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aleksandr82 [10.1K]
3 years ago
6

Simplify the following expression: 4 + b ( 12 - 3 ) - 2b

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

4+7b

Step-by-step explanation:

4+b(12-3)-2b

4+b(9)-2b

4+9b-2b

4+7b

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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
kolezko [41]
Start by finding her hourly rate. 32.50/5 = 6.5
Next times 6.5 * 8 = 52
Working 8 hours she would make $52
I wish I made that much.
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4 years ago
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boyakko [2]
Employment laws legislation i think
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3 years ago
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How to solve a mixed fraction?
Hunter-Best [27]
To solve a mixed fraction you will have to multiply the mixed number by the denominator then add the numerator for example:
7 3/4 you are gonna go 7x4=28 then you are gonna take that 28 and add 3 to it so it would be 31. I hope that helped some c:
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3 years ago
Jessica needs to make a necklace for 3 of her friends, including her. she wants to use 4.5 inches of string for each necklace. s
hoa [83]

Answer:

She can make two necklaces with 10 inches. 8 more inches

Step-by-step explanation:


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3 years ago
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