Suppose f(x)=x+2. Find the graph of f(1/3x)

Which expression represents exponential decay

Lelu [443]

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

$y=ab^x$

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only $y=10(0.13)^x$ represents exponential decay.

Therefore, the correct option is C.

5 0

3 years ago

GET POINTS look at pictur 15 POINTS

kap26 [50]

2. y=2x+3

When x =0 and y= something, the 'something' is your y-intercept which is b in the y=mx+b formula. Then we look at what is changed in the x and y value to determine the m part. the x increase by 1 and y increase by 2 so the m part is 2.

3. y=-7x
Same as the last one, there is no y-inter this time because the y=0 when x=0/ So the y deceased by 7 each time and x incease by 1 so it is -7 for the m part.

6 0

3 years ago

Read 2 more answers

(x+y)^2 (x2+2xy+y2) pleas show all work

lakkis [162]

Answer:

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

4

+4x

3

y+6x

2

y

2

+4xy

3

+y

4

Step-by-step explanation:

1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

2

=a

2

+2ab+b

2

.

({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x

2

+2xy+y

2

)(x

2

+2xy+y

2

)

2 Expand by distributing sum groups.

{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

2

(x

2

+2xy+y

2

)+2xy(x

2

+2xy+y

2

)+y

2

(x

2

+2xy+y

2

)

3 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

4

+2x

3

y+x

2

y

2

+2xy(x

2

+2xy+y

2

)+y

2

(x

2

+2xy+y

2

)

4 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x

4

+2x

3

y+x

2

y

2

+2x

3

y+4x

2

y

2

+2xy

3

+y

2

(x

2

+2xy+y

2

)

5 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x

4

+2x

3

y+x

2

y

2

+2x

3

y+4x

2

y

2

+2xy

3

+y

2

x

2

+2y

3

x+y

4

6 Collect like terms.

{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x

4

+(2x

3

y+2x

3

y)+(x

2

y

2

+4x

2

y

2

+x

2

y

2

)+(2xy

3

+2xy

3

)+y

4

7 Simplify.

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

4

+4x

3

y+6x

2

y

2

+4xy

3

+y

4

7 0

3 years ago

Read 2 more answers

10a-7b+11+8a-b-12 help pleas

mars1129 [50]

Combine like terms: 18a - 8b -1

7 0

3 years ago

A conjecture and the two-column proof used to prove the conjecture are shown.

Ahat [919]

Answer:

Just took the quiz hopefully this helps!

Step-by-step explanation:

4 0

3 years ago