Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
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(b)
- 
= 
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
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(c) Assuming lg means log then using the rules of logarithms
log 
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
3 hats each is the largest amount Anthony can buy.
to get this answer i multiplied 3 friends by $5 ( amount of each hat) and got $15.
i divided that into $57 and got 3.8. So he can only afford to get each friend 3 hats each. Anthony should have $12 left
Answer:
4.2
Step-by-step explanation:
cos65°= adj/hyp
cos65°= x/10
x= cos65° * 10
*make sure your calculator is in degree mode
4.226
So it starts by 22.50 regularly so she worked 40 regular hours so $22.50 * 40h= $900 and in over time she gets double for working over time so $22.50 * 2 = $45 and she worked 12 hours so 12h * $45 = $540 then we need to add those two numbers up 900 + $540 = $1,440 is our answer/outcome.
Answer:
After x/450 minutes
Step-by-step explanation:
The speed uphill is 200 ft/min
The speed down hill is 250 ft/min
Lets take the hiking distance top to down hill is x ft
Remember speed=distance/time
Relative speed =200+250=450ft/min
Time to meet=distance/relative speed
Time to meet=x/450 min
