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AfilCa [17]
3 years ago
8

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

4n - 12 < 2n + 2 is for n=6

4×6 -12 < 2×6 +2

24 - 12 < 12 + 2

12 < 14 correct

for n=7

4×7 - 12 < 2×7 + 2

16 < 16 incorrect

for n=8

4×8 - 12 < 2×8 + 2

20 < 18 incorrect

for n=9

4×9 - 12 < 2×9 + 2

24 < 20 incorrect

so, only for n=6 is the expression true.

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About how many grams of a 500 g sample of technetium-99 is left after 2 days
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Answer:

Step-by-step explanation:

1.95 g

7 0
3 years ago
Percentage change 42 increased to 145
dedylja [7]
The answer should be 103? because when you add 103 to 42 u should get 103%.
3 0
4 years ago
Рабочий изготовил за 1 час 17 деталей . А его ученик 12 деталей . Сколько деталей они изготовят за 7 часов совместной работы
Svetradugi [14.3K]

Answer:

203

Step-by-step explanation:

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4 0
3 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
3 years ago
Read 2 more answers
Can someone explain how to even do this, I literally just don't get it ​
kolezko [41]

Answer:

It is an isosceles triangle (side FE = FG)

Therefore the base angles are equal.

75 degrees = 2x degrees

x = 75 / 2 = 37.5 degrees

Step-by-step explanation:

3 0
2 years ago
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