Which two points satisfy y=-x2(^)+2x+4 and x+y=4?

1 answer:

5 0

Use subtitution method to solve the problem.

First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x

Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3

Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4

For x = 3
y = 4 - x
y = 4 - 3
y = 1

The solution is (0,4) and (3,1). The answer is option b

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Karla had $138.72 in her checking account. She wrote checks for $45.23 and $18. Then she made a deposit for 75.85 into her accou

vampirchik [111]

Answer:

$151.34

Step-by-step explanation:

First, Karla starts with $138.72.

Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.

$138.72 - $45.23 - $18.00 = $75.49

Now, Karla has $75.49 in her account.

However, a $75.85 deposit is made to her account. So let's add this back to the total.

$75.49 + $75.85 = $151.34