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4 years ago

Find two numbers whose difference is 10 and whose product is a minimum

Mathematics

1 answer:

Mnenie [13.5K]4 years ago

3 0

20 to 30 and this is to make it 20 characters long :3

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Jodi poured herself a cold soda that had an initial temperature of 40degreesF and immediately went outside to sunbathe where the

kozerog [31]

Answer:

58.75 degreeF

Step-by-step explanation:

The initial temperature of the Soda = 40degreeF

The temperature outside is steady at 99 degreeF

The temperature of the soda became 50 degreeF after 8 minutes

In 8 minutes, the Soda gained

(50 - 40)degreeF

= 10 degreeF

If the soda gains 10 degreeF in 8 minutes, in 1 minute, it will gain 10/8degreeF

Therefore in 7 minutes, the soda will gain (10/8)*7

= 70/8

= 8.75 degreeF

The expected temperature of soda after an additional 7 minutes = 50 + 8.75

= 58.75degreeF

5 0

3 years ago

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

2 years ago

Questions 1 and 2 pleaseeee!!

san4es73 [151]

Answer:

1. A

2. A

Step-by-step explanation:

7 / 27 1/2 = 14/55

Trail Mix A = $8 / lb

Trail Mix B = $8.50 / lb

Trail Mix C = $9 / lb

6 0

3 years ago

You put 60% of your paycheck into your savings account. Your payback is 235$. How much money do you put in your saving account?

lidiya [134]

You would put 141 dollars into your paycheck. I took the long way and found ten percent of 235 which is 23.5 and then multiplied that six times Hope that helped!

7 0

3 years ago

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Which is the ratio of the number of months that begin with the letter N to the total number of months in a year?

Contact [7]

Since november is the only month that begins with n the ratio would be 1 to 12 or 1/12

3 0

4 years ago

Read 2 more answers