Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer: 6cups of flour
Step-by-step explanation:
3cups of sugar to 2cups of flour
9cups of sugar to xcups of flour
Let sugar rep s
Flour rep f
So we have;
3s=2f
9s= xf
Cross multiply
3s×xf=2f×9s
Xf=2f×9s/3s
Xf=6f
Therefore, 9cups of sugar will be to 6cups of flour
Answer:
+89
Step-by-step explanation:
Answer:
8×10⁸
Step-by-step explanation:
2.25×10⁸ +3.50×10⁸ +2.25×10⁸ = (2.25 +3.50 +2.25)×10⁸ = 8×10⁸
__
Your calculator can do this for you and display the result in scientific notation.
Answer:
Step-by-step explanation:
If a 40% income tax is deducted from Mrs. Frank's income, her total/net income will be 60% of her income before income tax.
Therefore, her net pay is equal to .