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Pani-rosa [81]
3 years ago
9

What equation results from completing the square and then factoring? x^2+24x=33

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Its C but the way I got is too small so I cant really give explanation

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30 POINTS NEED HELP
KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

5 0
3 years ago
Pls!!!!!!!!!!!!!!!!!!!!​
lesya692 [45]

Answer:

C

Step-by-step explanation:

The table shows a linear function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table

m = \frac{7-3}{2-1} = 4, thus

y = 4x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 → C

3 0
3 years ago
Which ones greater 8 inches or 8 feet
Gre4nikov [31]

Answer:

8 feet

12 inches equals 1 foot, so 8 inches is a lot smaller than 8 feet.

4 0
2 years ago
Read 2 more answers
(will give brainliest!!)
Alex73 [517]
Hey there!

To figure out what "x" means, you can divide the numbers 126 and 14  . . .

126 divided by 14 = 9

9 x 14 = 126

9 = x

----------------
x = 9
----------------

Hope this helps you.
Have a great day!
4 0
3 years ago
Read 2 more answers
Solution set for (6y+4)-(3+5y)=9
loris [4]
Y = 8 hoped it helped!
4 0
3 years ago
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