There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
Answer:
Step-by-step explanation:
<u>Prime factors of 2100 are:</u>
<u>The single-digit divisors are:</u>
- 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7
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<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>
- 2100/1 = 2100, yes
- 2100/2 = 1050, yes
- 2100/3 = 700, yes
- 2100/4 = 525, yes
- 2100/5 = 420, yes
- 2100/6 = 350, yes
- 2100/7 = 300, yes
- 2100/8 = 262.5, no
- 2100/9 = 233.33, no
So all the numbers from 1 to 7
Answer:
The correct option is B.
Step-by-step explanation:
The amount of money, in dollars, in a savings account after x years is given by 
This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.
Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.
So, the correct option is B. (Answer)
$1.60
Divide 80 by 50 to find the cost of one brownie which will then lead you to get you the answer of $1.60
Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
