I read this as -5e⁻⁴ˣ⁺²+3=½log₁₀(x²+1).
If this is not right the steps below can guide you to a possible solution when the correct formula is used.
My calculator is a Casio fx-85GT PLUS which has a function facility (MODE 3: TABLE).
I input the function: -5e⁻⁴ˣ⁺²+3-½log₁₀(x²+1). I assumed that log was log to base 10 rather than natural log ln.
The facility asks me to input a start value, end value and step value. I chose -10, 10 and 1 initially.
After a few seconds of evaluating a table of results the calculator showed me the results of plugging in x=-10 up to 10 in steps of 1.
The results showed the evaluation for each of the 21 values and I looked for the sign of the result to change.
For x=0 the result was -33.95 approx and for x=1 it was 2.1728 approx. So between 0 and 1 there is a zero, a solution for x.
I returned to the function and changed the parameters to start=0, end=1, step=0.1 to begin the next evaluation.
This time the sign change occurred between x=0.6 and 0.7.
I returned to the function with parameters: start=0.6, end=0.7, step=0.01.
The sign change occurred between 0.63 and 0.64, the start and end parameters with step=0.001 for the next iteration.
The solution is between 0.633 and 0.634.
Repeat the process one more time with step=0.0001. The sign change was between 0.6338 and 0.6339 so the solution to three dec places is 0.634.
-3d/(d^2-2d-8) + 3/(d-4) = -2/(d+2)
factor
-3d/(d-4) (d+2) +3/(d-4) = -2/(d+2)
multiply by (d-4)(d+2) on each side
(d-4)(d+2)[-3d/(d-4) (d+2) +3/(d-4)] = (-2/(d+2))*(d-4)(d+2)
distribute
-3d +3(d+2) = -2(d-4)
distribute
-3d +3d+6 = -2d+8
combine like terms
6 = -2d+8
subtract 8 to each side
-2 = -2d
divide by -2
1 =d
Answer:
The correct choice is option B. y+1/y-1
Step-by-step explanation:
Step-by-step explanation:
3(x+2) + 35 + 52 = 180 ( Angle sum property)
3x+ 6 + 87 = 180
3x + 93 = 180
3x = 180 - 93 = 87
x= 87/ 3
x = 29
∠C = 3 ( 29 + 2)
= 3 x 31
= 93
<span>1- What is the distance formula?
distance = </span>√(x2-x1)² + (y2-y1)²<span>
2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
<span>
3- simplify the expression, what is the distance between the two points?
distance = </span>√170 = 13.04