Answer:
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Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The line representing Murphy street goes through point (0, 3) and has a slope of 2/1 = 2. Its equation is then ...
y = mx + b
y = 2x +3
The translation vector transforms this equation* by adding -1 to y, and replacing x with x-1.
y = (2(x-1)) +3) -1
y = 2x -2 +3 -1 . . . . eliminate parentheses
y = 2x . . . . . . . . . . . the equation for Nolan street
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Of course, adding (1, -1) to the point (0, 3) moves it to ...
(1, -1) +(0, 3) = (0+1, -1+3) = (1, 2)
The image of (0, 3) is (1, 2).
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* f(x) is translated by (a, b) this way: g(x) = f(x-a) +b. Here, f(x) = 2x+3 is translated to f(x-1)+(-1) = (2(x-1) +3) -1.
Answer:
$750.
Step-by-step explanation:
Let x represent the number of pizzas sold, and y represent the pizza parlor's profits in dollars.
We have been given the linear regression line
, which predicts a pizza parlor's profits based on the number of pizzas sold.
To find the profit of pizza parlor when it sells 275 pizzas, we will substitute x=275 in our given equation.
![y=3.009*275-77.131](https://tex.z-dn.net/?f=y%3D3.009%2A275-77.131)
![y=827.475-77.131](https://tex.z-dn.net/?f=y%3D827.475-77.131)
![y=750.344\approx 750](https://tex.z-dn.net/?f=y%3D750.344%5Capprox%20750)
Therefore, the pizza parlor will make a profit of $750, if it sells 275 pizzas.
Answer:
Composition of f and g = 6x + 7
Composition of g and f = 6x + 11
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x + 2
f(g(x)) = 2(g(x)) + 3 = 2(3x + 2) + 3 = 6x + 4 + 3 = 6x + 7
g(f(x)) = 3(f(x)) + 2 = 3(2x + 3) + 2 = 6x + 9 + 2 = 6x + 11
If an item is $175.50 at a 35% discount, you'll be saving $61.42