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3 years ago

Make c the subject: x=-b+(b²-4ac) divided by 2a The brackets mean square root

1 answer:

7 0

$x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\
2ax=-b+\sqrt{b^2-4ac}\\
\sqrt{b^2-4ac}=2ax+b\\
b^2-4ac=(2ax+b)^2\\
-4ac=4a^2x^2+4abx+b^2-b^2\\
-4ac=4a^2x^2+4abx\\
c=-ax^2-bx$

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4/r=5/7solve for r. Help pls

antiseptic1488 [7]

Hello!

You first cross multiply

4 * 7 = 28

5 * r = 5 * r

r * 5 = 28

Divide both sides by 5

r = 28/5 = 5.6

The answer is 28/5 or 5.6

Hope this helps!

4 0

3 years ago

Read 2 more answers

I don’t understand what i can do

alexandr402 [8]

Answer:

14.037

Step-by-step explanation:

$3^{-3} +5+9\\$

0.037+5+9

14.037

4 0

3 years ago

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, $(2\times4)=8$ .

Compute the probability of exactly 7 defects in 4 units as follows:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

Thus, the probability of exactly 7 defects in 4 units is 0.14.

8 0

3 years ago

Please help. Don’t understand this math problem!!!

anzhelika [568]

Answer:

the line will have a point at -5, as that is it's y- intercept, and the slope is one so each following point is one diagonal to it on the right side, as the slope is positive

Step-by-step explanation:

3 0

3 years ago

James bought 2 bottles of lemonade and 1 bag of crisps for £1.40 . Jill bought 1 bottle of lemonade and 3 bags of crisps for £1.

aleksklad [387]

<span>Hence
2L + C = 1.4
-2L - 6C = -3.4
Add (This will eliminate 'L' )

-5C = -2.0
5C = 2.0
C = 0.4 = £0.40p

2L + 0.4 = 1.40
2L = 1.40 - 0.40 = 1.00
L = 0.50 = £0.50p.

Hence a lemonade (L) costs £0.50p & a Crisps (C) costs £0.40p.</span>

6 0

4 years ago