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3 years ago

7

The table shows the price for different numbers of cupcakes: Number of Cupcakes Price (in dollars) 3 12 4 16 5 20 7 28 Does this

table of numbers represent a proportional relationship? (

1 answer:

xxTIMURxx [149]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.

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Three times the sum of a number and seven is greater than five times the number less thirteen

Vlad [161]

3x(d+7) < 5d-13 (I think it is

8 0

3 years ago

Which ordered pair makes both inequalities true? y < –x + 1 y > x On a coordinate plane, 2 straight lines are shown. The f

goldenfox [79]

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

$y$

$y>x$

We need to find the ordered pair which makes both inequalities true.

Check the above inequalities for each given ordered pair.

For (-3,5),

$(5)$ (False)

For (-2,2),

$(2)$ (True)

$y>x\Rightarrow 2>-2$ (True)

So, both inequalities are true for (-2,2). Option B is correct.

For (-1,-3),

$y>x\Rightarrow -3>-1$ (False)

For (0,-1),

$y>x\Rightarrow -1>0$ (False)

Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).

Therefore, the correct option is B.

3 0

3 years ago

Read 2 more answers

Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

3 years ago

Covering the brake can cut Reaction Time by what percent

Allisa [31]

The percebt decides what rate of change it js so okease give examples

6 0

3 years ago

F(x) = x2 + 5<br> When the domain is ={-2.-1,1} what is the range

Citrus2011 [14]

Answer:

Range = {6, 9}.

Step-by-step explanation:

Just plug in the 3 numbers:

Range = (-2)^2+5 , (-1)^2 + 5 and 1^1 + 5

= 9, 6 and 6.

7 0

3 years ago