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katen-ka-za [31]
2 years ago
13

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFractio

n) squared 3 62
Mathematics
2 answers:
Alex73 [517]2 years ago
3 0

Answer:

\frac{9}{4}

Step-by-step explanation:

Given

x² + 3x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(\frac{3}{2} )x + (\frac{3}{2} )² = 6 + (\frac{3}{2} )²

The number added to both sides is (\frac{3}{2} )² = \frac{9}{4}

Firlakuza [10]2 years ago
3 0

Answer:

b

Step-by-step explanation:

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Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 6,000 pounds and the
solniwko [45]

Answer:

(5953.52,6046.49)

Step-by-step explanation:

We are given the following in the question:

Mean, \mu = 6,000 pounds

Sample size, n = 40

Alpha, α = 0.05

Standard deviation, σ = 150 pounds

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

6000 \pm 1.96(\dfrac{150}{\sqrt{40}} )\\\\ = 6000 \pm 46.4854=\\(5953.5146,6046.4854)\approx (5953.52,6046.49)

are the limits within which 95% of the sample means occur.

6 0
2 years ago
The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50
pashok25 [27]

Answer:

the answer is A

Step-by-step explanation:

edgenuity

6 0
2 years ago
4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3
erastovalidia [21]

Answer:

don't ask many questions at 1time

7 0
2 years ago
In circle Y, what is m∠SZT? 86° 94° 108° 128°
liraira [26]
I'm going to assume that is your shape. 
If that is your shape, this is simple:

First, you need to solve for the angle TZU. The formula for it is:
mTZU= 0.5(arcTU+arcSR)
mTZu= 0.5(72°+100°) = 86°

Vertical angles, as you should know, are congruent. Always. mTZU is a vertical angle to mSZR. This means mSZR is also 86°

Now, the sum of all angles should be 360°. Now you need to know the remaining angles, you can do this by:
360° - 86° - 86° = 188°

Now, last step. Since mSZR is also equal to RZU because they are vertical angles, this means you need to divide 188° by 2. 
188°/2 = 94°

Your answer: m∠SZT = 94°

~Hope this helps!

6 0
2 years ago
Read 2 more answers
If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other sy
zheka24 [161]

Answer:

56.31

Step-by-step explanation:

A 7.25% tax is $3.81

52.50-3.81+48.69

Hope it helps!

3 0
2 years ago
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