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Rashid [163]
3 years ago
10

Hi, Make y the subject of the formula x = a-2byx^{2}

Mathematics
1 answer:
vovikov84 [41]3 years ago
4 0

Answer:

Step-by-step explanation:

x = a - 2byx²

x - a = -2byx²

-2byx^{2}= x- a\\\\       y = \frac{x-a}{-2bx^{2}}\\\\   y =\frac{-(x-a)}{2bx^{2}}\\\\y=\frac{ -x + a}{2bx^{2}}\\\\y=\frac{ a -x }{2bx^{2}}\\

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(x-5)1/2+5=2<br> (x-5)1/2=-3<br> [(x-5)^1/2]^2=(-3)^2
Studentka2010 [4]

Answer:

x = 14

Step-by-step explanation:

You want to solve for x, right?

(x-5)^(1/2)+5=2

You have it right so far.

(x - 5)^(1/2) = -3

(x - 5)  =  (-3)^2

x - 5 = 9

x = 9 + 5 = 14

3 0
3 years ago
The value of a car depreciates by 35% each year
asambeis [7]

Answer:

£8400

Step-by-step explanation:

5 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
3 years ago
The area of the square
maria [59]

Answer:

length x width

Step-by-step explanation:

The formula for area of a square is A = lw

4 0
3 years ago
Read 2 more answers
Which equations are true for x = –2 and x = 2? Select two options
fomenos

Answer:

Number 1 and Number 4

Step-by-step explanation:

By factoring, you can figure out the roots (x = -2 or x = 2)...

1. x^2 - 4 = 0

--> (x + 2)(x - 2) = 0

--> x = -2, x = 2

2. x^2 + 4 = 0

--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.

3. 3x^2 + 12 = 0

--> 3 (x^2 + 4) = 0

--> factors weirdly (same as above)

4. 4x^2 - 16 = 0

--> 4 (x^2 - 4) = 0

--> 4 (x+2) (x-2) = 0

--> x = -2, x = 2

5. 2 (x-2) 2 = 0

--> x = 2

7 0
2 years ago
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