MATHEMATICS COLLEGE

Solve
9x2-5x = 94x-8

Answers

Answer 1
Answer:

Answer:

x=26262626262626...

Step-by-step explanation:

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Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 − 14x + 1

Answers

Answer:

  • maximum: 50

Step-by-step explanation:

The negative coefficient of x^2 tells you the parabola opens downward. (Any even-degree polynomial with a negative leading coefficient will open downward.)

Going through the steps for completing the square, we ...

1. Factor out the leading coefficient from the x-terms

  -1(x^2 +14x) +1

2. Add the square of half the x-coefficient inside parentheses, subtract the same amount outside parentheses.

  -1(x^2 +14x +49) -(-1·49) +1

3. Simplify, expressing the content of parentheses as a square.

  -(x +7)^2 +50

4. Compare to the vertex form to find the vertex. For vertex (h, k), the form is

  a(x -h)^2 +k

so your vertex is ...

  (h, k) = (-7, 50) . . . . . . . . . a = -1 < 0, so the curve opens downward. The vertex is a maximum.

The maximum value of the expression is 50.

A microwave is placed on top of a stand. The stand is 2 feet 10 inches tall, and the microwave is 3 feet 3 inches tall. Together, how tall are they?Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Answer:

6 feet 1 inch tall

Step-by-step explanation:

10 inch + 3 inch is 13 inch which is equal to 1 foot 1 inch

2 feet + 3 feet is 5 feet and if we add 5 feet to 1 foot and 1 inch, it will be equal to 6 feet 1 inch.

Solve for x: 3x − 24 = 81
57/3
105/3
57
105

Answers

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.


3x - 24 = 81

3x -24 + 24 = 81 +24

3x = 81 + 24

3x = 105

3x/3 = 105 / 3

x = 105 / 3

Answer:

x=(105)/(3)

Step-by-step explanation:

To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.

3x-24=81

3x-24+24=81+24

3x=81+24

3x=105

(3x)/(3)=(105)/(3)

Therefore, the answer is:x=(105)/(3)

There are 200 students in the grade. 45% of the student are taking a music class. How many students are taking music class.Please help me.

Answers

Answer:

Step-by-step explanation:

You need only take 45% of 200

Music = 45/100 * 200

Music = 9000/100

Music = 90

So of a grade of 200, there are 90 who take music.

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN AND has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15 because its 8 odd numbers out of 15 numbers all together

Jane Hilman went to her bank. She had a balance of $1,009.88 in her savings account. She withdrew $130.00 and the teller credited her account with $6.19. What is her new balance?

Answers

Her new balance is 886.07 dollars hope this helps
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