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Kisachek [45]
3 years ago
13

Solve: (2a²+5a+2)^1/2=3

Mathematics
2 answers:
Softa [21]3 years ago
4 0

Answer: a= -7/2 or a= 1

Step-by-step explanation:

Ghella [55]3 years ago
3 0

When you have an expression to the power of (1/2) that means the same thing as having a square root.

Lets call a=x

To get rid of the square root we square both sides getting:

2x^2+5x+2= 3^2

Simplifying this we get: 2x^2+5x+2=9

We can subtract 9 from both sides getting: 2x^2+5x-7

Now when we solve for this we can use the quadratic formula:

(-b +/- sqrt(b^2-4ac)) / 2a

a=2 , b=5 , c=-7

Plugging in we end up with : (-5 +/- sqrt(81)) /4

This simplifies to : (-5 +/- 9) / 4 ..... (-5+ (-9))/4 OR (-5-(-9))/4

we have x= -14/4 , 1

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8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

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Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

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It can be less tedious to let a spreadsheet do the calculations.

6 0
3 years ago
Ax-by/c =d solve for x
wolverine [178]
Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

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ax = cd + by

3) divide by a on both sides to get:
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4 0
3 years ago
The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There
11Alexandr11 [23.1K]

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

(2)        F = C     Substitute (2) into (1)

            C = 1.8C + 32     Subtract 1.8 C from each side

C – 1.8 C = 32                   Combine like terms

    -0.8C = 32                   Divide each side by -0.8

          C = -32/0.8

(3)      C = -40                  Substitute (3) into (1)

         F = 1.8(-40) + 32

         F = -72 + 32

        F = -40

So, -40 °F = -40 °C

The thermometer below shows that -40 °F = -40 °C.

7 0
4 years ago
7.4 Centimeters to kilometers
Ket [755]

Answer:

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Step-by-step explanation:

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7 0
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