C=1.50 * 12 = 18.00$
L=2.50 * 12 = 30.00$
18.00 + 30.00 = 48.00
T=48.00$
Answer:
The answer to your question is: 16x + 3
Step-by-step explanation:
Step 1 : f(x) = 8x² + 3x
f(x +h) = 8(x + h)² + 3( x + h)
f(x + h) = 8( x² + 2xh + h²) + 3( x + h)
f (x + h) = 8x² + 16xh + 8h² + 3x + 3h
Step 2 f(x+h) - f(x) = 8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)
= 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x
= 16xh + 8h² + 3 h
Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h
= 16x + 8h + 3
Step 4 lim f(x + h) - f(x)/ h = lim 16x + 8h + 3 = lim 16x + 8(0) + 3 = 16x + 3
h ⇒0 h ⇒0 h ⇒0
The solution of the system of equations is (-1 , -1)
Step-by-step explanation:
To solve the system of linear equations by substitution method
- Use one of the two equation to find one variable in terms of the other terms
- Substitute this variable in the second equation to find an equation of one variable
- Solve the equation to find the this variable
- Find the first variable using the substitution equation
∵ x + y = -2 ⇒ (1)
∵ y = 4x + 3 ⇒ (2)
- Substitute y in equation (1) by equation (2)
∴ x + (4x + 3) = -2
- Add like terms
∴ (x + 4x) + 3 = -2
∴ 5x + 3 = -2
- Subtract 3 from both sides
∴ 5x = -5
- Divide both sides by 5
∴ x = -1
- Substitute the value of x by -1 in equation (20 to find y
∴ y = 4(-1) + 3
∴ y = -4 + 3
∴ y = -1
The solution of the system of equations is (-1 , -1)
Learn more:
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Answer:
B
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
-8 and -4 have a GCF of -4, thus:
-8u^2-4u^2
-4(2u^2+u^2)
Factor out u^2:
-4u^2(2+1)
-4u^2(3)
-12u^2
Realistically, it's easier to do (-8-4)u^2