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Anastaziya [24]
3 years ago
5

Solve the inequality. |2x - 6| + 7 <15

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

Inequality Form: -1 < x < 7

Interval Notation: (-1, 7)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Please help, explain in words the steps needed to solve this problem
melomori [17]

Answer:

x=6

Step-by-step explanation:

By the Product Rule of Logarithms, the logarithm of the product of numbers is the sum of the logarithms of the numbers.

log(x)  +  log(x  - 1)  =  log(x(x  - 1))  =  log( {x}^{2}  -  x )  =  log(3x + 12)

Raise both sides to the power of 10 to eliminate the logs, obtaining:

{x}^{2}  - x = 3x + 12

{x}^{2}  - 4x - 12 = 0

(x - 6)(x  + 2) = 0

x = -2 or x = 6. Since x = -2 is extraneous, it follows that x = 6.

4 0
2 years ago
How do you solve 8x+5=3x+15
sladkih [1.3K]
8x + 5 = 3x + 15

8x - 3x = 15 - 5   (put same kinds of number on one side and change the signs)

5x = 10 (simplify)

5x/5 = 10/5 (simplify)

x = 2 (answer)

hope this helps

8 0
4 years ago
‼️help please ASAP ‼️
4vir4ik [10]
By the Law of Sine,
\frac{ \sin(77) }{89}  =   \frac{ \sin(46) }{x}
Solve for x and get x = 65.7.
7 0
4 years ago
Find the principal needed now to get to $25,500 after 10 years at 6% compounded continuously
Inessa05 [86]

Answer: $14239.07

Explanation:

A=P(1+I)^n

25500=P(1+0.06)^10

25500=P(1.06)^10

25500÷(1.06)^10=P

P=$14239.07

6 0
4 years ago
What is the area of this figure?? PLEASE HELP
diamong [38]

Answer:

1410ft²

Step-by-step explanation:

20 * 12 * 2 + [62 * (15 + 12)] =

480 + (62 * 15) =

480 + 930 =

1410ft²

8 0
2 years ago
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