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3 years ago

Using the complete the square method, rewrite f(x) = x^2 -6x + 2 in vertex form

1 answer:

4 0

F(x) = x^2 - 6x + 9 + (2 - 9) -6/2 = -3. square -3 = +9. add to the squaring portion and subtract it from f(x)

f(x) = (x-3)^2 -7

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the first group of students consists of 10 and their average age was 13 years old the next group consisted of 30 students and th

Kazeer [188]

Answer: The average was 9 years old find the average age of both groups is 10 years old.

Step-by-step explanation:

Formula foe average : $\text{Average} =\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

Given : The first group of students consists of 10 and their average age was 13 years old.

i.e. $13=\dfrac{\text{Sum of ages of students of first group}}{10}\\\\\Rightarrow\ \text{Sum of ages of students of first group}=13\times10=130$ (1)

The next group consisted of 30 students and their average was 9 years old.

i.e. $9=\dfrac{\text{Sum of ages of students of next group}}{30}\\\\\Rightarrow\ \text{Sum of ages of students of nextgroup}=9\times30=270$ (2)

Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400

Combined students of both groups (first and next group )= 10+30=40

Now , the average of both groups = $\dfrac{\text{Sum of combined students}}{\text{combined students}}$

$=\dfrac{400}{40}=10$

Hence, the average was 9 years old find the average age of both groups is 10 years old.

4 0

3 years ago

During the first half of a trivia game you scored 16 points, and during the second half you scored negative 8 points. How many p

pav-90 [236]

$You \: scored:16 - 8 = 8 \: points$

3 0

3 years ago

Read 2 more answers

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

DENIUS [597]

We have that the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is

$m=\infty$

From the question we are told

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

Where Standard form of Equation is

y=mx+c

Generally the equation for the Slope is mathematically given as

$m=\frac{y_2-y_1}{x_2-x_1}$

Therefore

$m=\frac{-7-1}{-6-(-6)}\\\\ m= \infty$

Therefore

The slope of this line is

$m=\infty$

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brainly.com/question/23366835

7 0

2 years ago

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

vazorg [7]

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .

To prove

Formula

$Percentage\ error = \frac{error\times 100}{exact}$

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters

Actual value = 45.5 meters

error = | 44.25 - 45.5 |

= |-1.25|

= 1.25

Put in the formula

$Percentage\ error = \frac{1.25\times 100}{45.5}$

$Percentage\ error = \frac{125}{45.5}$

Percentage error = 2.7%

Therefore the percentage error is 2.7% .

3 0

3 years ago

Calcula la longitud en YARDAS de

tatiyna

Answer:

Las longitudes solicitadas en yardas son:

Trayecto A = 109.361 yardas.
Trayecto B = 20.231785 yardas.

Step-by-step explanation:

Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:

1 metro = 1.09361 yardas

Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:

Si:

1 metro = 1.09361 yardas
100 metros = X

Entonces:

$x=\frac{100m *1.09361yardas}{1m}$

Cancelamos metros y obtenemos:

x = 100 * 1.09361 yardas
x = 109.361 yardas

En este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:

Si:

1 metro = 1.09361 yardas
18.50 metros = X

Entonces:

$x = \frac{18.50m*1.09361yardas}{1m}$

Cuando se cancelan los metros se obtiene:

x = 18.50 * 1.09361 yardas
x = 20.231785 yardas

Así, el trayecto B en yardas corresponde a 20.231785 yardas.

4 0

3 years ago