Answer:
y = 0.87x + 0.02
Step-by-step explanation:
Euros as a function of dollars means that euros is y and dollars are x.
We are given 2 points: (4, 3.5) and (10, 8.72)
slope = (8.72 - 3.5)/(10 - 4)
slope = 5.22/6 = 0.87
y = 0.87x + b
3.5 = 0.87(4) + b
b = 0.02
y = 0.87x + 0.02
Answer:
(f+g)(x) = 13x + 3
Step-by-step explanation:
Rewrite f(x)=2x+7 and g(x)=11x-4 in columns, as follows:
f(x)=2x+7
+g(x)=11x-4
----------------
Now add each column separately.
f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")
2x + 11x = 13x, and, finally, 7-4 = 3.
Therefore,
f(x)=2x+7
+g(x)=11x-4
----------------
(f+g)(x) = 13x + 3
Answer:
19;30
Step-by-step explanation:
Adding them together is the total
Equation A find “m” and “b”:
“B” is the y-intercept when x = 0. They give this in the table as “-2” so b = -2
Find slope (m) = (-8)-(-2)/(-2)-0 = 3
Equation A is y = 3x - 2 (y = mx + b)
Equation B find “m” and “b”:
Find m = (-9)-(-5)/(-3)-(-1) = 2
To find be, plug in m, x, and y from ANY coordinates in table b into y = mx + b:
-9 = 2(-3) + b
-9 = -6 + b
b = -3
Equation b is y = 2x -3
Use substitution and substitute all of equation “b” for “y” in equation a:
2x - 3 = 3x - 2
Algebra: x = -1
Plug back into equation a:
y = 3(-1) -2
y = -5
x = -1
(-1, -5) final answer (B)
Answer:
-2x^{2}-12x-26
Step-by-step explanation:
(x+3)^2 = x^2+6x+9
-2(x^2+6x+9)-8
-2x^2-12x-18-8
-2x^2-12x-26