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3 years ago

Solve for x 3x/6 + 1 = 7

Mathematics

2 answers:

katrin [286]3 years ago

6 0

I got my answer as x=12

ASHA 777 [7]3 years ago

3 0

Subtract one from each side and then multiply -6 to each side and then divide by 3 and the answer is x=-12

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Write the quadratic function in the form g(x)=a (x-h)2 +kThen, give the vertex of its graph. G(x) =2x2 +20x+49Writing in the for

Snezhnost [94]

The quadratic function given to us is:

$g(x)=2x^2+20x+49$

We are asked to find the vertex form of the function.

The general formula for the vertex form of a quadratic equation is:

$\begin{gathered} g(x)=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}$

In order to write the function in its vertex form, we need to perform a couple of operations on the function.

1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Now, let us solve.

1. Add and subtract the square of the half of the coefficient of x to the function.

$\begin{gathered} g(x)=2x^2+20x+49=2(x^2+10x+\frac{49}{2}) \\ \text{half of coefficient of x:} \\ \frac{10}{2}=5 \\ \text{square of the half of the coefficient of x:} \\ 5^2=25 \\ \\ \therefore g(x)=2(x^2+10x+25-25+\frac{49}{2}) \end{gathered}$

2. Factor out the function with its repeated roots and re-write the equation.

$\begin{gathered} g(x)=2(x^2+10x+25)-2(25+\frac{49}{2}) \\ re-\text{write the above function} \\ g(x)=2(x^2+10x+25)-1 \\ \text{Let us factorize this:} \\ g(x)=2(x+5)^2-1 \end{gathered}$

Therefore, we can conclude that the Equation and vertex of the equation is:

$\begin{gathered} Equation\colon g(x)=2(x+5)^2-1 \\ \\ Vertex\colon(-5,-1) \end{gathered}$

5 0

1 year ago

Find the surface area of the figure?

lina2011 [118]

Answer:

30 cm

Step-by-step explanation:

The Height is 6 and Width is 5

Area = H x W so:

6 x 5 = 30 or surface area

6 0

3 years ago

Three friends start a business and decide to split the profits equally. Susan invests $6,000, John invests $4,000, and Pria inve

Inga [223]

Susan investment = $6000

John investement = $4000

Pria investment = $12000

investment proportion of Susan, John and Pria = 6:4:12= 3:2:6

Hence, Pria share in profit = (6/11)*$12000

= $ 6,545.454

7 0

2 years ago

Read 2 more answers

6. The table shows the number of manatee deaths caused by watercraft in Florida each year

erik [133]

Answer: quadratic model, 0.866

Step-by-step explanation:

8 0

3 years ago

Sheila has 11

SSSSS [86.1K]

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

5 0

3 years ago