Answer:
x=5+√136or x=5−√136
Step-by-step explanation:
To solve this equation we have to factorize 3x2−5x+1. Since we can not use any
Answer:
<u>Part 1: C. $3,159.30</u>
<u>Part 2. C. –5; –135; –10,935</u>
Step-by-step explanation:
Part 1:
Price of the boat = $ 16,600
Depreciation rate = 14% = 0.14
Time of utilization of the boat = 11 years
Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat
Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹
Price of the boat after 11 years = 16,600 * 0.1903
<u>Price of the boat after 11 years = $ 3,159.30</u>
Part 2:
Let's find out the first term of the sequence given:
A(1) = -5 * 3¹⁻¹
A(1) = -5 * 1
A(1) = -5
Let's find out the fourth term of the sequence given:
A(4) = -5 * 3⁴⁻¹
A(4) = -5 * 3³
A(4) = -5 * 27
A(4) = -135
Let's find out the eighth term of the sequence given:
A(8) = -5 * 3⁸⁻¹
A(8) = -5 * 3⁷
A(8) = -5 * 2,187
A(8) = -10,935
Answer:
7
Step-by-step explanation:
1. Subtract the 4x on both sides = -14 = -2x
2. Divide -2 on both sides to get -14/-2 = x
3. -14/-2 = 7 so 7 = x
Answer: x < 8/9
Step-by-step explanation:
The equation is 4 * (2x +1) * 4.5 = 50, since the volume is found by multiplying the length, width, and height together, and the =50 part is because our volume can't go above 50 cubic units.
We can simplify 4 * (2x+1) * 4.5 by multiplying 4 and 4.5, which is 18, and then multiplying both 2x and 1 by 18. We get 36x + 18, and we put in the =50, so it is 36x+18=50.
Next, we can subtract 18 from both sides of the equation, giving us 36x = 32.
We then divide the equation by 36 so that we have the x by itself, and we get x = 32/36, which can be simplified to 8/9.
What we're left with is x = 8/9, meaning plugging in 8/9 for the equation would give us 50. However the problem says that the volume must be below 50, so our actual answer is x < 8/9.
Answer: 4
Step-by-step explanation:
so you basically make the + sign into a - sign as when there is a + and - sign next to each other it will always change into a - sign so once you do that it will look like this
11+(-7)
11-7
4