Answer:
x = 6
Step-by-step explanation:
→ Rewrite equation
x + 3 = 9
→ Minus 3 from both sides
x = 6
Answer:
1. 1
1x
2. 5
x + 7
3. 8x
4. 8
x + 9y
5. x + 8y + 12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a+11
9. a+16b+10
10. 13a+9b+11
11. 12a+2b+24
12. 4a+3b+1
13. 8x+6
14. 11x+20
15. 4x+27
16. 11x+8y
17. 5x+3y+18
18. 7x+15y+30
19. 7x+7y
20. 5x+10y+33
21. 2x+7y+37
22. 9x+7y+9
23. x+2x+7+3x+1= 6x+8
24. 3x+x+x+5+x+5+2x+3= 8x+13
Thank you for letting me do this math i needed it lol
<span>r=2sin0-3cos0</span>
explain<span>using the formula that links Cartesian to Polar coordinates.<span>∙y=r<span>sinθ</span></span><span>∙x=r<span>cosθ</span></span>then : <span>r<span>sinθ</span>=3r<span>cosθ</span>+2</span>and <span>r<span>sinθ</span>−3r<span>cosθ</span>=2</span>hence <span>r<span>(<span>sinθ</span>−3<span>cosθ</span>)</span>=2</span></span>
<span>⇒r=<span><span>2<span><span>sinθ</span>−3<span>cosθ</span></span></span></span></span>
Note that the notation
is just another way of writing
. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:
Which means that
And from there, it's just a matter of combining like terms to simplify.
Answer:
44%
Step-by-step explanation:
If p represents the number of portions and q represents the quantity in each portion, then the original amount needed was p·q.
After p is increased by 20%, its number is ...
p + 0.20·p = 1.20·p
After q is increased by 20%, its amount is ...
q + 0.20 ·q = 1.20·q
Then the new amount the parents must buy is ...
(1.20p)(1.20q) = 1.20²·pq = 1.44pq
This amount is ...
(1 + 44/100)·pq = pq + 44%·pq
It is 44% more than the original planned purchase.
