Answer: 2, 1.5 , -0.75
(b) 
Step-by-step explanation:
Given
line is 
Converting it into intercept form
So, the x-intercept is 
and y-intercept is 
The slope is given by
(b) the line perpendicular to the above line and passing through 
The slope of the required line
Equation of the line is given by
As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
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Answer: 81.2
Step-by-step explanation:
h(t) = -5t² + 40t + 1.2
h(4) = -5(4)² + 40(4) + 1.2 We plug 4 seconds as t, and solve h(4)
h(4) = -80 + 160 + 1.2
h(4) = 80 + 1.2
h(4) = 81.2
Answer:
26,000,000 codes
Step-by-step explanation:
To find how many unique codes can be created, we just need to check how many possibilities there are for each letter or digit in the code.
Each letter has 26 possible values, and each digit has 10 possible values, so as we have 1 letter and 6 digits, the total number of unique codes are:
26 * 10 * 10 * 10 * 10 * 10 * 10 = 26,000,000 codes.
9 and 1/2 is the answer. We can find this by simply subtract 1 1/2 from 12.
