Answer:
a line parallel to the line y = 5x + 2 ---> y' = 5x + b (b ≠ 2)
y' = 5x + b goes through (-4, 3) ---> 3 = 5 × ( -4 ) + b ---> b = 23
⇒ y' = 5x + 23
Answer: x = 33°
Step-by-step explanation: A triangle's angles should all equal 180, so we can set up an equation to help us.
106 + 41 + x = 180
Add 106 and 41
147 + x = 180
Subtract 147 on both sides.
x = 33
And there you go :)
The third graph or bottom left graph represents 
Step-by-step explanation:
Step 1:
To determine which of the given graphs represents the equation 
, we substitute some values in the place of x.
When 
Anything with an exponent of 0 will equal 1.
So the graphs on the right side cannot be the answers.
Step 2:
Now we substitute another value to determine which graph represents
When 
The value of f(x) when 
is lesser than the value of f(x) when 
So the third graph or bottom left graph represents
Answer:
$1.21
Step-by-step explanation:
Start by finding the total amount spent on shirts. Do this by multiplying $3.65 and 4 together. You will get 14.6. So, he spent $14.60 on 4 shirts. Take this amount and subtract it from the total amount paid for shirts and socks. $23.07 minus $14.60. This will give you $8.47 left to spent on socks. $8.47 divided by 7 is $1.21. Therfore, James paid $1.21 per pair of socks.
