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3 years ago

Which does not show a direct variation between x and y?

1 answer:

3 0

$(1)\\direct\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \ k\in\ R\\\\Ans.\ NOT\ direct\ is\ D\\\\(2)\\f(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\\\\ \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\\\\(3)\\f(x)=30x\ \ \ \Leftrightarrow\ \ \ \frac{f(x)}{x} =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.$

$\\\\(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.$

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For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)

AleksAgata [21]

Answer:

Step-by-step explanation:

Given

$6x_1-9x_2=8$

$9x_1+kx_2=-1$

The given system is $AX=B$ can be represented by

$\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}$

The given system is consistent when determinant of A is not equal to zero

$|A|$

$|A|=6k-(-81)=6k+81$

$k\neq \frac{-27}{2}$

i.e. system is consistent for all value of k except $k=\frac{-27}{2}$

$R-\frac{-27}{2}$

4 0

3 years ago

Read 2 more answers

Find the least common multiple of: 12x^3y^2 and 15x^2y^5

allochka39001 [22]

Answer: $60x^3y^5$

Step-by-step explanation:

Least Common Multiple :The least positive number that is a multiple of two or more numbers.

To find : The least common multiple of: $12x^3y^2$ and $15x^2y^5.$

Since, $12x^3y^2=2\times2\times3\times x^3y^2$

$15x^2y^5=3\times5\times x^2y^5$

The least common multiple of: $12x^3y^2$ and $15x^2y^5.$ = $2\times2\times3\times5\times x^3y^5=60x^3y^5$ [take highest power of x and y ]

Hence, the least common multiple of: $12x^3y^2$ and $15x^2y^5.$ = $60x^3y^5$

3 0

3 years ago

A pasta meal costs $8.95 at a local restaurant the cost to make a copycat version of the pasta meal at home is only $4.75 comple

coldgirl [10]

The absolute and relative cost difference in the restaurant and copycat meal are :

Copycat meal is $4.20 less than restaurant meal

Restaurant meal cost 1.88 times as much as copycat meal

Copycat meal is 53% of the cost of restaurant meal

Cost of restaurant meal = $8.95

Cost of copycat version = $4.75

1.)

Difference in cost of meal for both version :

Cost of restaurant meal - Cost of copycat version

($8.95 - $4.75) = $4.20.

The copycat meal is $4.20 less than the restaurant meal

2.)

Cost of restaurant meal ÷ Cost of copycat version

($8.95 ÷ $4.75) = 1.884 = 1.88(2 decimal places)

The restaurant meal cost 1.88 times as much as the copycat meal

3.)

Percentage = (8.95 - 4.75) × 100% = 53.07% = 53%(nearest whole number)

The copycat meal is 53% of the cost of restaurant meal

Therefore, the relative and absolute cost difference are $4.20, 1.88 times and 53%

Learn more :brainly.com/question/13218948

7 0

1 year ago

What is the percent of decrease from 110 to 77

Charra [1.4K]

If you want to easily find the solution you can use your calculator.
Just divide 77 by 110 and see the result.
77/110 = 0.7 = 7/10 = 70/100 = 70%
100% - 70% = 30%

Explanation
110*x=77
x=77/110, but the answer is not a percent
So 77/110 = ?/100 => ?=77*100/110=70 => 70%
But since 70% does not represent a percentage decreasement, we need to subtract it from the 100%
100% - 70% = 30%

8 0

3 years ago

Evaluate the expression 2x-y for x=17 and y=12

mafiozo [28]

Answer:

The answer is 22.

Step-by-step explanation:

1) Replace the x with 17, and the y with 12.

2) 2(17) - 12

3) 2x17 = 34

4) 34 - 12 = 22

6 0

3 years ago

Read 2 more answers