If f(0) = -2 that means, when you put zero instead of x in the f(x) equation, it gives -2 as answer. m is given as 2/3. So,
f(x) = mx + b
f(0) = 2/3 * 0 + b = -2 then b = -2
Then you can write the general function as ;
f(x) = 2/3*m -2
And same steps for question 25;
m is given as -1/3
f(9) = -1/3 * 9 + b = 2 then b must be 5
Then the general form of the function;
f(x) = -1/3*m +5
Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
Answer:
-7x+14y-35
Step-by-step explanation:
A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81
Answer:
(8, -7)
Step-by-step explanation:
well since it flip over the x-axis only, the 8 stays the same, however, the 7 flips completely to the second quadrant and becomes -7.
Hope this helped and have a amazing day.