Use substitution to solve. 2x? = 5 + y 4y = -20 + 8x? Solve the first equation for y and substitute it into the second equation.
2 answers:
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Answer:
Step-by-step explanation:
We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.
We can see that for x values greater than or equal to 0 and less than 1, the function is a line.
We can see that our given line is a horizontal line, so it will be in form intersecting y-axis at
.
The given crosses y-axis at (0,2), therefore, its equation would be .
We can see that for x values greater than 1, the graph is a reflected and shifted square root function.
The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be .
The function is not defined at and it can a jump continuity.
Therefore, our required piece-wise function would be:
Answer:
Probability that both cans were regular soda =
Step-by-step explanation:
Probability =
We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.
Probability that first can is a regular soda:
Outcome that first can is a regular soda will give us the number of regular soda available which are 4
Using formula of probability
Total possible outcomes are, n(total) = 12
Desired outcome: 4 (cans of regular soda)
P(1st can) = =
Probability that 2nd can is a regular soda:
<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>
Total possible outcomes are, n(total) = 11
Desired outcome: 3 (cans of regular soda as one has already been taken)
P(2nd can) =
Probability that both cans are regular soda:
P(both) = P(1st can) × P(2nd can)
=
=
Answer: x - 2
<u>Step-by-step explanation:</u>
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
The only factor that all three expressions have in common is: x - 2