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3 years ago

Given the quadratic function : f(x)=x^24x-12 Find the vertex. Can you show the steps?!?

1 answer:

6 0

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)} \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)$

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Claudia tiene 3/6 de un

KengaRu [80]

En este problema simplemente tenemos que usar la suma de fracciones.

Veremos que entre ambos tienen un frasco entero de miel.

Sabemos que Clauida tiene 3/6 de un frasco de miel, y el hermano tiene 9/18 de un frasco de miel.

En total, entre ambos, tienen:

3/6 + 9/18

Para poder realizar esta suma tenemos que tener el mismo denominador en ambas fracciones, asi que podemos simplificar.

en 9/18 si dividimos numerador y denominador por 9 obtenemos:

9/18 = 1/2

en 3/6 si dividimos numerador y denominador por 3 obtenemos:

3/6 = 1/2

Así:

3/6 + 9/18 = 1/2 + 1/2 = 1

Entre ambos tienen un frasco entero de miel.

Sí quieres aprender más, puedes leer.

brainly.com/question/19527206

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2 years ago

At Haines Elementary, 30% of the 120 teachers were male. The following school year, several new teachers were hired. The number

zhannawk [14.2K]

First you create a proportion (30/100=x/120). After you solve this, next you subtract this answer from 120. Then create a proportion for 40% (40/100=x/120). Then add this number to the first answer you got when you subtracted the answer from your first proportion from 120.

6 0

3 years ago

Anyone can help me with this

Leokris [45]

Given:

The data values are

11, 12, 10, 7, 9, 18

To find:

The median, lowest value, greatest value, lower quartile, upper quartile, interquartile range.

Solution:

We have,

11, 12, 10, 7, 9, 18

Arrange the data values in ascending order.

7, 9, 10, 11, 12, 18

Divide the data in two equal parts.

(7, 9, 10), (11, 12, 18)

Divide each parenthesis in 2 equal parts.

(7), 9, (10), (11), 12, (18)

Now,

Median = $\dfrac{10+11}{2}$

= $\dfrac{21}{2}$

= $10.5$

Lowest value = 7

Greatest value = 18

Lower quartile = 9

Upper quartile = 12

Interquartile range (IQR) = Upper quartile - Lower quartile

= 12 - 9

= 3

Therefore, median is 10.5, lowest value is 7, greatest value is 18, lower quartile 9, upper quartile 12 and interquartile range is 3.

8 0

3 years ago

Jennifer had $24 to spend on five pens. After buying them she had $14. How much did each pen cost?

Strike441 [17]

Answer:

Each pen costed $5.

Step-by-step explanation:

Simple, the coefficient (5) is the cost for one of the pens & the x is the amount of pens bought.

Hope this helped & please give me the brainliest if it did!

4 0

2 years ago

Please answer fast!!!!!

BlackZzzverrR [31]

Answer:

x = 2

Step-by-step explanation:

note that 4096 = $8^{4}$ , then

$8^{2x}$ = $8^{4}$

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

6 0

3 years ago

Read 2 more answers