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AlekseyPX
3 years ago
11

5X exponent 2 + 10x- 45=

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
I’ll assume the question is asking us to factor the above polynomial:
5x^2 + 10x - 45

Factor out a 5:
5(x^2 + 2x - 9)

This appears to be an irreducible quadratic polynomial, so let’s leave it alone.
5x^2 + 10x - 45 = 5(x^2 + 2x - 9)
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A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Dominik [7]

Question:

A population of insects, in thousands, can be modeled using the function

p(t) = 1.75(0.97)^t, where t is time in months. Which statement best

describes the population of insects?

A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

p(t) = 1.75(0.97)^t

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

y=ab^x

Compare to p(t) = 1.75(0.97)^t

b= 0.97\\

If b > 1, then b = 1 + r r represents growth rate

else, b= 1-r r represents decay rate

Since b < 0.97:

0.97= 1-r

r = 1 - 0.97

r = 0.03

r = 3\%

r = 0.03

7 0
2 years ago
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tino4ka555 [31]
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3 years ago
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Find the 72nd term of the arithmetic sequence 11, 7, 3, ...
Katen [24]

Answer:

-273

Step-by-step explanation:

find the common difference:

d = 7 - 11 = - 4

a_1 = 11

a_72 =  (72 - 1)* (-4)  +  a_1

a_72 =  (71)* (-4)  +  11

a_72 =   -273

3 0
3 years ago
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vekshin1
Distance formula: √((y2-y1)^2+(x2-x1)^2)

Plug in the values √((4-2)^2+(6-3)^2)
√((2)^2+(3)^2) = √(4+9) = √13 = 3.6

3.6 is your answer.
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3 years ago
Recall what you know about similarity. If circle B is similar to circle A, what must exist?
Arlecino [84]

Answer:

circle a and circle b must exist

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7 0
2 years ago
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