Answer:
Tn=a+(n-1)d
a=a1
Tn=a1+(n+1)d
I would appreciate if my answer is chosen as a brainliest answer
The perpendicular line will have an equation of y=3/4x-3/4
To find this, we first have to solve our equation for slope intercept form.
8x + 6y = -5 ----> subtract 8x
6y = -8x + -5 ----> divide by 6
y = -4/3x - 5/6.
So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.
Answer:
<u>m</u><u> </u><u>is</u><u> </u><u>√</u><u>2</u>
Step-by-step explanation:

Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515