Answer:
$12,000,000
Step-by-step explanation:
To find her commission, create a proportion.

To solve use cross multiplication.
40(x) = 100(480000)
40x = 48000000
x= 12,000,000
The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
<h3>Vertex Form of a quadratic expression</h3>
Given the quadratic expressions
1.5x^2+6x+......
1.5(x^2 + 4x)
Using the completing the square method
The coefficient of x = 4
Half of the coefficient = 4/2 = 2
The square of the result = 2^2 = 4
The equation is expressed as:
f(x) = 1.5(x^2+4x+ 4) - 4
f(x) = 1.5(x+2)^2 - 4
Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
Learn more on completing the square method here: brainly.com/question/1596209
Answer:
The probability is 1/8 or 0.125
Step-by-step explanation:
In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.
In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2
Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)
When we have and in a probability question, that means we are to multiply the probabilities together.
Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8
Answer:
Normally, sequences don't go behind 1, but let's see for this one.
f(-1) = 1
Step-by-step explanation:
Let's sub for -1 in x.
f(-1) = 2(-1) + 3.
f(-1) = -2 + 3
f(-1) = 1
:)
(3³ x 5³)² - 2
( 27 x 125)² - 2
125 x 27 = 3375
3375² = 11,390,625
11,390,625 - 2 = 11,390,623