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Luden [163]
3 years ago
11

Solve for x and graph the solution on the number line below.

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
Search up Algebra Calculator on google and click the first website, it will help a lot and you won’t have to use points
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Let f(x) = xe−x if x ≥ 0 and f(x) = 0 if x &lt; 0<br> Is f a probability density function?
Lynna [10]

Yes. f(x) is a PDF if

• f(x) \ge 0 for all x in the support; this is true, since e^{-x}>0 for all x, and multiplying a positive number x doesn't change this fact;

• the integral of f(x) over its support is 1; this is also true, since

\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1

which can be computed by parts.

3 0
1 year ago
What is the range for the function f(x)=^3/×
Galina-37 [17]
M=ch x 4 next 3 = mch (34)
5 0
3 years ago
Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv
dezoksy [38]

Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

180000 - 4y = 144000

180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0
3 years ago
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
andre [41]

Answer:

60 yards

Step-by-step explanation:

300 = 2(30 + w) + 2(w)

300 = 60 +2w + 2w

300 = 60 + 4w

240 = 4w

60 = w

5 0
2 years ago
List some factors of 18 and 54
Jobisdone [24]
18=3x6,9x2
54=54x1,18x3
6 0
2 years ago
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