Divide .5 4 then do the rest
<span>The distributive property is: a(b + c) = ab + ac. In this expression, the example would be 8(54 + 0) = (8 x 54) + (8 x 0). The cost of eight family passes is therefore equal to 8 x 54. $432 is the answer.</span>
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Answer: The answer is C, 4 to the 21st over 5 to the 6th power.
Answer:
A) A check for $89.80 for Verizon bill = -89.8
A deposit of $89.80 = +89.8
B) The difference between the two is that,
For the check, money is taken or removed from the account to pay for a bill while
For the deposit, money is added to the account.
Step-by-step explanation:
Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his checkbook as an $89.80 deposit.
A) Represent each transaction with a rational number
A check for $89.80 for Verizon bill = -89.8
A deposit of $89.80 = +89.8
B) Explain the difference between the transactions.
For the first transaction which is a check for his Verizon bill, using a check on your account means Ishmael wants to withdraw money from his account to pay for the bill. The money in his account will be $89.8 lesser than the initial amount there.
For the second transaction which recording in his checkbook a deposit of $89.80 means $89.80 was added to an account.