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Yuri [45]
3 years ago
6

A^2−8ab+16b^2=81, find a–4b

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

-9, 9

Step-by-step explanation:

a² − 8ab + 16b² = 81

(a - 4b)² = 81      Wrote the left-hand side as a square

 a - 4b = ±9     Took the square root of each side

All values of a - 4b are -9 and +9.

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Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =
vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2

a_1=8

Find the value of a_2

For n=2

a_2=2.9(a_1)-0.2(a_1)^2

a_2=2.9(8)-0.2(8)^2=10.4

Find the value of a_3

For n=3

a_3=2.9(a_2)-0.2(a_2)^2

a_3=2.9(10.4)-0.2(10.4)^2=8.528

For n=4

a_4=2.9(a_3)-0.2(a_3)^2

a_4=2.9(8.528)-0.2(8.528)^2=10.1858

For n=5

a_5=2.9(a_4)-0.2(a_4)^2

a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887

therefore

The population alternates between increasing and decreasing

7 0
3 years ago
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if 5 potatoes together weigh a kilogram and a 8 pears together 1,200 grams which weighs more a potatoe or a pear
pychu [463]
Pears because grams are more than kilograms
6 0
3 years ago
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What will be the multipicative inverse of 2/3?
Eddi Din [679]

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies it is something that is the opposite.

The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.

8 0
2 years ago
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Help! please I'm not sure what it is please i really need help for my final
AlladinOne [14]

Answer:A= 1,2 B=1,2 C=-9,10

Step-by-step explanation:

For A=

To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)

For B=

translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)

For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)

8 0
3 years ago
Answer the question below please
PSYCHO15rus [73]

Answer:

x=7

Step-by-step explanation:

AC=3x+3  AB=-1+2x and BC=11

AC = AB + BC

ALL THE STEPS:

3 X + 3 = - 1 + 2 X + 11

3 X + 3 = 2 X + 10

3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10

X + 3 = 10

X + 3 + ( - 3 ) = 10 + ( - 3 )

X = 7

5 0
3 years ago
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