The number of permutations of the 4 different digits is:
The answer is 24 ways.
The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
marusya05 [52]
Answer:
The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>
Step-by-step explanation:
g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.
f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.
f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)
In order to check this result, we make:
f(x) = 3x + 1
f(x-2) = 3(x-2) + 1
f(x-2) = 3x - 6 + 1
f(x-2) = 3x - 5 = g(x)
Answer:
3 cups
Step-by-step explanation:
the original recipe calls for 6 cups of flour (3 times as much as sugar. sugar is 2 cups, times 3 is 6)
half it: 6/2 = 3
Answer:
Step-by-step explanation:
2) a(a + b) + b(a - b) - 2ab / a² - b²
= a² + ab + ab - b² - 2ab / a² - b²
= a² - b² / a² - b²
= 1
3) [x - 1/(x - 1)(x - 2)] + [x - 2/(x -2)(x - 3)]
= (1 / x - 2) + (1 / x - 3)
= x - 3 + x - 2 / (x - 2)(x - 3)
= 2x - 5 / x² - 5x + 6
Answer:
f^-1(x) = 1/4 x - 7/4
Step-by-step explanation:
f(x)=4x+7
Inverse:
x = 4y + 7
4y = x - 7
y = 1/4 x - 7/4
Answer
f^-1(x) = 1/4 x - 7/4
