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stiks02 [169]
3 years ago
10

Expand and simplify this equation

Mathematics
2 answers:
bija089 [108]3 years ago
7 0

Answer:

8x + 11

Step-by-step explanation:

3(2x + 1) + 2(x + 4) \\  = 3 \times 2x + 3 \times 1 + 2 \times x + 2 \times 4 \\  = 6x + 3 + 2x + 8 \\  = 8x + 11

denis23 [38]3 years ago
3 0

Answer:

6x + 3 + 2x + 8

Step-by-step explanation:

3*2x=6x

3*1=3

2*x=2x

2*4=8

Answer = 6x + 3 + 2x + 8

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3 years ago
Starting at the same point, Joe and Anita go roller blading in opposite directions. If Joe roller blades at a speed of 4 mph, an
agasfer [191]

Answer:

They will be at a distance of 16 miles apart from each other.

Step-by-step explanation:

Both Joe and Anita start roller balding in opposite directions, and both of them have the same speed of 4 mph.

As they move oppositely in a straight line therefore, the distance between them will be the distance travelled by each of them's sum.

Distance covered by Joe in 2 hours= 8 miles

Distance covered by Anita in 2 hours= 8 miles

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3 years ago
A meteorologist who sampled 4 thunderstorms found that the average speed at which they traveled across a certain state was 16 mi
DENIUS [597]

Answer:

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Step-by-step explanation:

Mean = x`= 16 miles per hour

standard deviation =s= 4.1 miles per hour

n= 4

\frac{s}{\sqrt n}  =  4.1/√4= 4.1/2= 2.05

1-α= 0.9

degrees of freedom =n-1=  df= 3

∈ ( estimator  t with 90 % and df= 3 from t - table ) 2.353

Using Students' t - test

x`±∈ * \frac{s}{\sqrt n}

Putting values

16 ± 2.353 * 2.05

= 16 + 4.82365

20.824  ;        11.176

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

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3 years ago
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When you went to sleep, the temperature was −2.8°C.
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3 years ago
Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !
victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

2x^2+18x=20

x^2+9x=\frac{20}{2}

x^2+9x-10=0

ax^2+bx+c=0

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

D=b^2-4ac=(9)^2-4(1)(-10)=121

x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1

x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)

The solution of the given quadratic equation is 1 and (-10).

5 0
3 years ago
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