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3 years ago

Ax-bx+y=z solve for x

Mathematics

2 answers:

yaroslaw [1]3 years ago

7 0

$\bold{Answer}$

$\boxed{\bold{x=\frac{z-y}{A-b};\quad \:A\ne \:b}}$

$\bold{Explanation}$

$\bold{Solve: \ Ax-bx+y=z}$

$\bold{-------------------}$

$\bold{Subtract \ Y \ From \ Both \ Sides}$

$\bold{Ax-bx+y-y=z-y}$

$\bold{Simplify}$

$\bold{Ax-bx=z-y}$

$\bold{Factor \ Ax-bx: \ x\left(A-b\right)}$

$\bold{x\left(A-b\right)=z-y}$

$\bold{Divide \ Both \ Sides \ By \ A-b;\quad \:A\ne \:b}$

$\bold{\frac{x\left(A-b\right)}{A-b}=\frac{z}{A-b}-\frac{y}{A-b};\quad \:A\ne \:b}$

$\bold{Simplify}$

$\bold{\frac{x\left(A-b\right)}{A-b}=\frac{z}{A-b}-\frac{y}{A-b};\quad \:A\ne \:b}$

$\boxed{\bold{Eclipsed}}$

Vladimir [108]3 years ago

6 0

Answer:

This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:

ax - bx = z - y

Then, we take x out as it is being multiplied to both a and b:

x(a - b) = z - y

Dividing (a - b) on both sides, we get:

x = (z - y) / (a - b)

Thus, the answer is x= z-y/a-b

Step-by-step explanation:

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Is x = 1 a function?

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A

Elena L [17]

Answer:

68 weeks

Step-by-step explanation:

1 week costs $11.50.

so, how many such weekly each cycles fit into the price of new machines ?

if they wait to long (to many weeks) they spend in total more money than buying a new machine.

but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).

so the break even point is simply

782 / 11.5 = 68 weeks.

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3 years ago

Consider the equation q= 4 +0.8p. What value of q would make the equation true when p is 7?

NARA [144]

Answer:

9.6

Step-by-step explanation:

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3 years ago

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"