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Hitman42 [59]
2 years ago
5

6x^2-66x+144=0 solving quadratic equation

Mathematics
1 answer:
madam [21]2 years ago
6 0

Factor out the common term 6

6(x^2 - 11x + 24) = 0

Factor x^2 - 11x + 24

6(x - 8)(x - 3) = 0

Solve for x;

<u>x = 8,3</u>

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COOKING Franklin is cooking a 3-pound turkey breast for 6 people. If the number of pounds of turkey varies directly with the num
Gwar [14]

<u>Answer-</u>

2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.

<u>Solution-</u>

Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.  

Taking,

x = number of people,

y = pounds of turkey.

This condition can be represented as,

\Rightarrow y\ \alpha \ x\\\Rightarrow y=kx

As given in the question, when x = 6 y = 3

\Rightarrow 3=k\times 6

\Rightarrow k=\frac{3}{6}= \frac{1}{2}

Now, putting the values of k in the equation, the equation becomes

\Rightarrow y=\frac{1}{2}x

Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.

All the calculations are shown in the attached table.


5 0
3 years ago
The sum of scores of ella and Kath in the summative test is not greater than 50. supposed Ella's score is 22 points, what could
Firlakuza [10]

We want to see which could be the possible score of Kath for the given information. We will find the inequality:

K ≤ 33

<h3>Stating what we know:</h3>

The given information is:

  • The sum of the scores is not greater than 55 points
  • Ella's score is 22 points.

<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

K + 22 ≤ 55

This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

K ≤ 33

From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

7 0
2 years ago
Which is the opposite side to the reference angle C?* ​
geniusboy [140]

Answer:

Side AB

Explanation:

The opposite side is the side that is not touching the reference angle.

3 0
2 years ago
Using PYTHAGORAS THEOREM answer the question A vertical pillar ab bent at c at a height of 2.4m and its upper end b touches the
Alisiya [41]

Answer:

  5.4 m

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the various lengths is ...

  cd² = ac² +ad²

  cd² = (2.4 m)² + (1.8 m)² = 9.00 m²

  cd = √(9.00 m²) = 3.0 m

Since cd = cb and ab = ac+cb, we have ...

  ab = 2.4 m + 3.0 m = 5.4 m

_____

You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...

  0.6·(4+5) = 5.4

7 0
3 years ago
A teacher surveyed her class to find out how many texts the students send in a week. She created this box plot to show the data.
Marta_Voda [28]
Answer: 130
Explanation:
7 0
3 years ago
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