 3, 6, 12, 24, etc., you can see that the ratio between one term and the next would be two: 3×2 = 6, 6×2 = 12, 12×2 = 24, and so on. This makes it a geometric sequence, but you still need to check the other sequences to make sure. For the sequence 4, 8, 12, 16, . . . , you need to add four each time. This means that the sequence has a <em>common difference</em>, or the constant value you <em>add or subtract</em> by in an <u>arithmetic sequence</u>. So, we know that the second sequence is not the answer. Finally, we check the last sequence, and if you look at it you can see that the you square the previous term to get the current one. This is different from a geometric sequence, and has a different name. However, it is not a geometric sequence because you are not multiplying by the <em>same</em> value each time (it doesn't have a common ratio). So, the first sequence, 3, 6, 12, 24, . . . , is a geometric sequence.
Answer:
For any depth y, y, the width will be given by 2 x, 2 x, so we need to solve the equation above for x x ... 2 − 3 Add 3 to both sides. x + 3 = (y − 2) 2 ... .4 n 100 + n represents the concentration C C of an acid solution after n n mL of 40% solution has been added to 100 mL of a 20% solution. First, find the ..
Step-by-step explanation:
The maximum is the highest point (4,6)
Answer:
x= 16.53
Step-by-step explanation:
Since this is a right triangle we can use the law of cosine (adjacent/hypotenuse) to solve. You get the equation cos(49)=x/55. You then wanna multiply 55 to both sides so you can isolate x. You get 55*cos(49)=x. Then, you put 55*cos(49) into a calculator and multiply to get 16.5325899059.... Then round to the nearest hundredth to get 16.53 as your answer.
Hope this helps :) (its been a while since I've done trig ratios so thanks for the refresher)