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yulyashka [42]
3 years ago
12

A population of 42 fruit flies has increased

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
Multiply 42 times 150 percent or 42×1.5 which would be 63
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Write a polynomial equation that is best represented by the graph.
Agata [3.3K]
So we gots apolynomial equation that is 3rd degree and crosses x axis at x=-1, x=0 and x=2

the factors of a poly equation that passes through r1,r2,r3 is
(x-r1)(x-r2)(x-r3)

so
r1=-1
r2=0
r3=2
f(x)=(x-(-1))(x-0)(x-2)
f(x)=(x+1)(x)(x-2)
f(x)=x³-x²-2x
leading coefient is posiitve because 3rd degree equations that are postive go bottom left to top right
yah
actually that looks like the exact graph


both
f(x)=(x+1)(x)(x-2)
and
f(x)=x³-x²-2x
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What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:
dimaraw [331]

Focus on triangles DFC and DFE:

  • They are both right triangles because DF is perpendicular to EC
  • DC=DE
  • DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

8x=3x+15 \iff 5x=15 \iff x=3

And since x=3, the length of EF is

EF=3x+15=3\cdot 3+15=24

7 0
3 years ago
In XYZ, XY=XZ<br> Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12
lorasvet [3.4K]

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

5 0
3 years ago
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