Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
- when k=1, both equations will be same, then there are many solutions
- when k=0 there is one solution
- when k is anything different, then the lines will be parallel, so no solutions
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:
- left 1 unit
- down 2 units
Step-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
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2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
The answer is 160 because as you stated in the question the number of bacteria doubles every five minutes, and after 10 minutes there are 40. Therefore, after 15 minutes there are 80 (40 doubled is 80), and after 20 (another 5 minutes), the number of bacteria is the double of 80, which is 160.
- Hope I helped :)
- PeaceLoveHappiness
