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blondinia [14]
2 years ago
9

50 points

Mathematics
1 answer:
Leya [2.2K]2 years ago
5 0

Answer:

\frac{2}{4} inch

Step-by-step explanation:

Step 1

List the length of the wingspan of the five butterflies

\frac{1}{4}, \frac{1}{4}, 1, \frac{2}{4}, \frac{3}{4}

Step 2:

The two butterflies with the shortest wingspan has a wing length of \frac{1}{4} inches each.

Step 3:

Total length of the wingspan of the two butterflies with the shortest wingspan

= =\frac{1}{4} +\frac{1}{4} \\
       = \frac{2}{4}

Final answer:

= \frac{2}{4} inch

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kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

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(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

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3 years ago
Answer the question about the image.
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Answer:

4

Step-by-step explanation:

hope this helps and have a great day

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