Answer:
x=3
y=5
Step-by-step explanation:
3x+2y=19
- 2x+2y=16
_____________
x=3
3(3)=9
19-9=10
10÷2=5
y=5
The answer is “c” 0 Bc that is the only thing that makes sense
Hey there!
Line passes through (4, -1) & is parallel to 2x -3y=9
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.
The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.
Start off by subtracting 2x from both sides.
-3y = -2x + 9
Then, divide both sides by -3.
y = (-2x + 9)/-3
Simplify.
y = 2/3x - 3
"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).
y-y₁=m(x-x₁)
Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.
y - (-1) = 2/3(x - 4)
Simplify.
y + 1 = 2/3 + 8/3
Simplify by subtracting 1 from both sides.
y = 2/3x + 8/3 - 1
Simplify.
y = 2/3x + 5/3
~Hope I helped!~
If f is a one-to-one continuous function defined on an interval, then its inverse f−1 is also one-to-one and continuous.
Answer:
A cup of juice will cost 1.04 US dollars
Step-by-step explanation:
Here, we want to know the cost of one cup of juice in US dollars.
The cost of a quart of juice is Canada is 4.40CAN
now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN
Moving on;
We are told that 1 USD = 1.06 CAN ;
thus x usd = 1.10 CAN
1 * 1.10 = x * 1.06
x = 1.10/1.06
x = 1.037 which is approximately 1.04 USD
