Answer:
<em>6m+30 </em>
Step-by-step explanation:
<u>Add 9 and 21</u>
<u>Hope this Helped!</u>
Answer:
y = 3x + 7.
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
The solution should be x=-1 y=-2
<u>We are given the equation:</u>
log₂(x-3) + log₂x - log₂(x+2) = 2
<u>When is it defined:</u>
in this equation, log₂(x-3) and log₂(x+2) can only be defined when
x-3 >0 and x+2 > 0
solving for the values of x, we get:
x > 3 and x > -2
which basically means x > 3
<em>Because we are looking for an inequality which is true for both x>-2 and x>3</em>
Hence, x will have a value greater than 3
<u>Solving for x:</u>
using the product rule <em>[logₐb + logₐc = logₐ(bc)]</em>
log₂[(x-3)(x)] - log₂(x+2) = 2
using the quotient rule <em>[logₐb - logₐc = logₐ(b/c)]</em>
log₂[(x-3)(x) / (x+2)] = 2
from the property <em>[ aˣ = b ⇒ logₐb = x]</em>
(x² - 3x) / (x+2) = 2²
x² - 3x = 4x + 8
x² - 7x - 8 = 0
x² + x - 8x - 8 = 0
x(x+1) - 8(x+1) = 0
(x-8)(x+1) = 0
(x-8) = 0 OR (x+1) = 0
x = 8 OR x = -1
We know that the equation is defined only for x > 3
We can see that x = 8 satisfies that inequality
Therefore, x = 8
Answer:
The number expected to pass that test is 
Step-by-step explanation:
From the question we are told that
The probability of success is p = 0.91
The sample size is n = 15
The number of employee that will pass the test is mathematically represented as
substituting values
