For which pairs of functions is (f•g)(x)=x

The graph below shows the amount of money that a student has in the bank at the end of each week.

storchak [24]

Answer:

The student will have 130 dollars in the bank at the end of week 11.

Step-by-step explanation:

Pattern:

The pattern given by this graphic is that:

For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:

At the end of 6 weeks, he will have $80.

At the end of 7 weeks, he will have $90.

At the end of 8 weeks, he will have $100.

At the end of 9 weeks, he will have $110.

At the end of 10 weeks, he will have $120.

At the end of 11 weeks, he will have $130.

The student will have 130 dollars in the bank at the end of week 11.

7 0

2 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

1 year ago

The figure below is dilated with the center of dilation at the origin and a scale factor

almond37 [142]

Old coordinate

B(2,-6)

As center of dilation is origin the scale factor only multiplied with B

So

new coordinate

B'

1/2(2,-6)
(2/2,-6/2)
(1,-3)

6 0

1 year ago

Scientists estimate between 10,000,000 and 50,000,000 monarch

frozen [14]

Answer:

Step-by-step explanation:The Monarch Butterfly Biosphere Reserve is a World Heritage Site containing most of the ... The monarch butterflies migration patterns are altered by climate change. During migration ... This area is predominantly covered in forests. ... These colonies are dense, with between six and sixty million butterflies per hectare.

4 0

2 years ago

Read 2 more answers

find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP

galben [10]

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

(3/4 )x + 3 $\frac{1}{2}$ = (2/3)x - 6 $\frac{1}{2}$
(3/4)x + (7/2) = (2/3)x - (13/2)
(3/4)x - (2/3)x = - (13 /2) - (7/2)
(1/12)x = -10
x = -10 / (1/12) = -120

5 0

2 years ago