Answer:
Step-by-step explanation:
Given the function
y = —⅔x + 7
The domain of the function is
The input,
x = { -12, -6, 3, 15}
When x = -12 what is y
y = —⅔x + 7
y = — ⅔ × — 12 + 7
Note that, - × - = +
y = 8 + 7
y = 15
Then, when x = -12, y = 15
When x = -6
y = —⅔x + 7
y = — ⅔ × — 6 + 7
Note that, - × - = +
y = 4 + 7
y = 11
Then, when x = -6, y = 11
Also, x = 3
y = —⅔x + 7
y = — ⅔ × 3 + 7
Note that, -×+ = -
y = —2 + 7
y = 5
Then, when x = 3, y = 5
Also, x = 15
y = —⅔x + 7
y = — ⅔ × 15 + 7
Note that, - × + = -
y = — 10 + 7
y = —3
Then, when x = 15 , y = —3
Check attachment
This is one to one mapping
x= -6 y= 11
x= 3 y= 5
x= 15 y= -3
x= -12 y=15
The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
<h3>How to determine the equation of the line?</h3>
The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
Read more about linear equations at:
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#SPJ1
43. 9 + 10 + 13 + 13 = $45
45 - 1 = 44
44 x 4 = 176
176 + 8 = 184
184/4 = 46
46 tokens per person
44. a. 22 x 5 = 110
943/110 = 8.7
you will need 9 bookcases
b. 110 x 9 = 990
990 - 943 = 47
47 - 44 = 3
There will be 3 books on the third shelf.
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
<h3>Compound Interest </h3>
Given Data
(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
Learn more about compound interest here:
brainly.com/question/24924853
Is it trigonometry because it has 13 letters
