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3 years ago

The annual growth of Kyle's butterfly collection is represented by the table. What does the 5 represent?

Mathematics

2 answers:

xeze [42]3 years ago

5 0

Answer:

Option D. The number of butterflies Kyle started with

Step-by-step explanation:

In this problem we have

x -----> the time in years

f(x) ----> the number of Kyle's butterfly collection

Observing the table

For x=0

f(0)=5 -----> this is the initial value of butterflies Kyle started with

For x=2

f(2)=20 -----> the number of butterflies in two years

For x=4

f(4)=80 -----> the number of butterflies in four years

therefore

5 represent the number of butterflies Kyle started with

lisabon 2012 [21]3 years ago

3 0

Answer:

option D

Step-by-step explanation:

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Bad White [126]

Answer:

The final answers are x = 1 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

x = ( -2 ± 4 ) / (2)

x = (-2+4) / (2) OR x = (-2-4) / (2)

x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.

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3 years ago

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If a data value is 2 and the mean is 11, what is the associated deviation?

Westkost [7]

Answer:

the mean = 9, and the mean deviation = 3.75

Hope this helps! :)

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2 years ago

which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help f

Alecsey [184]

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

$\frac{3}{4}+m=-\frac{7}{4}$

We solve for m to obtain:

$m=-\frac{7}{4}-\frac{3}{4}=-2.5$

We also solve the remaining equations to see which ones give the same result.

A: $m=\frac{10}{4} =2.5$

B: $m=-\frac{10}{4} =-2.5$

C: $m=-\frac{5}{2} =-2.5$

D: $\frac{11}{4}+m=-\frac{1}{4}$

$m=-\frac{1}{4}-\frac{11}{4}=-3$

E: $-\frac{5}{4}+m=-\frac{15}{4}$

$m=-\frac{15}{4}+\frac{5}{4}=-2.5$

F: $m+2=-0.5$

$m=-0.5-2=-2.5$

The equivalent equations are; B,C,E, and F.

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3 years ago

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Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

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