Answer:
w=0
Step-by-step explanation:
We know a point (3,1) and the slope (-8/3), so we can use point-slope form, which is y-y1=m(x-x1)
For reference, y1 is the y in the point, m is the slope, and x1 is the x in the point
So we subsitute it
y-1=-8/3(x-3)
do distributive prop.
y-1=-8/3x+8
add 1 to both sides
y=-8/3x+9
This is the equation of the line.
Now to find w, which is the x value.
The point will pass through line, so we can susbtitute the point into the equation.
9=-8/3x+9
subtract 9 from both sides
0=-8/3x
multiply by -3/8 on both sides (the reciprocal of -8/3), we need to isolate x
0=x
x=w
therefore, w=0
Hope this helps!
Answer:
∫ₑ°° 1 / (x (ln x)¹⁰) dx
∫₁°° x⁻³ dx
Step-by-step explanation:
A p-series 1 / xᵖ converges if p > 1.
∫ₑ°° 1 / (x (ln x)¹⁰) dx
If u = ln x, then du = 1/x dx.
When x = e, u = 1. When x = ∞, u = ∞.
= ∫₁°° 1 / (u¹⁰) du
p = 10, converges
∫₁₀°° x^(-⅔) dx
= ∫₁₀°° 1 / (x^⅔) dx
p = ⅔, diverges
∫₁°° 2 / x^0.5 dx
= 2 ∫₁°° 1 / x^0.5 dx
p = 0.5, diverges
∫₁°° x⁻³ dx
= ∫₁°° 1 / x³ dx
p = 3, converges
∫₂°° 1/(3x) dx
= ⅓ ∫₂°° 1/x dx
p = 1, diverges
Answer:
Step-by-step explanation:
55 - 20% = 44
5.5% of 44 = 2.42
2.42 + 44 = 46.42
hope this helps. :]
Answer: D.) 
Step-by-step explanation: We are given an exponential function f(x).
g(x) is an exponential function that is being reflected across y-axis.
According to rules of transformations y=f(-x).
That is variable x is being multiplied by a negative sign.
In the given options , the variable x is being multiplied by a negative sign.
Therefore, correct option is D option.
Answer: a and b
Step-by-step explanation:
