Answer:
4
x
−
5
+
y
=
0
x
−
y
+
4
=
8
x
+
6
y
=
5
Step-by-step explanation:
1) y= -4x+c
2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1
3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3
4) DO THE SAME STEP AS NUMBER 3 and enjoy!
Answer:
26
Step-by-step explanation:
Let x represent the missing number

Convert both fractions to improper fractions

Cross multiply


Subtract both sides by 1,575


Divide both sides by 15

x = 26
4 500-60 = 4 440
4 440/38 = 116.8
At most they would be able to invite 116 people to the reception with their budget.
9514 1404 393
Answer:
f(x) = sin(0.62832(x +1))
Step-by-step explanation:
The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...
f(x) = sin(2π(x/10)) = sin(πx/5)
The upward zero-crossing is seen to be at -1, so this function has been shifted left 1 unit. This requires we replace x with x+1:
f(x) = sin(π/5(x +1))
If we use the given numerical value for pi, this becomes ...
f(x) = sin(0.62832(x +1))