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Semmy [17]
3 years ago
12

What is the vertex of the graph of the function below? y = x2 + 8x + 12

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Hello, 

The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is:  \\  V=( -\frac{b}{2a},f(-\frac{b}{2a}) )

That means that we must first obtain x, then we replace x in the function to get y, so:

x=- \frac{b}{2a}  \\  \\ x=- \frac{8}{2*(1)}  \\  \\ \boxed{x=-4} \\  \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}

Answer: V=(-4 , -4)
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I also need work for understanding on these questions (I will mark as brainliest)
stich3 [128]

Answer:

<em>24000 and 1620 for the first and fifth </em>

Step-by-step explanation:

  • <em>24 x 25 x 40 = 24000</em>
  • <em>9 x 6 x 30 = 1620</em>

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  • <em>Hope this helps</em>
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7 0
3 years ago
A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child
baherus [9]

Answer:

System of linear equations

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

3a+1c=38

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

3a+2c=52

If we write this as a system of equations, we have:

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

4 0
2 years ago
What value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?
aev [14]

Answer:

x= -56..................

7 0
2 years ago
Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

D_3=\$3.34\times1.06=\$3.54

Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

3 0
3 years ago
Draw a model to represent the problem
Mazyrski [523]
2 because if you convert the fractions into decimals then divide it that way it will be 2
6 0
3 years ago
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