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____ [38]
3 years ago
14

How many different outfit combinations does Michael have to choose from if he has 4 pairs of shorts and 2 shirts?

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

8

Step-by-step explanation:

4*2=8

harina [27]3 years ago
3 0

Answer:

8

Step-by-step explanation:

4x2=8

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Simplify the expression b+2/b^2-4
Lubov Fominskaja [6]
3b because b^2-4= 1/b. So 2/1/b= 2b b+2b = 3b
8 0
3 years ago
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Solve the following equation by completing the square. 12x^2 - 48x = -39​
daser333 [38]

Answer:

\large\boxed{\boxed{x = \begin{cases} \frac{ \sqrt{3} }{2}  + 2 \\     - \frac{ \sqrt{3} }{2}  + 2 \end{cases}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic equation
  • PEMDAS
<h3>let's solve:</h3>
  1. \sf divide \: both \: sides \: by \: 12 :  \\  \sf  {x}^{2}  - 4x =  -  \frac{13}{4}
  2. \sf \: add  \: { -  2}^{2}  \: to \: both  \: sides :  \\  \sf  { {x}^{2} } - 4x + ( -  {2}^{2} ) =  \frac{13}{4}  + (  { - 2}^{2} ) \\  {x}^{2}  - 4x  + 4 =  \frac{13}{4}  + 4
  3. \sf simplify \: addition :  \\  \sf  { {x}^{2} } - 4x + 4 =  \frac{3}{4}
  4. \sf use \:  {a}^{2}  - 2ab +  {b}^{2}  = (a - b {)}^{2}  :  \\  \sf (x - 2 {)}^{2}  =  \frac{3}{4}
  5. \sf squre \: root \: both \: sides :  \\  \sf  \sqrt{(x - 2 {)}^{2} }  =  \pm \sqrt{ \frac{3}{4} }  \\ \begin{cases} x  - 2 =  \frac{ \sqrt{3} }{2}  \\x - 2 =  -  \frac{ \sqrt{3} }{2}  \end{cases}
  6. \sf add  \: 2 \: to \: both \: sides :  \\  \sf  \begin{cases}x =  \frac{ \sqrt{3} }{2}  + 2 \\  x =   - \frac{ \sqrt{3} }{2}  + 2 \end{cases} \\  \therefore \: x =  \begin{cases} \frac{ \sqrt{3} }{2}  + 2 \\     - \frac{ \sqrt{3} }{2}  + 2 \end{cases}
7 0
3 years ago
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There is a stack of 8 cards each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace
Alex Ar [27]

Answer:

Step-by-step explanation:

odd numbers are 1,3,5,7

number of odd cards=4

Total number of cards=8

Number of cards less than 4=3  {1,2,3}

Required~probability=\frac{4}{8} *\frac{3}{8} =\frac{3}{16}

3 0
3 years ago
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2x+3y=4 cual es la respuesta??
nadezda [96]

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

Voy a suponer que necesitas resolver para y.

2x + 3y = 4

3y = -2x + 4

y = -2/3x + 4/3

5 0
2 years ago
The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.
Vadim26 [7]

Answer: a) y=0.50x+15  

b) The graph of this equation form on a coordinate plane is a line.

c) Slope  =0.50 and y-intercept = 15

Step-by-step explanation:

Let x = Number of miles driven by car

Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.

a) Total cost = 0.50x+15

If y =total cost of renting the car, then y=0.50x+15   (i)

b) Above equation is similar to y= mx+c  (ii) [m = slope , xc=y-intercept] which a linear equation .

So the graph of this equation form on a coordinate plane is a line.

c) Comparing (i) and (ii)

m=0.50 , c=15

Slope  =0.50 and y-intercept = 15

3 0
3 years ago
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