Answer:
I think it is twenty-three dimes and one quarter
Problem # 1
Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)
There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
(5x ) (x ) = 5x^2 +
2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3
3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.
For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6. This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.
As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.
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Problem # 2
Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
4x^2 (x - 3) (x - 4)
To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x )(x ) and guessing for which numbers will add to -7x and multiply to 12
odds against drawing a Jack are 48:4
odds in favor of drawing a Jack are: 4:48
Answer:
x=20°
Step-by-step explanation:
x° + 100° + 3x° = 180° => 4x°+100°=180° => 4x=180°-100°=80° => x=80° : 4 = 20° => x=20°
Answer:
15.21
Step-by-step explanation:
All of the bills total to $2432.50. The person works 160 hours in a month. $2432.50 ÷ 160 = $15.20, BUT:
$15.20 × 160 = $2432, which is 50 cents short of what they need, so one extra cent in their wage will give them the amount they need.
$15.21 × 160 = $2433.60
