Answer:
Step-by-step explanation:
all you have to do is pick to points from the graph and input then in <u>y1-y2 </u>
x1-x2
Answer:
235 bracelets
Step-by-step explanation:
Mai must spend $250 on wire and $5.30 per bracelet beads. Mai creates the expression.
We are given the equation:
5.3n+ 250 to represent the cost of making n bracelets.
The maximum number of bracelets Mai can make with a budget of $1500 Is calculated as:
$1500 = 5.3n+ 250
Collect like terms
1500 - 250 = 5.3n
1250 = 5.3n
n = 1250/5.3
n = 235.8490566 bracelets.
Bracelets are created as whole numbers and they can't be in decimal form.
Therefore, the maximum number of bracelets Mai can make with a budget of $1500 is 235 bracelets.
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
A "rational expression" is a fraction in which the numerator and the denominator are both polynomials. The sum of two such expressions will always produce another such expression, viz.,
<span>p(x)/q(x) + r(x)/s(x) = [p(x)s(x) + q(x)r(x)] / [q(x)*s(x)]. </span>
<span>The numerator and denominator of the sum will both be polynomials when fully expanded</span>
Answer:
24 cubic feet
Step-by-step explanation:
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