Answer:
Undefined
Step-by-step explanation:
m = Δy / Δx
m = (12 − -8) / (-6 − -6)
m = 20 / 0
m = undefined
The slope is undefined.
Answer:
0.70275
Step-by-step explanation:
Data provided in the question:
4e²ˣ⁻¹ -1 = 5
now solving for 'x'
⇒ 4e²ˣ⁻¹ = 5 + 1
or
⇒ 4e²ˣ⁻¹ = 6
or
⇒ 
or
⇒ 
now,
taking natural log both sides, we get
⇒ 2x - 1 = 
also,
we know
⇒ 
thus,
⇒ 2x - 1 = ln(3) - ln(2)
or
⇒ 2x - 1 = 1.0986 - 0.6931
or
⇒ 2x - 1 = 0.4055
or
⇒ 2x = 0.4055 + 1
or
⇒ 2x = 1.4055
or
⇒ x = 0.70275
Answer:
h(f(x)) = 2x - 11
Step-by-step explanation:
To evaluate h(f(x)) substitute x = f(x) into h(x)
h(x - 7)
= 2(x - 7) + 3
= 2x - 14 + 3
= 2x - 11
Answer:
<em>The concentration of the new mixture is 46%</em>
Step-by-step explanation:
The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:
5*2/100=0.1 fl. oz.
The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:
11*66/100=7.26 fl. oz.
The total alcohol in the mixture is
0.1 + 6.6 = 7.36 fl. oz.
The total amount of the mixture is:
5 + 11 = 16 fl.oz.
The concentration of the new mixture is:
7.36 / 16 * 100 = 46%
The concentration of the new mixture is 46%
