Answer:
x=3
Step-by-step explanation:
cross multiply
5(x+3)=3(x+7)
5x+15=3x+21
5x+15-3x=3x+21-3x
2x+15=21
2x+15-15=21-15
2x=6
x=3
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:
2 - 3 / 3 - 0
Subtract the values in order to get -1/3. There. The slope of the line is -1/3.
Answer:
0.8
Step-by-step explanation:
20 / 100 = 0.2
1 - 0.2 = 0.8
Answer:
f(x)=19x - 7x
Step-by-step explanation:
I am a high schooler as well and was working on this problem as well. I can't say I'm right or wrong because I didn't have a grade on it yet. I believe the answer is f(x)=19x - 7x. The Lines don't have a given value, so I chose the values 12 for Line A and 7 for Line B. I believe the answer is this because Line A would produce 12 bags each day and 3 of them would not be useable, leaving you with 9. Line B would produce 7 and 4 of them would be unusable, leaving you with 3. Line A produces 9 per day while Line B produces 3, and that would check off the part that says, "Line A produces 3 times as many bags as Line B each day." Throughout the problem, it talks about how many bags can each line produces each day, and the sentence talks about that specifically as well. So, the function must be about the amount of bags produced per day. x would represent the number of days that the Lines have been working. 19 is the total amount of bags that was produced in a day. 7 represents the total amount of bags that are unusable. Though I may be wrong, I hope this might help you come to a conculsion of your own.
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5
Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:
4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)
Let 's now solve the system
4y=3x + 20
4x-3y=-1
We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:
12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)
Then we have
12y = 9x + 60
-12y =-16x - 4
If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8
We were given equations
</span><span>y=3/4X+5
4x-3y=-1
We can subst. x=8 into either of these eqn's to find y. Let's try the first one:
y = (3/4)(8)+5 = 6+5=11
Then x=8 and y=11.
You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>
