Answer:
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Step-by-step explanation:
Let us first analyse the given information in the question:
→ Small paints (lets call them 
) sell for $25.80 Per Painting, thus:
gives as the profit for number paints sold.
→ Large paints (lets call them 
) sell for $56.25 Per Painting, thus:
gives as the profit for number paints sold.
We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:
Eqn(1).
Thus the total profit of all paintings sold would be:
which by pluggin in Eqn(1) values gives
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5
Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
_____
<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
I don’t know i need points sorry so sorry
Answer:
B
Step-by-step explanation:
it is an exponential function
