Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?
1 answer:
9514 1404 393
Answer:
x ≈ -4.9
Step-by-step explanation:
There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.
x ≈ -4.9
_____
Using iterative techniques, the calculator can give an answer to the full precision available. It is ...
x ≈ −4.91733286844
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Answer:
The table in the exercise can be completed with the next results:
- x y
- 2 <u>9</u>
- 4 <u>11</u>
- 6 <u>13</u>
- 8 <u>15</u>
Step-by-step explanation:
As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:
- y = x + 7
Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:
When x is 2:
- y = 2 + 7
- <u>y = 9</u>
When x is 4:
- y = 4 + 7
- <u>y = 11</u>
When x is 6:
- y = 6 + 7
- <u>y = 13</u>
When x is 8:
- y = 8 + 7
- <u>y = 15</u>
At last, <u>to obtain the graph you can use the formula made: y = x + 7</u>, and you'll obtain a graph like the attached picture, <em>where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7</em>.
Answer
Midpoint = (3, 5.5)
Step by step explanation
Here we have to use the midpoint formula.
Midpoint = ( )
Here the point A = (-1, 8) and B = (7, 3)
x1 = -1, y1 = 8, x2 = 7 and y2 = 3
Now plug in these values into the formula.
Midpoint = (
= (6/2, 11/2)
= (3, 5.5)
Therefore, the midpoint the line segment AB is (3, 5.5)
Thank you.