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jasenka [17]
3 years ago
5

jay,alana,evan,and stacey work together to complete a science experiment. the table at the right shows the amount of liquid left

in each of their beakers at the end of the experiment. (table. Jay: 0.8 Alana 1.05 Evan 1.2 Stacey 0.75). Question 1: whos beaker has the greatest amount of liquid left in it? A. Jay B Alana C.Evan D.Stacey Question 2: who's beaker has the least amount of liquid left in it? A. Jay B. Alana. C. Evan. D.Stacey
Mathematics
1 answer:
dem82 [27]3 years ago
6 0
Question one: Evan beaker has the most amount of liquid (C)
Question 2: Stacey's beaker has the least amount of liquid (D)

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2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
What are the similarities and differences in solving literal equations and solving numerical equations?
mario62 [17]

Answer:

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Step-by-step explanation:

hope this helps!

8 0
3 years ago
Read 2 more answers
A boogie board that has a regular price of $6. If the sales tax on the boogie board is 7%, what is the total cost of the board?
zavuch27 [327]

Answer:

6.42$

Step-by-step explanation:

6.00 divided by 100 equals 0.6 multiplied by 7 equals 0.42 so the sales tax is 0.42 cents and the total is 6.42$

7 0
3 years ago
Nicoli jokic plays for the Denver nuggets in one game, his field-goal total was 26 points made up of 2 point and 3 point baskets
mel-nik [20]

9514 1404 393

Answer:

  • 4 3-point baskets
  • 7 2-point baskets

Step-by-step explanation:

Let x represent the number of 2-point baskets Nicoli made. Then (x -3) is the number of 3-point baskets. The total number of points is ...

  2x +3(x -3) = 5x -9 = 26

  5x = 35 . . . . . . add 9

  x = 7 . . . . . . . divide by 5

  (x -3) = 4 . . . find the number of 3-point baskets

Jokic made 7 2-point baskets and 4 3-point baskets.

7 0
2 years ago
Fifteen years later, a man will be two times as old as he was 15 years ago. How old is he now?
Inga [223]

Answer:

Let the present age of the man be x years.

Age of the man 15 years ago =(x−15) years and

Age of the man 15 years later =(x+15) years

According to the given condition, we have

(x+15)=2(x−15)

⇒x+15=2x−30

⇒x−2x=−30−15

⇒−x=−45 or x=45 years

Hence, the present age of the man is 45 years.

Step-by-step explanation:

Hope it helps you..

Your welcome in advance..

(◍•ᴗ•◍)

6 0
3 years ago
Read 2 more answers
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