K is the distance of the vertical translation.
Since you shifted the graph 7 units down, k will be equal to 7
So g(x) = (0.5)x - 7 is f(x) vertically translated 7 units down
If g(x) is obtained by shifting f(x) down by 7 units
meaning that
g(x)=(0.5)~~~~~7 units to the bottom from f(x)-k?
I can't explain but k=-7
it's g(x)=f(x)-(-7)
so the k=7.
f(x)-k=f(g)-7
the original function of f(x) is obtained by shifting f(g) 7 units down, or by -7
so x=7
We are given the following data
x y
1 4.5
2 6.75
3 10.125
4 15.1875
To get the multiplicative rate of change, we pick out two pairs of data so,
MROC = 6.75/4.5 / (2 - 1)
MROC = 1.5
The answer is 1.5
The set of side lengths that form a right triangle is 7, 24, 25
Explanation:
We can solve this using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2. We can plug each set of numbers into the equation, one by one, to see if the set of numbers is true in the equation. One thing to note is that the largest number out of the set is always the hypotenuse, or c. The other numbers are the legs (a and b.)
5, 11, 13
a^2 + b^2 = c^2
(5)^2 + (11)^2 = (13)^2
25 + 121 = 169
146 ≠ 169
Since 146 doesn't equal 169, this is NOT a right triangle
9, 24, 25
a^2 + b^2 = c^2
(9)^2 + (24)^2 = (25)^2
81 + 576 = 625
657 ≠ 625
Since 657 doesn't equal 625, this is NOT a right triangle
7, 24, 25
a^2 + b^2 = c^2
(7)^2 + (24)^2 = (25)^2
49 + 576 = 625
625 = 625
This equation is true, because 625 = 625. Therefore this IS a right triangle.
Answer:
2,856,271
Step-by-step explanation:
We presume your equation is intended to be ...
P = 1,030,000(1.12)^t
To find the prediction in 9 years, put 9 where t is and do the arithmetic.
P = 1030000(1.12^9) ≈ 2,856,271
In 9 years, the population is predicted to be about 2,856,271.
Answer:
95$
Step-by-step explanation:
Alli sells 5 bars, for each bar she earnd 5$ so she earns 5*5=25$
Janet sells 7 mugs, and for every mug she earns 10$ (twice then Alli), so she earns 7*10=70$
Together: 25+70=95$
