Answer:
-1.375
Step-by-step explanation:
The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b
Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0
So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0
Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0
<span>So the Standard form is 5x - 4y = 0</span>
Answer:
Overall answer: 10 1/9 - 1 5/18x (Most simplified answer)
Step-by-step explanation:
First you have to do all the Distributive property which the answer would be:
2 1/2 - 1/2x + 3 1/9 + 8/9x + 1/6x - 5/18x + 2 14/18 + 1 13/18
Then you have to find the common demoninator which would be 18
After that you have to put them in the correct order since there is two different terms which would be:
2 9/18 + 3 2/18 + 2 14/18 + 1 13/18 - 9/18x + 16/18x + 3/18x - 5/18x
After that you solve the problem which in the end after solving both terms it ends up as..:
10 2/18 - 1 5/18x
and I think that is as simplified as you can go term wise.
I hope this helps and I hope I didn't make a mistake :D
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Answer:
(2x+1)(x+6)
Step-by-step explanation:
