Answer: The friend won the round.
Step-by-step explanation:
We want to find the lowest score.
The lowest score means the smallest value.
With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.
As you move to the left on the number line, the numbers get smaller. As you move to the right on a number line, the values get bigger
Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.
Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.
Hence the friend won the round.
X = 5 - 3y
x = 2y - 10
5 - 3y = 2y - 10
<u> + 3y + 3y </u>
5 = 5y - 10
<u>+ 10 + 10</u>
<u>15</u> = <u>5y</u>
5 5
3 = y
x = 2y - 10
x = 2(3) - 10
x = 6 - 10
x = -4
(x, y) = (-4, 3)
the sine function is a many-to-one function and therefore has no inverse function.
However if the domain is restricted to -90° ≤ x ≤ 90°
Then the function is one-to-one for this domain
Thus, 
x is defined as the angle such that - π/2 ≤ x ≤ π/2
5π/6 is therefore outwith the domain
The pink is 
and the purple is 
. Have a great day!
Answer:
Sum of money invested in corporate bonds = 30,000
Step-by-step explanation:
Total sum = 40,000
The rate of interest for corporate bonds = 10 % = 0.1
The rate of interest for municipal bonds = 6 % = 0.06
Total interest = 3600
Let sum of money invested in corporate bonds = x
The sum of money invested in municipal bonds = 40000 - x
× 0.1 × 1 + (
) × 0.06 × 1 = 3600
(0.1- 0.06) + 2400 = 3600
0.04 = 1200
= 30,000
Since x = sum of money invested in corporate bonds
So sum of money invested in corporate bonds = 30000
