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3 years ago

F(x)=2(x-4)(x+1) how do i convert this factored form to standard form?

1 answer:

5 0

I'd would do the FOIL method and then distribute the 2. But you can also distribute first. Either way, they want you to expand it.

(x - 4)(x + 1) = x(x) + x(1) - 4(x) - 4(1)

Simplify

x² + 1x - 4x - 4

Combine like terms:

x² - 3x - 4

Now, bring back that 2 to distribute.

2(x² - 3x - 4) = 2(x²) + 2(- 3x) + 2(- 4)

f(x) = 2x² - 6x - 8

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat

Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.

Let us find the sample score that corresponds to z-score of bottom 4%.

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

$z=\frac{x-\mu}{\sigma}$

$-1.75=\frac{x-5.71}{0.08}$

$-1.75*0.08=x-5.71$

$-0.14=x-5.71$

$-0.14+5.71=x-5.71+5.71$

$5.57=x$

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

$1.75=\frac{x-5.71}{0.08}$

$1.75*0.08=x-5.71$

$0.14=x-5.71$

$0.14+5.71=x-5.71+5.71$

$5.85=x$

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

7 0

3 years ago

Simplify the expression. 19m – 4m2 + 4m2

solmaris [256]

I am not sure what does that question mean by simplify. If it means not to solve and just arrange;
You can divide the whole of the equation to m^2

Then you get;
19/m -4 +4

And you can divide the whole equation to 4 then you get;

19/4m -1 +1

You can also write as ;
(1/m * 19/4) - 1 + 1

6 0

3 years ago

I need help in this question please

stepan [7]

The whole wall area including the window is 150 ft squared (15 ft x 10 ft). The window is 50 square feet (5 x 10). Take the whole area and subtract the window area and you have 100 sq ft thats paintable. One can is 50 sq ft so 100/50 is 2 cans of paint needed. Your answer is H.

4 0

3 years ago

Surface area of B is 40.32<br> surface area of a is 28

Nezavi [6.7K]

Answer:

Step-by-step explanation:

what's the question exactly?

3 0

3 years ago

Read 2 more answers

Find the volume of the regular pyramid given that 12 cm is the height of the pyramid.

PolarNik [594]