Answer:
10x² + 6x + 3xy + 3y - y²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, as shown
(2x + y)(5x - y + 3)
= 2x(5x - y + 3) + y(5x - y + 3) ← distributing
= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )
= 10x² + 6x + 3xy + 3y - y²
The first answer is 25x + 45 = c
The second one is y=3x
Hopes this helps
Answer:
C) 7=y=5x+11
B) m=-4/5, b=13/5
Step-by-step explanation:
<u>Problem 1:</u>
A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.
<u>Problem 2:</u>
Convert to slope-intercept form (y=mx+b):
4x+5y=13
5y=13-4x
y=13/5-4/5x
y=-4/5x+13/5
Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.
Solve your system of equations step by step.
x−2y=14;x+3y=9
Solve x−2y=14 for x:
x−2y+2y=14+2y (Add 2y to both sides)
x=2y+14
Substitute (2y+14) for x in x+3y=9:
x+3y=9
2y+14+3y=9
5y+14=9(Simplify both sides of the equation)
5y+14+−14=9+−14 (Add -14 to both sides)
5y=−5
5y5=−55 (Divide both sides by 5)
y=−1
Substitute (−1) for y in x=2y+14:
x=2y+14
x=(2)(−1)+14
x=12(Simplify both sides of the equation)
So,
y=-1
x=12
Answer is C)
