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3 years ago

Can you please help me with this problem?

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Here you have to find which each variable is, for this you start of picking one equation,

x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16

depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4

With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4

= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,

-4x -7z = -8
4x + 2z = 16

= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)

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After 8 weeks on a fitness program, mrs.Honaker can job 30 miles. Her average mileage gain has been 2 miles per week. Write an e

blondinia [14]

Answer:

y = 2x + 14

Step-by-step explanation:

Equation in slope intercept form:

y = mx + c

From the scenario above ;

y = total miles = 30

Average mile gain per week = slope (m) = 2

Number of weeks (x) = 8

We can obtain intercept, c :

30 = 2(8) + c

30 = 16 + c

30 - 16 = c

14 = c

Hence,

Equation goes thus ;

y = 2x + 14

6 0

3 years ago

Help me with these please and thank you

Gelneren [198K]

Answer:

top one is 48 cm, bottom one is 17.5in.

Step-by-step explanation:

From what I understand, these shapes are increasing in size, so they will increase at a certain number. Our top one is rotated, but the 12cm is equivalent to the 3cm from the previous rectangle, thus making it greater by 4 times. To find x, we multiply 12cm by 4 to get 48cm. Same concept for the shapes on the bottom. Our 56in is equivalent to 8in, making it 7 times larger. Now, we multiply 2.5 by 7 to get 17.5in.

3 0

3 years ago

Joseph and Dwayne are both selling cookie dough for a fundraiser. Although Joseph has already sold 3 tubs, Dwayne hasn't sold an

ArbitrLikvidat [17]

Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27

Step-by-step explanation:

Let x represent the number of days it will take either of them to sell the same number of tubs.

Let y represent the total number of tubs that that Joseph will sell in x days.

Let z represent the total number of tubs that that Dwayne will sell in x days.

Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be

y = 8x + 3

Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be

z = 9x

To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes

8x + 3 = 9x

9x - 8x = 3

x = 3

The number of tubs that each will sell will be 9x = 9×3 = 27

3 0

4 years ago

Triangle ABC has coordinates A(1,-1), B(0,2), and C(2,1) and it is reflected over the line y = x to form triangle A'B'C'. What a

liberstina [14]

Answer:

The coordinates of triangle A'B'C' are A' (-1 , 1) , B' (2 , 0) , C' (1 , 2)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

* Lets solve the problem

- ABC is a triangle, where A = (1 , -1) , B = (0 , 2) , C = (2 , 1)

- The Δ ABC reflected over the line y = x to form ΔA'B'C'

∵ The image of the point (x , y) after reflected across the line y = x

is (y , x)

∴ We will switch the coordinates of each point in Δ ABC to find the

coordinates of Δ A'B'C'

# Vertex A

∵ A = (1 , -1) ⇒ x = 1 , y = -1

∴ The x-coordinate of the image is -1

∴ The y-coordinate of the image is 1

∴ A' = (-1 , 1)

# Vertex B

∵ B = (0 , 2) ⇒ x = 0 , y = 2

∴ The x-coordinate of the image is 2

∴ The y-coordinate of the image is 0

∴ B' = (2 , 0)

# vertex C

∵ C = (2 , 1) ⇒ x = 2 , y = 1

∴ The x-coordinate of the image is 1

∴ The y-coordinate of the image is 2

∴ C' = (1 , 2)

* The coordinates of triangle A'B'C' are A' (-1 , 1) , B' (2 , 0) , C' (1 , 2)

8 0

4 years ago

Which is better: having a stock that goes up 30% on Wednesday than drops 20% on Thursday, or a stock

finlep [7]

Step-by-step explanation:

If the stock goes up 30%, it's multiplied by $1.3$ .

The reason is that $x + .3 \times x=1.3\times x$

If the stock goes down 20%, it's multiplied by $0.8$

The reason is that $x - .2 \times x = 0.8 \times x$

If the stock goes down 30%, it's multiplied by $0.7$

The reason is that $x - .3 \times x = 0.7 \times x$

If the stock goes up 40%, it's multiplied by $1.4$ .

The reason is that $x + .4 \times x=1.4\times x$

If you increase it by 30% and then drop it by 20%, it means you are multiplying it by $1.3$ and then multiplying it by $.8$ . In other words:

$1.3 \times 0.8=1.04$

So, the net gain is = .04

Assume the original value = 500

Increase it by 30% and it becomes 650

Decrease 650 by 20% and it becomes 520

So, the net gain = 20

Verification:

$500 \times .04=20$

And

If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

$.7 \times 1.4=0.98$

So, the net loss is = 1 - 0.98 = .02

Assume the original value = 500

Decrease it by 30% and it becomes 350.

increase 350 by 40% and it becomes 490.

So, the net loss is = 10

Verification:

$500 \times .02=10$

Keywords: stock, loss, gain

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5 0

3 years ago