Answer:
(a)f(x)=0.8869x
(b)g(x)=143.1126x
(c)g(f(x))=126.9266x
(d)g(f(1000))=126926.6 Yen
Step-by-step explanation:
Given on a particular day
- One U.S. dollar could purchase 0.8869 Euros
- One Euro could purchase 143.1126 yen
(a)If x represents the number of Dollars
Since one can purchase 0.8869 Euro with 1 USD, the function f(x) is a direct relationship where x is dollars and f(x) is in Euros.
(b)If x represents the number of Euros
Since one can purchase 143.1126 yen with 1 Euros, the function g(x) is a direct relationship where x is Euros and g(x) is in Yen.
(c)Given:
g(f(x))=143.1126(0.8869x)
(d)g(f(1000))
- g(f(1000))=126.9266 X 1000 =126926.6 Yen
As long as a graph shows 2 or more intersections in a vertical line, an x input can equal multiple y outputs
Answer:
A. 37.5 feet *
Step-by-step explanation:
A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).
rule (x + 7, y − 1)
To find new coordinates we add 7 with x and subtract 1 from y
A(−2, 2) -----> A' (5,1)
B(−2, 4) -------> B' (5, 3)
C(2, 4) ---------> C' (9, 3)
D(2, 2) -------->D' (9, 1)
Characteristics
When we connect all the points by line segments, the line A'B' will be parallel to C'D'.
Also, B'C' parallel to A'D'.
All the four lines forms a rectangle .
Answer:
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12
The slope is 
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:
10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
