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Sagot :
Answer:
See below ↓
Step-by-step explanation:
Solve for x.
2.1.1
- px + qx = a
- x (p + q) = a
- x = a / (p + q)
2.1.2
- 2x² - 5x + 2 = 0
- 2x² - 4x - x + 2 = 0
- 2x(x - 2) - 1(x - 2) = 0
- (2x - 1)(x - 2) = 0
- x = 1/2, 2
2.1.3
- [tex](\frac{1}{2} )^{3x+1}[/tex] = 32
- [tex]2x^{-3x-1} = 2^{5}[/tex]
- -3x - 1 = 5
- -3x = 6
- x = -2
I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.
Hope this helped~
Answer:
x = a/(p+q)
x = 2 or x = 1/2
x = -2
m≤ -1 or m<4
-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.
x = -3 and y = 9.
Step-by-step explanation:
The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).
px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.
Solve quadratically for the second one.
For the third one, apply the laws of indices to work out.
32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1 = ( 1/2)^-5.......Drop the base numbers since they are common.
3x + 1 = -5.........then solve to get x as -2.
For the fourth one, we solve for m by separating it into 2.
the first one is: -11 ≤ 3m - 8.
the second one: 3m - 8 < 4
then solve like a normal equation but maintain the inequality signs.
For the integral values, you'll get them from the answers because the answers are a range
The last one you solve simultaneously either by substitution or elimination method.
HOPE THIS HELPS
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