Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
$1.89 all you have to do is subtract the final cost to the cost before taxes.
Answer:
4x² + 41x - 33
Step-by-step explanation:
- F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
- O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
- I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
- Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
- Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.
Hope this helps!
Answer:
B
Step-by-step explanation:
Using pythagoras theorem
The equation of a direct variation is of the form
But the given function can be rewritten as
This is a partial variation,
is the constant of variation and
is the fixed constant.
