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3 years ago

Fill in the table using this function rule

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

Substitute the left column of the table for x

Please click thanks, rate, and mark brainliest if you want.

alexgriva [62]3 years ago

3 0

Answer:

1 to 8

2 to 13

8 to 43

10 to 53

Step-by-step explanation:

This function rule induces that the x’s

(1, 2, 8, and 10) follow some pattern to get y.

In this case, it is asking you to multiply the x’s by 5, then to add 3. If you follow this pattern, you will get your answers.

1 x 5 =5

5+3=8

1 to 8

2 x 5=10

10+3 = 13

2 to 13.

continue this pattern, and you will have completed this function table.

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19) Albert says that the two systems of equations shown have the same solutions.

k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

$6x + y= 2$

$-x-y=-3$

solving the system

$\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18$

$\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}$

adding the equation

$-6x-6y=-18$

$+$

$\underline{6x+y=2}$

$-5y=-16$

so the system becomes

$\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

simplify

$y=\frac{16}{5}$

$\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$6x+\frac{16}{5}=2$

subtract 16/5 from both sides

$6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}$

$6x=-\frac{6}{5}$

Divide both sides by 6

$\frac{6x}{6}=\frac{-\frac{6}{5}}{6}$

$x=-\frac{1}{5}$

Therefore, the solution to the FIRST SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

SECOND SYSTEM

$2x-3y = -10$

$-x-y=-3$

solving the system

$\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6$

$\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}$

$-2x-2y=-6$

$+$

$\underline{2x-3y=-10}$

$-5y=-16$

so the system of equations becomes

$\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

Simplify

$y=\frac{16}{5}$

$\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$2x-3\cdot \frac{16}{5}=-10$

$2x=-\frac{2}{5}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\frac{2}{5}}{2}$

Simplify

$x=-\frac{1}{5}$

Therefore, the solution to the SECOND SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

8 0

3 years ago

Alina, Robert, and Makayla are on the student council at their high school.

Scilla [17]

Answer:

B. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins

7 0

3 years ago

Read 2 more answers

What is 30 percent of 38

stepladder [879]

Answer: 11.4

Simply multiply 38 by .30 to find the percentage of the number.

5 0

3 years ago

Help please now

Allisa [31]

Answer:

Part A

Part B

176

Step-by-step explanation:

Total: 65+110+75 = 250

P(O) = 75/250 × 100 = 30%

P(A) = 110/250 × 100 = 44%

P(K) = 65/250 × 100 = 26%

Apple juice:

44% of 400

44/100 × 400

176

5 0

4 years ago

Almost 7/16 of thd total water supplied to a house hold is wasted because of leaky faucets. determine the decimal equivalent of

Lena [83]

Answer:

0.4375

Step-by-step explanation:

To find the decimal equivalent you have to divide the numerator by the denominator.

7 ÷ 16 = 0.4375

4 0

3 years ago