(100 points) HELP ME NOW!!!! NOOOOW!!!!! OR ELSE UR GONNA BE SUPER DUPER SORRY >:)
1 answer:
Answer:
The answer is in the image! The interval notation is [-5,4)
Step-by-step explanation:
Notice that on the linee graph it shows a open circle on 4 and a closed dot on -5... This is because the number can be greater than -5 or equal to(this is represented by the brackets) and on 4 it can only be less than 4 and not equal to it (Represented by parenthesis)...
To solve for the inequality you must solve for x. The easiest way to do this is to multiply each component in the middlee by 3, the add two on both sides, then divide by 9 on both sides. This gives you the simplest inequality at -5<= x <4!
Hope this helps! If you cant open the image let me know!
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Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
