5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
E^x is not zero for any finite value of x.
The number of values for which e^x is zero is zero.
Answer:
y = -5/2x - 13
Step-by-step explanation:
First, we have to find the slope of the original equation
Subtract 5x from both sides
5x + 2y = 1
- 5x - 5x
2y = -5x + 1
Divide both sides by 2
2y/2 = (-5x + 1)/2
y = -5/2x + 1/2
The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation
y = -5/2x + b
Plug in the given x and y
-3 = -5/2(-2) + b
-3 = 10 + b
Subtract 10 from both sides
-3 = 10 + b
- 10 - 10
b = -13
This makes our equation: y = -5/2x - 13
Yes they are the same because when the negative is distributed into (an+c), the plus sign becomes a negative.
