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BARSIC [14]
3 years ago
11

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!<br> Drag the expressions into the boxes to correctly complete the table.
Kamila [148]

<em><u>The polynomials are:</u></em>

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

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

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

<em><u>Not a polynomial are:</u></em>

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

<em><u>Solution:</u></em>

Polynomial is an expression with variables and coefficients,

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

<em><u>Option 1</u></em>

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

Polynomial does not include roots

This is not a polynomial equation

<em><u>Option 2</u></em>

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

<em><u>Option 3</u></em>

\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

<em><u>Option 4</u></em>

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

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

<em><u>Option 5</u></em>

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

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

<em><u>Option 6</u></em>

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
Read 2 more answers
Find the values of x that satisfy the inequalities x + 1 &gt; 3 or x − 1 &lt; −3
Finger [1]
X > 2, and x < -2 would be the correct answers
3 0
4 years ago
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