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3 years ago

Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

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Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% and 24% alloy must be mixed to for

Gala2k [10]

<span>copper +copper = copper
0.14x+0.24(100-x) = 0.20*100 = 20</span>

7 0

3 years ago

Find the derivative of f(x) = 2x^2 - 4x +3

ivolga24 [154]

Explanation

$2x^2-4x+3$

When taking derivatives of polynomials, we primarily make use of the power rule.

Power rule.

$\begin{gathered} f(x)=x^n \\ \text{then} \\ f^{\prime}(x)=nx^{n-1} \end{gathered}$

also, the derivate of a sum is the sum of the derivates

hence

$\begin{gathered} g(x)=f(x)+h(x)+\ldots z(x) \\ g^{\prime}(x)=f^{\prime}(x)+h^{\prime}(x)+\ldots.z^{\prime}(x) \end{gathered}$

Step 1

apply:

$\begin{gathered} f(x)=2x^2-4x+3 \\ f^{\prime}(x)=2\cdot2x^{2-1}-4(1)x^{1-1}+ \\ f^{\prime}(x)=4x^{}-4(1)x^0+3^0 \\ f^{\prime}(x)=4x^{}-4(1)(1) \\ f^{\prime}(x)=4z-4 \end{gathered}$

therefore, the answer is

8 0

1 year ago

Sylvia surveyed her classmates at school to find out who plays sports at her school.the table below shows the number of students

Neporo4naja [7]

Answer:

Using the info you just gave,

Basketball, 8 studentsfootball, 7 studentsSoccer 12 studentsother, 13 students

We can now figure out the percentage of students that did NOT select soccer.

First, you need to add all the students together.

8 + 7 + 12 + 13

You get 40 students all together.

Now, add together the students that DID NOT choose soccer.

7 + 8 + 13 = 29

That means that 28/40 of the students did not choose soccer.

Now, convert that to a percentage.

28/40 = 0.7

To make that into a percentage, multiply by 100

Thus, the percentage of students that did not select soccer is 70%.

Hope this helped!

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3 years ago

Plz help! The table shows the overnight low temperatures for a four-day period. The low temperature on Wednesday was between th

daser333 [38]

We have been given a table of overnight low temperature for a four-day period. We are supposed to give a possible temperature for Wednesday.

We are told that the low temperature on Wednesday was between the second and third highest temperature.

Let us place our given temperatures from least to greatest order.

Sunday (-11), Thursday (-8), Friday (7), Sunday (18)

We can see that second and third highest temperatures are -8 and 7 respectively.

Any number between -8 and 7 will be a possible temperature for Wednesday. 3 can be a possible temperature for Wednesday as 3 is between -8 and 7.

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3 years ago

Marna is playing a game where you score −5 points each time youguess the correct answer. The goal is to get the lowest score. To

pishuonlain [190]

She would need to score 16 correct answers, because 80/5 = 16.

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3 years ago