Answer:
a vertical shift of 6 units up
Step-by-step explanation:
We have the transformation:
g(x) = f(x) + k
This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.
Here we can see that the graph of f(x) intersects the y-axis at y = -2
While the graph of g(x) intersects the y-axis at y = 4.
Then the distance between these two points is:
4 - (-2) = 6
This means that the graph of g(x) is 6 units above the graph of f(x)
Then we have that k must be equal to 6, then the transformation is:
g(x) = f(x) + 6
This is a vertical shift of 6 units up.
3x + 19 = 10
because X = - 3
I think it would be 84 + 0.45m + 108.
Which simplified could be 0.45m + 192. Hope it helps! :)
Answer:
C
Step-by-step explanation:
the line of C follows the dots
There is 1 way to make 30 cents using only pennies. (i.e. 30 pennies = 30 cents)
There is 1 way to make 30 cents using only nickels. (i.e. 6 nickels = 30 cents)
There is 1 way to make 30 cents using only dimes. (i.e. 3 dimes = 30 cents)
There are 5 ways to make 30 cents using only pennies and nickels. (i.e. 25 pennies + 1 nickel = 30 cents, 20 pennies + 2 nickels = 30 cents . . . )
There are 2 ways of making 30 cents using only pennies and dimes. (i.e. 20 pennies + 1 dime = 30 cents, 10 pennies + 2 dimes = 30 cents)
There is 1 way of making 30 cents using only pennies and quarters. (i.e. 5 pennies + 1 quarter = 30 cents)
There are 2 ways of making 30 cents using only nickels and dimes. (i.e. 4 nickels + 1 dime = 30 cents, 2 nickels + 2 dimes = 30 cents)
There is 1 way of making 30 cents using only nickels and quarters. (i.e. 1 nickel + 1 quarter = 30 cents)
There are 4 ways to make 30 cents using only pennies, nickels and dimes. (i.e. 15 pennies + 1 nickel + 1 dime = 30 cents, 10 pennies + 2 nickels + 1 dime = 30 cents . . .
)
Adding all the possible combinations therefore, there are 18 <span>different ways are there to make 30 cents with pennies nickels dimes or quarters.</span>
