For this case we have the following equation:
Where,
n: number of invitations:
c: cost in dollars
We note that the slope of the line for this case is:
The slope represents the cost of printing each of the invitations.
Therefore, it is false that the cost of printing each invitation is $ 5.50
Answer:
the following is not true:
A) each invitation costs $ 5.50 to print.
I hope this helped you! Good luck!
By the word "dilation" we mean to say that the dimension of the new triangle is 6 times longer than the dimensions of the former triangle. The ratio between the area of the new triangle and the old one is equal to the square of the ratio of their sides. If we let x be the area of the larger triangle then,
(x / 2/3 cm²) = (6/1)²
The value of x from the equation is 24. Thus, the area of the larger triangle is equal to 24 cm².
The top and bottom length are 9 and 9 right? so multiply 9x2 which is 18cm. then to find the missing length, you already know that the length to your right is 6cm. and so will the one on your left will be 6cm, so multiply 6x2 and you get 12cm. add 18cm and 12cm and you get the answer 30cm. perimeter=30cm.
Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.
Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.
So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.
Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
Answer:
f = 3
Step-by-step explanation:
Solve for f:
13 - 6 f = 2 f - 11
Subtract 2 f from both sides:
13 + (-6 f - 2 f) = (2 f - 2 f) - 11
-6 f - 2 f = -8 f:
-8 f + 13 = (2 f - 2 f) - 11
2 f - 2 f = 0:
13 - 8 f = -11
Subtract 13 from both sides:
(13 - 13) - 8 f = -13 - 11
13 - 13 = 0:
-8 f = -13 - 11
-13 - 11 = -24:
-8 f = -24
Divide both sides of -8 f = -24 by -8:
(-8 f)/(-8) = (-24)/(-8)
(-8)/(-8) = 1:
f = (-24)/(-8)
The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:
Answer: f = 3
