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3 years ago

Solve for x, whats y= 3x + 5?

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

Answer:

=========================================

Explanation:

We start with x and multiply it with 3 to get 3x. Then we add on 5 to get 3x+5. This specific order is going to be followed in reverse to undo everything so we can isolate x.

We'll subtract 5 from both sides to undo the "plus 5" operation. Then we'll divide both sides by 3 to undo the "multiply by 3" operation.

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This is what the steps look like

y = 3x+5

y-5 = 3x+5-5 ... subtract 5 from both sides

y-5 = 3x

3x = y-5

3x/3 = (y-5)/3 ... divide both sides by 3

x = (y-5)/3

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3 years ago

Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.

Soloha48 [4]

Answer:

The solutions are:

$x=-2,\:x=-3,\:x=-1,\:x=4$

Step-by-step explanation:

To find the solutions to the equation $\left(x^2+5x+6\right)\left(x^2-3x-4\right)=0$ you need to:

Factor $\left(x^2+5x+6\right)$

Break the expression into groups

$x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)$

Factor out $x$ from $(x^2+2x)$

$x^2+2x=x\left(x+2\right)$

Factor out 3 from $3x+6$

$3x+6=3\left(x+2\right)$

$x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)$

Factor $\left(x^2-3x-4\right)$

$x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)$

Therefore

$\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0$

Using the Zero Factor Theorem:

5 0

4 years ago

Smith is a weld inspector at a shipyard. he knows from keeping track of good and substandard welds that for the afternoon? shift

In-s [12.5K]

The probability of finding a substandard weld is: p = 5% = 0.05 
We are given that the sample size: n = 300
Using the Poisson Distribution , the average number of welds (m) is:

m = n*p =

m = 300 * 0.05 
m =15

The standard deviation of welds (s) is calculated by:

s = sqrt (m)

s = sqrt (15)

s = 3.873

Assuming normal distribution, the z value corresponding to 30 sub standards is:
z =( X - Mean) / standard deviation
z =(30 - 15) / 3.873
z = 15 / 3.873
z = 3.87

The z value based on the standard normal curves has a maximum value of 3.49. Beyond that z value of 3.49 would mean exceeding 100%. Therefore z = 3.87 is not normal and definitely it is unusual to find 30 or more substandard.

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3 years ago

If y varies directly as x, and y = 6 when x = 4, find y when x = 12. y =

borishaifa [10]

y=14 I hope this helps!!

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3 years ago

Solve for x, whats y= 3x + 5?​

Solve for x, whats y= 3x + 5?