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3 years ago

for the data in the table, does y vary directly with x? if it does, write an equation for the direct variation

Mathematics

1 answer:

algol133 years ago

8 0

Answer:

No; y does not very directly with x.

Step-by-step explanation:

y=2x: 2×6 is not 18

y=3x: 2×3 is not 6

y=4x: 3×4 is not 6

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How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

rjkz [21]

The transformed equation $g(x)=\frac{1}{x+4}-6$ , the graph is shifted 4 units to the left and 6 units down.

Explanation:

The parent equation is $f(x)=\frac{1}{x}$

The transformed equation is $g(x)=\frac{1}{x+4}-6$

By using the function transformation rules, we can see that the parent function $f(x)=\frac{1}{x}$ is transformed into the function $g(x)=\frac{1}{x+4}-6$

Since, from the function transformation rules, we know that,

$f(x+b)$ shifts the function b units to the left.

Thus, the transformed function is shifted 4 units to the left.

Also, from the function transformation rules, we know that,

$f(x)-b$ shifts the function b units downward.

Thus, the transformed function is shifted 6 units down.

Thus, the transformed equation $g(x)=\frac{1}{x+4}-6$ , the graph is shifted 4 units to the left and 6 units down.

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME! Drag the expressions into the boxes to correctly complete the table.

Kamila [148]

The polynomials are:

$x^4+3x^3-5x^2-7x+20$

$x^3-2x^2+x-12$

$x^2+3x^5-6x+12x^3$

Not a polynomial are:

$4\sqrt[3]{x} -\sqrt{x} -20$

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

$x^{-3}-x^{-2}-6x^{-1}+8$

Solution:

Polynomial is an expression with variables and coefficients,

Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

Option 1

$4\sqrt[3]{x} -\sqrt{x} -20$

Polynomial does not include roots

This is not a polynomial equation

Option 2

$x^4+3x^3-5x^2-7x+20$

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables

Option 3

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 4

$x^3-2x^2+x-12$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

Option 5

$x^{-3}-x^{-2}-6x^{-1}+8$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 6

$x^2+3x^5-6x+12x^3$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

5 0

3 years ago

I don't remember how to solve this problem I missed yesterday when we learned it. 4(x-2+y)

kow [346]

Answer:

4x - 8 + 4y

Step-by-step explanation:

4(x - 2 + y)

4x - 8 + 4y

You multiply each term in the parenthesis by the number in front of it.

3 0

3 years ago

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)? StartFraction 3

hichkok12 [17]

Answer:

Please check the answer whether it is correct or not :)

5 0

4 years ago

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Find the values of x that satisfy the inequalities x + 1 > 3 or x − 1 < −3

Finger [1]

X > 2, and x < -2 would be the correct answers

3 0

4 years ago