Answer:
The required expression is (x+2).
Step-by-step explanation:
The given point is (3,6).
Here,
x-coordinate = 3
y-coordinate = 6
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means
where, x' is new x-coordinate and x is initial x-coordinate.
Put x=3 in the above equation.
Therefore, the new x-coordinate is 5.
Answer:
C. y + 3 = 1/2(x - 6)
Step-by-step explanation:
y - y₁ = m(x - x₁)
x₁ = -3
y₁ = 6
m = 1/2
y - (6) = (1/2)(x - (-3))
y - 6 = 1/2(x + 3)
Answer:
$50.1
Step-by-step explanation:
If you plug 40 in for x in the equation y=0.94x+12.5 then you should get 50.1 for y.
Answer:
1.y=3x-7
2.y=-3x-5
3.y=x+2
4.y=-4x+1
5.y=x+6
6.y=1/2x+5
Step-by-step explanation:
parallel lines have the same slope
1.y-2=3(x-3)
y-2=3x-9
y=3x-9+2
y=3x-7
2.y-(-2)=-3(x-(-1))
y+2=-3x-3
y=-3x-3-2
y=-3x-5
3.y-1=1(x-(-1)
y-1=1(x+1)
y-1=1x+1
y=1x+1+1
y=1x+2
4,y-(-3)=-4(x-1)
y+3=-4x+4
y=-4x+4-3
y=-4x+1
5.y-2=1(x-(-4)
y-2=1(x+4)
y-2=1x+4
y=1x+4+2
y=1x+6
6.y-3=1/2(x-(-4)
y-3=1/2(x+4)
y-3=1/2x+4/2 simplify 4/2 to 2/1 =2
y=1/2x+2+3
y=1/2x+5
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Tabitha started working at a coffee shop making $8.75 per hour and that every 6 months, she gets a $0.40 cents raise.
a. The formula to represent her hourly wage after each raise would be:
= $8.75 + 0.40m
where m = period of 6 months
b. Find her hourly wage at 3yrs.
First we should note that 3 years = 3 × 12 = 36 months. Therefore, we would have 6 periods in 36 months since there's an increase every 6 months.
Therefore, using the formula
= $8.75 + 0.40m
where m = 6
= $8.75 + 0.40(6)
= $8.75 + $2.40
= $11.15