Answer:
they would have saved 35 dollars
Step-by-step explanation:
Ralph on his own would have paid 105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.
The answer is A
- you have to substitute 5 for x in both equations
- solve both equations separately
- subtract the functions
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x

So, this equation has no solution as both sides are not equal.
b) 
Solving:

So, this equation has one solution
c) 7(y-3)=6y-21
Solving:

So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
Formatted Options:
A. sin²A−cos²A
B. sin²A+cos²A
C. cos²A−sin²A
D. cosA−sinA
Answer:
C. cos²A−sin²A
Step-by-step explanation:
From the double angle formulas, we know that:
cos (A + B) = cosAcosB - sinAsinB
So, if B = A, then the above equation becomes;
cos(A + A) = cosAcosA - sinAsinA [i.e replacing B with A]
=>cos(2A) = (cosA)² - (sinA)²
=> cos(2A) = cos²A - sin²A
Therefore,
cos(2A) is equivalent to cos²A - sin²A
Answer:
(2x−1)(2x−3)
Step-by-step explanation:
4x² - 6x - 2x + 3
= 4x² - 8x + 3 (by factorization method, or choose any of your favorite methods)
= (2x−1)(2x−3)