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EastWind [94]
3 years ago
15

Suppose f:double-struck Rn → double-struck Rm and g:double-struck Rp → double-struck Rq. (a) What must be true about the numbers

n, m, p, and q for f ∘ g to make sense? n = q m = p n = p m = q n = m (b) What must be true about the numbers n, m, p, and q for g ∘ f to make sense? n = q m = p n = p m = q n = m (c) When does f ∘ f make sense?

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

See the attached picture.

Step-by-step explanation:

See the attached picture.

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Find all the powers of 4 in the range of 4 through 1000
Nookie1986 [14]

4¹ = 4
4² = 16
4³ = 64
4⁴ = 256

(4⁵ = 1,024)


4 0
3 years ago
Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col
MrRissso [65]

Answer:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

Step-by-step explanation:

We are required to find a unit vector in the direction of:

\left[\begin{array}{c}-8\\7\\2\end{array}\right]

Unit Vector, \hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}

The Modulus of \overrightarrow{a} =\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}

Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

5 0
4 years ago
Consider the function f(x)=x3+6x2−20x+450.
Damm [24]

Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

6 0
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otez555 [7]

Answer:

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Step-by-step explanation:

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2x - 6 = 22

2x = 22 + 6

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Answer:

3

Step-by-step explanation:

8 0
3 years ago
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