Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
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Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
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Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
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Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
Answer:
x = 2 y = 3
Step-by-step explanation:
X3-7x=6x-12
x3-7x-6x+12=0
x3-13x+12=0
(x-1)(x2+x-12)=0
Calculate delta of the second bracket:
delta = 1+4*12=49
sqrt(delta)=sqrt(49)=7
x_1=(-1-7)/2=-4
x_2=(-1+7)/2=3
(x-1)(x+4)(x-3)=0
Answear:
Roots: x=1, x=-4, x=3.
Answer:
move the decimal point in 4.082 4 places to the left
Step-by-step explanation:
i hope this helps :)
Answer:
y = -⅔x + ²²/₃
Step-by-step explanation:
1. Calculate the slope of EF
Assume E is at (-2, 5) and F is at (1, 3).
m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔
2. Calculate the slope of the parallel line
m₂ = m₁ = -⅔
3. Calculate its y-intercept
y = mx + b
6 =-⅔(2) + b
Simplify
6 = -⁴/₃ + b
Add ⁴/₃ to each side
b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃
The y-intercept is at (0,²²/₃).
4. Write the equation for the line
y = -⅔x + ²²/₃
The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).
