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2 years ago

Given f(x) = x2 − 4x + 5, find each value. a. f(2) b. f(−6)

Mathematics

1 answer:

Oksana_A [137]2 years ago

7 0

Answer:

This problem requires you to plug in the values to get an answer.

f(2)=1

f(-6)= 65

Step-by-step explanation:

You need to plug in each value in the equation.

$f(2) = 2^{2} - 4(2) + 5$

$f(2) = 4 - 8 + 5$

$f(2) = - 4 + 5$

$f(2) = 1$

For f(-6):

$f( - 6) = ( - 6)^{2} - 4( - 6) + 5$

$f( - 6) = 36 + 24 + 5$

$f( - 6) = 65$

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There are 144 children performing in 3 school bands each band has the same number of children how many children are performing i

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Answer:

48 children performing.

Step-by-step explanation:

Well all you do is divide 144 by 3 and you will get the answer of 48.

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2 years ago

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SOMEONE HELP QUESTION 1 PLZZZZO

leva [86]

Answer:

A) 370

Explanation:

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2 years ago

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents,

RoseWind [281]

Answer:

The statement that "the margin of error was given as $\pm5$ percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval $\hat{p} \pm 0.05$ ; where $\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05$ is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

$z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$z_{\alpha /2}$ is the critical value that corresponds to the confidence level; the confidence level being $1-\alpha$ ,

$\hat{p}$ is the sample's proportion of successes,

$n$ is the size of the sample.

In this exercise we have that $\hat{p}=0.14$ and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

$\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)$

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

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2 years ago

a (1,4) b (-1,2) c (5,-2) are the vertices of triangle abc find the sum of coordinates of the point where the right bisector of

zmey [24]

Answer:

Step-by-step explanation:

Find the midpoint of BC:

midpoint = (-1+5)/2, (2-2)/2 = (2, 0).

The slope of BC = (2 - -2) / (-1-5) = -2/3.

Find the equation of the right bisector of BC:

The slope = -1 / -2/3 = 3/2.

y-y1 = m(x-x1)

y - 0 = 3/2(x - 2)

y = 3/2x - 3.

Now find the equation of the median through C:

The midpoint of AB = (1 - 1)/2, (4+2)/2

= (0, 3).

The equation of the median:

The slope = (-2-3) / (5-0)

= -1.

The equation is:

y - 3 = -1(x - 0)

y -3 = -x.

Now we find the point of intersection by solving the 2 equations:

y - 3 = -x

y = 3/2x - 3

y = -x + 3

So:

3/2x - 3 = -x + 3

3/2x + x = 6

5/2 x = 6

x = 12/5.

y = -12/5 + 3

= -12/5 + 15/5

= 3/5.

The sum of the coordinates = 12/5 + 3 /5

= 15/5

= 3.

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3 years ago

The equation of a parabola is shown.

WARRIOR [948]

The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)

5 0

2 years ago