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3 years ago

Which point is the vertex of the quadratic function f(x)=x2−6x+8?

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

4 0

(3,-1)
It needs to be written in standard form before you try to solve it.

jarptica [38.1K]3 years ago

4 0

Another method!

Pvertex→(x,y)→(4,9)

Explanation:

Given: y=x2−8x+7

This is already in the form y=a(x2+ba)+c as a=1

So we can do this 'trick'

Applying x vertex=(−12)(ba)→(−12)(−8)=+4

To determine yvertex

Substitute for x=(−4) in the original equation giving:

yvertex=(4)2−8(4)+7

y vertex=+16−32+7=−9

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Three friends decided to exercise together four times a week to lose fatand increase muscle mass. While all three were healthier

gregori [183]

Answer:

6 pounds lost

Step-by-step explanation:

5+4 is 9 9-3 is 6 which means that in total, 6 pounds was lost

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2 years ago

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Alchen [17]

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

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2 years ago

Is 3/12 Rational or Irrational

valentinak56 [21]

Rational....because it can be written as a ratio

7 0

3 years ago

Read 2 more answers

The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10

Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

$N\sim Pois(0.2)$

$P(N=r)=\frac{e^{-np}(np)^r}{r!}$

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

$P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}$

$P(N=0)=\frac{e^{-0.2}}{1}$

$P(N=0)=e^{-0.2}$

$P(N=0)=0.8187$

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute $r\geq 2$ in formula,

$P(N\geq 2)=1-P(N$

$P(N\geq 2)=1-[P(N=0)+P(N=1)]$

$P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]$

$P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]$

$P(N\geq 2)=1-[0.8187+0.1637]$

$P(N\geq 2)=1-0.9825$

$P(N\geq 2)=0.0175$

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0

3 years ago

You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly s

Assoli18 [71]

Answer:

Step-by-step explanation:

Add each sample separately

A.17 B. 47 C. 39 D. 52 E. 45

Then you add them all together which totals 200 sick days

We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.

So we divide 200/50

And get a mean of 4.

So each student took an average of 4 sick days each in the country.

3 0

3 years ago