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Colt1911 [192]
3 years ago
14

Write two other mixed numbers that both add up to 30

Mathematics
1 answer:
amid [387]3 years ago
8 0
27 3/4 + 2 1/4
15 1/3 + 14 2/3
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After 3/4 of a minute a sloth has moved just 3/8 of a foot.What is the sloths speed in feet per minute?
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3/4min=3/8ft
4/4(1)=3/8+(1/4x3/8)
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Convert 75 percent to a decimal
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75 / 100 = .75

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Find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation sin 2θ = sin θ.
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3 years ago
Solve the inequality and express your answer in interval notation<br> x^2+8x-7&lt;0
balandron [24]

Answer:

  • (-8.8, 0.8)

Step-by-step explanation:

  • x^2+8x-7<0
  • x^2 + 8x + 16 - 23 < 0
  • (x + 4)^2 < 23
  • |x + 4| < √23 ≈ 4.8

1 .

  • x + 4 < 4.8
  • x < 0.8

2.

  • -(x + 4) < 4.8
  • x + 4 > - 4.8
  • x > - 8.8

<u>Combination of the two intervals:</u>

  • x = (-8.8, 0.8)

4 0
3 years ago
Which of the following is equivalent to the polynomial below?
Gnoma [55]

Answer:

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))

Step-by-step explanation:

Consider the quadratic expression

x^2-8x+19

First, find its discriminant:

D=(-8)^2-4\cdot 1\cdot 19=64-76=-12

Note that i^2=-1, then D=12i^2.

Use quadratic formula to find the roots:

x_{1,2}=\dfrac{-(-8)\pm \sqrt{12i^2}}{2\cdot 1}=\dfrac{8\pm 2\sqrt{3} i}{2}=4\pm \sqrt{3}i

Now, given quadratic expression is equivalent to

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))\\ \\=(x-4-\sqrt{3}i)(x-4+\sqrt{3}i)

6 0
3 years ago
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