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viktelen [127]
3 years ago
10

I need help with these three problems.... please help me????

Mathematics
1 answer:
viva [34]3 years ago
5 0

12. Answer: 2130

<u>Step-by-step explanation:</u>

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

"y" represents the number of years after 1990

 1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

      = \frac{-35}{9843}

      = \frac{-0.0036}{1}

**************************************************************

14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

(200, 55) and (500, 140)

rate = \frac{140-55}{500-200}

      = \frac{85}{300}

      = \frac{0.28}{1}

 

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Answer:

a. 6.93 b. 5 c. 6.72 d. 3.46

Step-by-step explanation:

a.  √4^2- 4(4)(-2)

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      Multiply

    √16-16(-2) = √16-(-32) = √16+32 Since 2 negatives equal a positive.

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       √25=5

c.     √1^2-4(1)(-11)

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       √1-4(1)(-11)

       Multiply

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d.     √6^2-4(3)(2)

        Evaluate the power

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        Multiply

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An equation is shown below:
IrinaK [193]
5(2x - 8) + 15 = -15
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  ÷5             ÷5             divide both sides by 5
2x - 8 = -6
     +8    +8                   add 8 to each side
2x=2
÷2  ÷2                          divide both sides by 3
x = 1

Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15             Correct! x=1
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