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andrew-mc [135]
3 years ago
12

What is thirty-seven and nine tenths written in expanded form?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

The expanded form is; 30 + 7 + 0.9

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The value 5 is an upper bound for the zeros of the function shown below. f(x)=x^4+x^3 -11x^2-9x+18
Inessa [10]
Answer: True

Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.

Given:  f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0

The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).

For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.



7 0
3 years ago
Read 2 more answers
Solve 4/5x - 3 3/4x =2 1/2
faust18 [17]
First one subtract 4/5 and 3 3/4 then divide both sides by the number you get from subtracting.
4 0
3 years ago
Evaluate the function g(x) = –2x2 + 3x – 5 for the input values –2, 0, and 3
Sunny_sXe [5.5K]

Answer:

g(x)= -19

g(x)= -5

g(x)= -14

4 0
3 years ago
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Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.
MakcuM [25]

Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

  • c = 16 miles
  • b = 8 miles
  • a = 12 miles

Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

<em></em>

Therefore, the angle between their paths is <em>100.8°</em>

4 0
3 years ago
What is the coefficient on x in the product of (3x+2)(x+4)?
IceJOKER [234]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
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