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jekas [21]
3 years ago
12

If f(x) - 3x? and g(x) = x+2, find (f•g)(x).

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

-3x^{2} -6x

Step-by-step explanation:

f(x)= - 3x

g(x) = x+2

(f•g)(x)

f(x) • g(x)

plug in

-3x • x+2

-3x(x+2)

distribute the -3x

-3x^{2} -6x

hope this helps!

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Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma
Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

                     = 311 + 243 - 135

                     = 419

b). n(A only) = 311 - 135

                   = 176

     n(B only) = 243 - 135

                   = 108

Exactly one of these two courses

  $=\frac{176+108}{500}$

  = 0.568

c). Neither economics nor mathematics

    $=\frac{500-419}{500} $

  $=\frac{81}{500}$

 = 0.162

7 0
3 years ago
Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
2 years ago
The cost to rent a paddle boat at the county park is $8 per hour plus a nonrefundable deposit of $10. The cost can be modeled by
Agata [3.3K]

Answer:

ok fine

Step-by-step explanation:

7 0
3 years ago
A line with a slope of 3 passes through the point (-1, 2).
Alona [7]

Answer:

y=3x+2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone help me find the functions zeros
Amiraneli [1.4K]

\bf g(x) = 2(x-3)^2-8\implies \stackrel{g(x)}{0}=2(x-3)^2-8\implies 8=2(x-3)^2 \\\\\\ \cfrac{8}{2}=(x-3)^2\implies 4=(x-3)^2\implies \pm\sqrt{4}=x-3\implies \pm 2 = x-3 \\\\\\ \pm 2 +3 = x\implies x = \begin{cases} 5\\ 1 \end{cases}

8 0
2 years ago
Read 2 more answers
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