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nignag [31]
3 years ago
9

The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Us

e factoring. (1 point)
Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0
Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4
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Luba_88 [7]
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<span>y=-4/x+1 is ambiguous, since it's not immediately clear whether you meant 

                                                -4
y = -4/x   +    1      or      y = ---------
                                               x+1

I'm going to assume that the latter is what you meant.

1.  Interchange x and y, obtaining:

               -4
     x = --------
             y+1

2.  Solve this for y, obtaining  y+1 = -4/x, or   xy + x = -4, or
                                
                                -x - 4
    xy = -x-4, or y = ---------
                                    x

                                   -1              -1                 4
3.  Replace y with    f      (x):      f    (x) = -1 - -----
                                                                         x

This last result has the correct form.</span>
8 0
3 years ago
Read 2 more answers
Help i tried to do it but not sure..
nlexa [21]

Answer:

3000

Step-by-step explanation:

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4 0
2 years ago
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11) In a triangle, the ratio of the measures of three angles is 2:5:8. Find the measures of
natta225 [31]

Answer:

Sum of interior angles of a triangle always = 180 degrees

add the individual ratios to get a sum composite ratio:

2+5+8 = 15

180 / 15 = 12

Multiply individual ratios:

{2:5:8} * 12 = 24:60:96

Check:

24 + 60 + 96 = 180

Step-by-step explanation:

I hope it's help

7 0
2 years ago
Phil can afford $200 a month for 5 years for a car loan. if the interest rate is 7.5 percent, how much can he afford to borrow t
madreJ [45]
200 per month for 5 years = 12,000
Phil can (at most) pay 12,000 for the car loan.
That would be the payment total.
So, how do we solve for the PRINCIPAL?
Looking at the attached formula, we see the
principal = Total - Total * ((1 +r)^-n) / r * n
where n = # of payments = 5 year * 12 months = 60 and
rate / 1.200 = 7.5/1,200 = .00625
 
principal = [12,000 - 12,000 * (1.00625)^-60] / .375
principal = [12,000 - 12,000 * <span> <span> <span> 0.6880918239 </span> </span> </span> ] / .375
principal = [12,000 - <span> <span> <span> 8,257.1018863488] / .375
</span></span></span>principal = <span> <span> <span> 3,742.</span></span></span>90 / .375
principal = 9,981.06

Source:
http://www.1728.org/loanfrm4.htm


6 0
3 years ago
Read 2 more answers
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