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3 years ago

Use the quadratic formula to solve x^2-4x+3. Show your work. Then describe the solution

1 answer:

4 0

Quadratic formula is x=(-b+-sqrt(b^2-4ac))/(2a)

a= 1, b=-4, and c=3

Therefore, x=(-(-4)+-sqrt((-4)^2-4(1)(3))/(2(1))

Solve for both the plus and minus equations; the answers will be the roots to the quadratic equation.

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Find the slope of DE and FG

Pavlova-9 [17]

Answer:

Part 1) The slope of DE is $m=\frac{c}{a+b}$

Part 2) The slope of FG is $m=\frac{c}{a+b}$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of DE

we have

D(-a-b,c) and E(0,2c)

substitute in the formula

$m=\frac{2c-c}{0-(-a-b)}$

$m=\frac{c}{a+b}$

step 2

Find the slope of FG

we have

F(a+b,c) and G(0,0)

substitute in the formula

$m=\frac{0-c}{0-(a+b)}$

$m=\frac{-c}{-(a+b)}$

Simplify the sign minus

$m=\frac{c}{a+b}$

Note The slope of DE is equal to the slope of FG. therefore DE and FG are parallel

7 0

3 years ago

What is 9 1/6 - 3 2/9?

Serga [27]

5 $\frac{17}{18}$

5 0

3 years ago

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Pick correct graph from multiple choice options. A.B.C.D

Bezzdna [24]

Answer:

The answer would be C.

Step-by-step explanation:

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3 years ago

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The perimeters of the square and the regular pentagon are equal.

Mashutka [201]

Answer:

the answer is 60 not 42 goodluck

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3 years ago

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$

Now we have everything in order to replace into formula (1):

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

4 0

3 years ago