hi there,
Let's solve your equation step-by-step.
2(x−7)−3(x−4)=1
Step 1: Simplify both sides of the equation.
2(x−7)−3(x−4)=1
(2)(x)+(2)(−7)+(−3)(x)+(−3)(−4)=1(Distribute)
2x+−14+−3x+12=1
(2x+−3x)+(−14+12)=1(Combine Like Terms)
−x+−2=1
−x−2=1
Step 2: Add 2 to both sides.
−x−2+2=1+2
−x=3
Step 3: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
Answer:
x=−3
Answer:
7x + 14y + 2
Step-by-step explanation:
(3x+8y+8)+(4x+6y-6)
3x + 8y + 8 + 4x + 6y - 6
3x + 4x + 8y + 6y + 8 - 6
7x + 14y + 2
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
Equation of the line:
y = 1.5x – 4.5
or
y = 3/2 - 9/2
Slope (m) = ΔY/ΔX= 3/2= 1.5
m= 1.5