Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic, x2 – 7x – 1, to complete the problem. Step I: y = 2x + 1 Step II: x2 – 5x – (2x + 1) = –7 Step III: x2 – 5x – 2x – 1 = –7 Step IV: x2 – 7x – 1 = –7 Determine the step in which Tommy made his mistake and justify your reasoning.

Answers

Answer 1

Answer:

Step IV; Tommy must set the quadratic expression equal to 0 before factoring.

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Answer 2

It is found that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the system of a linear equation and a quadratic equation.

2x – y = –1

x² – 5x – y = –7

Now Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic equation as;

x²  – 7x – 1,

Step I: y = 2x + 1

Step II: x²  – 5x – (2x + 1) = –7

Step III: x²  – 5x – 2x – 1 = –7

Step IV: x²  – 7x – 1 = –7

Therefore, we conclude that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

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Related Questions

Help pls for a grade

For a biology assignment, Melanie records the height of a plant over time.
The plant was 14 cm tall when she started the assignment. She notices that
the plant grows 7 cm every week.

Answers

Answer:

B (2,28)

Step-by-step explanation:

(9x +10) (15x-2) solve for x

Answers

Answer:

x=2

Step-by-step explanation:

15x-9x = 6x

10+2 = 12

6x=12

x=2

Answer: x=2

Step-by-step explanation:

9x+10 = 15x-2

-9x         -9x

____________

10 = 6x-2

+2        +2

__________

12=6x

Divide

x=2

Which has a value closest to 9?
63
110
99
183

Answers

Answer:

64

Step-by-step explanation

Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?

Answers

Answer:

350 milliliters

Step-by-step explanation:

70% of 500 is 350

Help PLEASE PICTURE BELOW!!

Answers

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation:

What is the volume of a cylinder, in cubic ft, with a height of 9ft and a base diameter
of 16ft? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder is: Volume=1808.64 ft³

Step-by-step explanation:

Height of cylinder = 9 ft

Base diameter of cylinder = 16 ft

We need to find volume of cylinder .

The formula used is: [tex]Volume=\pi r^2h[/tex]

We need radius:

The radius = diameter/2 = 16/2 = 8 ft

Putting values and finding volume of cylinder

[tex]Volume=\pi r^2h[/tex]

[tex]Volume=3.14\times (8)^2\times (9) \\Volume=3.14\times 64\times (9) \\Volume=1808.64 \: ft^3[/tex]

So, Volume of cylinder is: Volume=1808.64 ft³

David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?

Answers

Answer:

David gets £34, Egil gets £119 and Frances gets £153.

Step-by-step explanation:

Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.

7x = 2x + 85

7x - 2x = 85

5x = 85

x = 85 ÷ 5

x = 17

David (2x) = 2 × £17

                 = £34

Egil (7x) = 7 × £17

             = £119

Frances (9x) = 9 × £17

                     = £153

-3 < x -10 Solve for X and simplify please

Answers

Hey there!

“-3 < x - 10”

SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!

-3 = x - 10

Flip the equation around

x - 10 = -3

ADD both of your sides by 10

Like: x - 10 + 10 = -3 + 10

CANCEL out: -10 + 10 because it gives us 0

Keep: -3 + 10 because it gives us the value of x

-3 + 10 = x

Solve that above and you have your answer: x = 7 ☑️

Overall answer: x < 7

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

suppose sin(x) = -3/5 and cos(x) < 0. what is the value of cos (2x)?​

Answers

Answer:

7/25

Step-by-step explanation:

Answer is C

You have a rock with a volume of 15 cm3 and a mass of 45 g. What's its density?

Answers

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Given:

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Formula:

Density = Mass / Volume

Explanation:

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Answer:

Density of the rock is 3 gram/cubic centimeter.

A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.

Answers

Answer:

Price demand function

Step-by-step explanation:

The price demand function is the function in which there is a relationship between the demand and the price of the product

The Price demand function is

[tex]= Price \times demand[/tex]

[tex]= p \times x[/tex]

hence, the price demand function represents that there is a relationship that lies between the demand and the price

Best and Correct answer gets BRAINLIEST!!!

Answers

Answer:

3/2

Step-by-step explanation:

K = Y/X

who can do it? Try to solve it if u can

Answers

Answer:

The other girls answer was correct

for the top boxes from left to right...

3.5 plus 4.5

bottom boxes

9.5 minus 3.5

Step-by-step explanation:

Please help me solve this problem

Answers

Answer:

Answer is D.

Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.

Hope this helped. I'm really tired rn so sorry if this wasn't the best.

Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?

Answers

55.25. You multiply 0.40 by 85 and you’ll get 34, subtract 85 by 34 and you’ll get 51. Then you multiply 0.05 by 85 and get 4.25. Add 4.25 by 51 and you’ll get 55.25.

10 times as much as 72.67

Answers

Answer:

726.7 hope this helps

Solve each equation mentally. a. 5/2 x ? = 1

Answers

Answer:

1 is the answer why because its multiply both side 1

Carla has a bookcase with 4 shelves.she puts 6 bears in a row on each shelf. How many bears does she have? Draw a picture and write an equation to solve

Answers

How does a bear fit on a shelf?

86.04005 is written in words as

Answers

Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

the place value answer is a little confusing but its correct i believe

PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!

Answers

Answer:

a: 1/7 +2/7

b:1/7 +1/7+1/7

Which best describes the dimensions of a line?

A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.

Answers

Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

Learn more aboput the line segment visit:

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asap
pleeaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Your answer is 89760!!!

hope this helps!!!

Answer:

89760

Step-by-step explanation:

17*5280=89760

Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *

Answers

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer: 36-1x. Explanation: he is obese

Wendy purchased 9 pizzas for x dollars. She spent a total of
$85.50. Which equation expresses how much Wendy spent on pizza? *

Answers

Answer:

x = $9.50

Step-by-step explanation:

85.50 / 9 = 9.5 sooo..

hope this helped!

I will give brainliest!!!!!

Answers

Answer:

False

Step-by-step explanation:

This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.

Hope this helps!


A drone costs $300 plus $25 for each set of extra propellers. What is the cost of a drone and 4 extra sets of
propellers? (a) Write a function that will showthe cost.
300 + 4(25) = 400
(b) What is the independent variable in this situation?
are

Answers

a) 300+25x or 300+25(4)=400
b) 300 would be the unchanged or control variable, 25x would be the independent variable and 400 would be the dependent variable.

50 points i really need help

Answers

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

Best and Correct answer gets BRAINLIEST!!!!!

Answers

A is the answer!! Hope it helps

I NEED HELP ( please dont steal or guess means not to me) and I will giver brainiest if you have proof

Answers

Answer:

option d, 7.25

Step-by-step explanation:

2AB=YZ(By parallel line theorem)

4x-8=21

4x=29

x=29/4=7.25

Solve the following 3/4+2/8

Answers

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

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