Answer:
Step-by-step explanation:
The original price of the wind chimes at the home improvement store is $w.
A customer signed up for a free membership card and received a 5% discount off the price. The value of the discount is
5/100 × w = 0.05w
The discounted price would be
w - 0.05w = 0.95w
Sales tax of 6% was applied after the discount. The amount of sales tax applied would be
6/100 × 0.95w = 0.057w
The algebraic expression to represent the final price of the wind chime is
0.95w + 0.057w
= 1.007w
3x+6=-2-2x
Answer:
x = -8/5
x = -1.6
Step-by-step explanation:
3x+6=-2-2x
Add 2x to each side
3x+2x+6=-2-2x+2x
5x+6 = -2x
Subtract 6 from each side
5x+6-6 = -2-6
5x= -8
Divide each side by 5
5x/5 = -8/5
x = -8/5
x = -1.6
The cost to install a swimming pool as a function of its area can be modeled by the linear equation y = 35x + 15,000, where y is the cost and x is the area in square feet. The cost increases by $35 per extra square foot of area.
The first step in modelling this scenario is to identify the slope of the linear relationship between the pool's area and its cost. The slope can be determined using the formula:
m = (y2 - y1) / (x2 - x1)
Where:
Applying these numbers to the formula gives a slope (m) equal to $35 per square foot.
Next, we can determine the y-intercept (b) of the equation by substituting one of the points and the calculated m into the equation y = mx + b:
$50,000 = $35 * 1000 + b, solving for b gives b = $15,000.
Therefore, the linear equation that models this situation is y = 35x + 15,000. The graph of this equation is a straight line that starts at (0, 15,000) and increases with a slope of 35. Every increase in pool area of 1 square foot increases the cost by $35.
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Answer:
$35,000
Step-by-step explanation:
if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain
Answer:
-15
Step-by-step explanation:
If it fell 3 deg every hour for 5 hours so the equation is 3*5 plus a - sign because it dropped degrees
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answer:
opt B (2,0)
Step-by-step explanation:
.
.
.
pls rate
Answer:
B
Step-by-step explanation:
.True
.False
Answer:
False
Step-by-step explanation:
Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.
The functions f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses of each other.
Two functions are inverses of each other if the composition of the functions results in the identity function. To check if f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses, we need to find their composition.
Let's substitute g(x) into f(x) and simplify: f(g(x)) = f((1/3)x + 7) = 3((1/3)x + 7) - 7 = x + 7 - 7 = x.
Since f(g(x)) = x, it means that f(x) and g(x) are inverses of each other, and therefore the statement is True.
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