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dolphi86 [110]
2 years ago
8

the factors of the following polynomial are given below.choose the right factors that correspond to each given polynomial and wr

ite your answer on your answer sheet​​

Mathematics
1 answer:
seraphim [82]2 years ago
6 0

#1

\\ \ast\rm\longmapsto (x-9)(x+9)

\\ \ast\rm\longmapsto x^2-9^2

\\ \ast\rm\longmapsto x^2-81

#2

\\ \ast\rm\longmapsto (2x-7)(2x+7)

\\ \ast\rm\longmapsto 2x^2-7^2

\\ \ast\rm\longmapsto 4x^2-49

#3

\\ \ast\rm\longmapsto (4x-9y)(4x+9y)

\\ \ast\rm\longmapsto 4x^2-9y^2

\\ \ast\rm\longmapsto 16x^2-81y^2

#4

\\ \ast\rm\longmapsto (5x-1)(5x+1)

\\ \ast\rm\longmapsto 5x^2-1^2

\\ \ast\rm\longmapsto 25x^2-1

#5

\\ \ast\rm\longmapsto (9x-20y^2)(9x+20y^2)

\\ \ast\rm\longmapsto 9x^2-(20y^2)^2

\\ \ast\rm\longmapsto 81x^2-400y^2

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Please help with algebra 2 logarithms. brainliest if you explain and worth 25 points
Ronch [10]

Answer: 3log5(2) - 1 or ~0,29203

Step-by-step explanation:

2log5(4) - log5(10)

log5(4^2) - log5(10)

log5(4^2/10)

log5(16/10)

log5(8/5)

Log5(8) - log5(5)

log5(2^3) - 1

3log5(2) - 1

5 0
1 year ago
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u
padilas [110]

Answer:

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Step-by-step explanation:

We have been given that the average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p(n)=1.7\cdot b^n, where the parameter b is an unknown positive base.


We are asked to find the true statement about our given function.

A. If b= 1.45, the annual growth rate of the sales of smartphones is 145%.

Since we know that b equals (1+r) for growth function, where r is in decimal form.

If b=1.45, it means that the annual growth rate will be 45% as 0.45 is decimal form of 45%, therefore, statement A is not true.

B.  If b= 1.02, annual sales of smartphones will double in 2 years.

If b=1.02, it means that the annual growth rate will be 2% as 0.02 is decimal form of 2%, therefore, statement B is not true.

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Since we know that an exponential function is in form y=a*b^x, where a in initial value of function. We can see from our given function that a equals 1.7, therefore option C is a true statement.

D. The average sales of smartphones increases by 1.7 millions units every year.

Since our function is not a linear function, instead it is an exponential function, so rate of change can not be constant.

Therefore, option D is not true regarding our given function.

7 0
3 years ago
A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that t
Alexxandr [17]

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

4 0
3 years ago
I want the answer and way to do this problem.
user100 [1]

∠ABC = ∠CDA (given)

∠BCA = ∠DAC (given)

CA = AC (common side)

ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.

Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.

Therefore, △ABC ≅ △CDA under the ASA congruence criterion.

8 0
3 years ago
What is 21935483.87 rounded to the nearest million
elixir [45]
21,935,483.87 rounded to the nearest million is 22,000,000.00
5 0
3 years ago
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