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2 years ago

Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.

Mathematics

1 answer:

sergejj [24]2 years ago

8 0

Answer:

$a = 5\\\\b = -1\\\\c=1$

Step-by-step explanation:

Given

$-x+5x^2+1$

Required

Rewrite and identify a, b and c

The required form is:

$ax^2 + bx + c$

Equate both expressions

$ax^2 + bx + c = -x+5x^2+1$

Rewrite as:

$ax^2 + bx + c = 5x^2-x+1$

Compare the expressions on either sides

$a = 5\\\\b = -1\\\\c=1$

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Solve for all values of x in simplest form. 9-4|3+5x|=5

Zinaida [17]

Answer:

$x=-2/5\text{ or } x=-4/5$

Step-by-step explanation:

So we have the equation:

$9-4|3+5x|=5$

First, subtract 9 from both sides:

$-4|3+5x|=-4$

Divide both sides by -4:

$|3+5x|=1$

Definition of Absolute Value:

$3+5x=1\text{ or } 3+5x=-1$

Subtract 3 from both sides:

$5x=-2\text{ or } 5x=-4$

Divide both sides by 5:

$x=-2/5\text{ or } x=-4/5$

And we're done!

5 0

3 years ago

Read 2 more answers

Judd worked 40 hours this week. He worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

Mnenie [13.5K]

If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:

40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours

Judd worked 28 hours outside.

3 0

3 years ago

The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio

Fiesta28 [93]

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%