Answer:
Perimeter of rectangle = 4x + 80
Area = x² + 40x + 384
Step-by-step explanation:
Perimeter of rectangle = 2*(length + width)
= 2* (x + 24 + x + 16)
= 2*( x +x + 24 + 16) {Combine like terms}
= 2* (2x + 40)
Use Distributive property : a*(b +c) = a *b + a*c
= 2*2x + 2*40
= 4x + 80
Area of rectangle = length * width
= (x + 24) (x + 16) {use FOIL method}
= x*x + x*16 + 24*x + 24*16
= x² + 16x + 24x + 384 {Combine like terms}
= x² + 40x + 384
Answer: missing value is 3
Step-by-step explanation:To find the vertex form of parabola given in almost standard form were written following steps:
1. Write the function in standard form:
2. Factor a out of the first two terms:
3. Form a perfect square trinomial:
4. Write the trinomial as a binomial squared:
The vertex is (-3,-27).
Answer:
x=3
Step-by-step explanation:
3*3=9-1=8 so it is still bigger
Answer:
50,000
Step-by-step explanation:
1st car had $1,750 tax
2nd car has $3,500 tax
1750(2) = 3500
so your tax doubled so the price must be doubled.
The car is $50,000
Algebraically using direct variation:
t = kp where t=tax, p = purchase price,
and k is constant of variation
1750 = 25000k
k = 1750/25000
k = 0.07
Your equation is: t = 0.07p
3500 = 0.07p
p = 3500/0.07
p = $50,000
n = # of days
45 = 2.5n + 2n
45 = 4.5n
n = 10
He can paint 45 structures in 10 days
