Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step and justify your reasoning. Morgan: 7x+5x+1=73 12x+1=73 Dakota: 7x+5x+1=73 7x+6x=73 Taylor: 7x+5x+1=73 7x+5x=72

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;

7x+5x+1=73

take the sum of 7x and 5x

12x+ 1 = 73

subtract 1 from both sides

12x+1-1 = 73-1

12x = 72

Divide both sides by 12

12x/12 = 72/12

x = 6

Based on the calculation above, the students with invalid first step is Dakota.

Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.

Answer 2

Answer:

As you can see, Taylor failed to add 1 to her equation. This ruins the whole first step. She also used 72 instead of 73 for the answer. Taylor is incorrect.


Related Questions

I dont understand it :/​

Answers

Step-by-step explanation:

It's telling you to plug in the numbers inside the parenthesis as x

Example: F(-1)= 2(-1)^3 -3(-1)^2 +7

5x + 3y, when x = 4, and y=-3​

Answers

Answer:

5x+3y, when x=4 and y= -3

5(4)+3(-3)=

20+ (-9)=

11

Step-by-step explanation:

Hope this helps. :)

Answer:

5x + 3y = 11

Step-by-step explanation:

x = 4 y = -3

=5x + 3y

=5(4) +3(-3)

=20 + (-9)

=11

When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.

(it might be wrong because I haven't done algebra in a long time)

what is the range of the function below in set builder notation? y=|x-3|

Answers

Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

Help needed ASAP will give BRAINLIEST not a real test

Answers

Answer:

I believe the answer is $1702.50.

Step-by-step explanation:

If you multiply 1500 by 4.5% (0.045 as a decimal) you will get 67.5 which is $67.5 interest for one year. For three years, you have too multiply 67.5 by 3 and you get $202.5. Finally, you add the total interest to the starting amount, $1500, which results in $1702.50.

Which triangle is similar to PQR?

Answers

Answer:

-A

Step-by-step explanation:

A has all lengths exactly half

How long does it take an airplane to fly 4000 m if it maintains a speed of 200 meters per second?​

Answers

it should take the airplane 20 seconds! 4000 divided by 200 = 20.

Answer:

20 seconds.

Step-by-step explanation:

Divide 4000 by 200.

Is the following relation a function?
X y
1-2
1-3
2 1
13-2
Yes
NO

Answers

Answer:

no, one is repeated which is not possible.

Step-by-step explanation:

Step-by-step explanation:

No. More than 1 element in the domain (1 and 3) have the same image in the co-domain. (-2)

A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 5 feet long. What is the height of the pole?

Answers

Answer: i think the answer to your problem would be 14

Step-by-step explanation: sorry if i'm wrong!

6-5=1

15-1=14


What is m 50
65
140
155

Answers

Answer:

65 degrees.

Step-by-step explanation:

Since angle JLG is 115 degrees, andgle JLH must be 65 because the two angles are supplementary, which means they add up to 180 degrees.

A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M. When a concert is supposed to begin?

Answers

12:00 to 1:30 , that is 90 minutes
if 35 people enter each minute then it should be multiplied by the number of minutes
that being said, 90 x 35 = 3,150 people are in the stadium at 1:30

does the point 2,4 lie on the line y=5x-6?

Answers

Answer:

substitute value of x and y as 2 and 4

y=5x-6

4= 5*2-6

4=4 so yes

Step-by-step explanation:

The point (2, 4) lie on the line y = 5x-6

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, we need to check whether the point 2,4 lie on the line y=5x-6 or not,

So, the verification of the same, we will simply put the value of x (2) in the equation and see whether we are getting 4 or not, if not then points do not lie on the line, if yes, the point lies on the line.

So, the equation is

y = 5x-6

Put x = 2,

y = 5(2) - 6

y = 10-6

y = 4

Since, we get the value of y = 4, therefore, the point lies on the line.

Hence, the point (2, 4) lie on the line y = 5x-6

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Consider the equation 5y=2x+4. Select all the equations that are perpendicular to the given equation.

Answer options in the picture above ^
|

Answers

Answer: 5x + 2y = 10, 15x = -6y - 9

Step-by-step explanation: good luck on your algebra Nation test

BC = 6x + 6,
AB = 8 +9, and
AC = 141.
Find BC

Answers

Answer: 60

Step-by-step explanation:

Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.

8x+9+6x+6=141                  [combine like terms]

14x+15=141                          [subtract both sides by 15]

14x=126                               [divide both sides by 14]

x=9

Now that we have found the value of x, we can plug that into BC.

6(9)+6                                 [multiply]

54+6                                   [add]

60

Now, we know the length of BC is 60.

Answer:

60

Step-by-step explanation:

I have a question...is water wet?

Answers

yes, it literally can’t be dry

there is a theory that says since we think it's wet that it gives the feeling so try thinking dryness when u feel water on your skin to see if water I'd actually wet

The area of a square is given by the expression s • s square inches. Where s is the length of a side in inches. Write the expression as a power. Then find the are of square of a with a side length of 7 inches.

Answers

Answer:

see explanation

Step-by-step explanation:

A = s × s = s²

Given s = 7 , then

A = 7² = 49 in²

Rearranging Equations: Solve the equation for y: 8x + y = 14 Solve the equation for x: -9x + 3y = 18

Answers

Answer:

y=14-8x

x= -2 + 3y/9x

Step-by-step explanation:

8x+y=14

isolate y so you get:

y=14-8x

-9x+3y=18

isolate x so you get:

-9x=18-3y

divide on both sides to get x by itself

-9x/-9x  18-3y/-9x

x= -2 + 3y/9x

Hope this helps :)

1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:

[tex]8\frac{1}{3}*30=250[/tex]

So [tex]x=250[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

The answer would be about 250 pounds. So x=250 pounds

-5x - 12 + 8x - 8
Your answer

Answers

Answer:

(3x)-20

Step-by-step explanation:

Answer:

3x-20

Step-by-step explanation:

You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20

What is the slope the line that passes through the points:
(-6, 14), (2, -18)

Answers

Hey there! I'm happy to help!

Here's how to find the slope given any two points.

Subtract the y values.

14-(-18+-14+18=32

Subtract the x values.

-6-2=-8

And divide those.

32/-8=-4

The slope is -4.

Have a wonderful day! :D

Brad's checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?

Answers

Answer:

$6.6

Step-by-step explanation:

Let's find out what his balance is after those transactions.

Initial balance: 126.50

After bill:

126.50 - 87.21 = 39.29

After breakfast:

39.29 - 5.64 = 33.65

After deposit (we're adding money now!):

33.65 + 15 = 48.65

After 2nd bill:

48.65 - 55.25 = -6.6

We find that his balance is negative $6.6. Thus, to get to $0, he needs to deposit an additional $6.6.

Answer: $6.6

PLS HELP WITH THESE 2 QUESTIONS! I WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer: it is 12 and 4.50

Step-by-step explanation:

Answer:

Hello hope your having a good day

Step-by-step explanation:

12 and 4.50

Which expression is equivalent to 3^8

Answers

Answer:

3x3x3x3x3x3x3x3

Step-by-step explanation:

Or three eight times :)

what is f(7) for the rule of f(x)=-5x+10​

Answers

Answer:

f(7) = - 25

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = - 5(7) + 10 = - 35 + 10 = - 25

a rectangular piece of metal is 15in longer then it is wide. squares with sides 3in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 1092in cubed what were the original dimensions of the piece of metal?

Answers

Step-by-step explanation:

Let x equal the width of the box and x + 15 equal the length of the box.  Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6).  These are the length and width of the box respectively.  We also know that the height of the box is 3.  Plugging these into the formula for the volume of a box gives you:

3(x+9)(x-6)=1092

Expanding this out gives:

3x^2+9x-162=1092

Subtract 1092 from both sides to make the quadratic equation equal zero.  Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.

3x^2 +9x-1254 = 0

a = 3       b = 9        c = -1254

I hope this helps :)

Please help me I am confused- qwq​

Answers

$162.50 because if you add the percentages together, you get 35%

If you subtract 35% off of 250, you get 162.50

Can I get all the right answers only

Answers

Answer:

yes, you can get all right answers.

Answer:

yes i believe that you can get all the answers right

Step-by-step explanation:

Cell Phone Plus and Phones R Us offer special prices for new customers. Each cell phone company’s advertisement is shown below.

Cell Phone Plus

Phones R Us

$50 Activation Fee

$15 per month

$60 Activation Fee

$10 per month



For what number of months, x, would the cost be the same?

Answers

2 months, 50+15x =60+10x when x=2

Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)

Answers

Answer:

x^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-0)^2 + (y+1)^2 = 4^2

x^2 + (y+1)^2 = 16

The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).

Here

The equation of the circle is given by

(x - h)² + (y - k)² = r² - - - - (1)

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²

Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

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Explain what is the difference between (-6) to the power of 2 and -6 to the power of 2.

Answers

Answer:

Step-by-step explanation:

(-6)² = -6*-6

(-6)² = 36

-(6)² = -(6*6)

-(6)² = -36

The sign is affected by potency

Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2). What is the scale factor of the dilation?

A.) 12

B.) 8

C.) 3

D.) 1/3​

Answers

Answer: The Answer is C

I just took the test

Step-by-step explanation:

The scale factor of the dilation is 3. The correct option is C.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

From the given image:-

The initial size in the image is calculated as 11 - 2 = 9

The dilated size in the image is calculated as 5 - 2 = 3

The scale factor will be given as:-

Scale factor  = ratio of the initial size to the dilated size

Scale factor  = Initial size / Dilated size

Scale factor = 9 / 3 = 3

Therefore, the scale factor of the dilation is 3. The correct option is C.

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