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2 years ago

13

Write an expression that represents the height of a tree that began at 6 feet and increases by 2 feet each year. Let y represent

the number of years.

1 answer:

Oliga [24]2 years ago

4 0

Answer:x=2y+6

Step-by-step explanation:

Really weird that y is the number of years but ok

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What is the solution of the system? Use elimination.

sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

Step-by-step explanation:

Given the system of the equations

$2x\:+\:2y\:+z\:=\:7$

$-x-\:y\:+z\:=\:-5$

$x+3y-4z=12$

solving the system of the equations by the elimination method

$\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}$

$\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10$

$\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}$

$-2x-2y+2z=-10$

$+$

$\underline{2x+2y+z=7}$

$3z=-3$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}$

$2x+6y-8z=24$

$-$

$\underline{2x+2y+z=7}$

$4y-9z=17$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}$

Rearranging the equations

$\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}$

solve $3z=-3$ for z:

$z=-1$

$\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1$

solve $4y-9\left(-1\right)=17$ for y:

$4y-9\left(-1\right)=17$

$4y+9=17$

$4y=8$

$y=2$

$\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2$

solve $2x+2\cdot \:2-1=7$ for x:

$2x+2\cdot \:2-1=7$

$2x+3=7$

$2x=4$

$x=2$

Therefore, the solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

5 0

2 years ago

Jamir buys a Snickers bar that weighs 16.5 ounces. He takes 6 bites. How many ounces are in each bite?

san4es73 [151]

Answer:

16.5/6 is 2.75 soooo 2.75 ounces every bite!

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Mrs. kirby, 58, is a moderately active woman. she works in the garden almost daily, occasionally walks with her friends, and bab

uranmaximum [27]

Answer:

61,01%

Step-by-step explanation:

We must consider that her total energy intake is the addition of the energy given by the carbohydrates, fats and proteins she takes.

1g of carbohydrates contains 4kcal

1g of proteins contains 4kcal

1g of fat contains 9 kcal.

That is: 243 g of carbohidrates is equal to 972 kcal; 41g of fat is equal to 369 kcal and 63 g of proteins is equal to 252 kcal.

If we sum up all the calories she intakes in one day, the result is= 972kcal+369kcal+252kcal=1593kcal.

Now, we make a rule of 3: If 1593kcal is the 100% of the intake, then 972kcal = 972kcal*100%/1593kcal = 61,01%

5 0

3 years ago

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total of $561

Korvikt [17]

about 9 right handed gloves were sold, and about 3 left-handed gloves were sold.

5 0

2 years ago

Which expression is equivalent to 4(23)

Blizzard [7]

Answer:

the correct answer is , 4(20+3)

Step-by-step explanation:

6 0

2 years ago