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4 years ago

5

Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simpl

ified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

2 answers:

Liula [17]4 years ago

6 0

Answer:

Here, the given expression,

$9 + 2 x - 18 x + 14 y - 10$

$= 2 x - 18 x + 14 y - 10 + 9$

$= (2 - 18 )x + 14 y+ (9 - 10)$

$= - 16x + 14 y - 1$

Thus, by the above explanation,

Equivalent and simplified fully = - 16x + 14y -1

Equivalent but not simplified fully = 1) 9 - 16x + 14y-10

2) 2x - 18x + 14y-1

Not equivalent = 1) 2x - 18x + 14 y - 19

2) - 2xy - 1

3) 16x + 14y - 1

Kay [80]4 years ago

3 0

The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

(2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent

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Using the ratio of perfect squares method, what is square root of 14 rounded to the nearest hundredth? Do not use your calculato

Svetlanka [38]

The square root of 14 rounded to the nearest hundredth without using the calculator can be done this way. Follow these steps:
<span>1. Guess
2. Divide
<span>3. Average
</span></span>
GUESS.
1. Make good guess. We'll just use 2

DIVIDE.
2. Divide 14 by our guess of 2 = 7.

AVERAGE.
3. Average 7 and 2: (7+2)/2 = 4.5

Here, we repeat step 2 using 7 as our new guess, 4.5
2. 14/4.5 = 3.1
3. (3.1 + 4.5)/2 = 3.8
<span>
2. 14/3.8 = 3.7
3. (3.7 + 3.3)/2 = 3.5

2. 14/3.5 = 4
3. (3.5 + 4)/2 = 3.75

2. 14/3.75 = 3.7
3. (3.75 + 3.7)/2 = 3.725

so on and so forth until the pattern remains in 3.7</span>

6 0

3 years ago

it takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes to solve 4 logic puzzles. use models to show the

7nadin3 [17]

Answer:

Maya ---> $6\ minutes/puzzle$

Amy ----> $7\ minutes/puzzle$

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

m ---> the number of minutes

p ---> the number of puzzles

In this problem, the relationship between the variables m and p represent a proportional variation

so

$m=kp$

Maya

it takes Maya 30 minutes to solve 5 logic puzzles

we have

m=30, p=5

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{30}{5}=6\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=6p$

Amy

it takes Maya 28 minutes to solve 4 logic puzzles

we have

m=28, p=4

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{28}{4}=7\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=7p$

8 0

3 years ago

A rectangular garden is 30ft wide. If it’s area is 1800ft^2 , what is the length of the garden?

Vinil7 [7]

Length is 60 feet as 60 x 30 is 1800.

6 0

4 years ago

Read 2 more answers

2x + 6y = -16 <br> -6x - 3y = -27<br> Find the Solution of the system of equation

jeka57 [31]

Answer: x=7, y=-5

Step-by-step explanation:

7 0

3 years ago

A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

<em> $d(t)$ is the displacement with respect to the mean position at any time $t$ </em>
<em> $A$ is amplitude </em>
<em> $w$ is the natural frequency of oscillation ( $rads^{-1}$ )</em>
<em> $c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )</em>

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

<em>⇒ $d(t)=8sin(\pi t+c)$ </em> ------1

since $d=0$ when $t=o$ ,

<em>⇒ $0=8sinc\\c=n\pi$ ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .</u>

<em>⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3</em>

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

<em></em>

7 0

3 years ago