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Andreyy89
3 years ago
11

If f(x) = 5x - 3 and g(x) = 2x + 9, determine f(g(4)

Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

82

Step-by-step explanation:

f(x) = 5x - 3

g(x) = 2x + 9

f(g(x)) = 5 (2x + 9) - 3 ..... replace x with g(x)

f(g(4)) = 5 * (2 * 4 + 9) -3 = 85 - 3 = 82

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There are 6 rectangular flower gardens each measuring 18 feet by 17 feet in a rectangular city park measuring 80 feet by 160 fee
Aneli [31]

The area which is not in used for the flower gardens is 10964 sq ft.

Step-by-step explanation:

Given,

Length (l) of the rectangular park = 160 ft

Width (b) of the rectangular park = 80 ft

Length (l) of each rectangular flower garden = 18 ft

Width (b) of each rectangular flower garden = 17 ft

To find the area which is not in used.

Formula

The area of rectangle = l×b

Now,

The area of the rectangular park = 160×80 sq ft = 12800 sq ft

The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft

The area of 6 rectangular flower garden =  306×6 sq ft = 1836 sq ft

So,

The area which is not in used = 12800-1836 sq ft = 10964 sq ft.

4 0
3 years ago
Suppose that the commuting time on a particular train is uniformly distributed between 42 and 52 minutes. Bold a. What is the pr
nikdorinn [45]

Answer: 0.2

Step-by-step explanation:

Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).

∴ The probability density function of X will be :-

f(x)=\dfrac{1}{b-a}\\\\=\dfrac{1}{52-42}=\dfrac{1}{10}, 42

Thus, the required probability :-

P(X

Hence, the  probability that the commuting time will be less than 44 ​minutes= 0.2

7 0
3 years ago
Find the slope of the line that passes through the points (3,0) and (3,-2).
Fittoniya [83]
When given the points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we have
(3,0) and (3,-2)
(x,y)
x1=3
y1=0
x2=3
y2=-2

slope=(-2-0)/(3-3)=-2/0=undefined since you caon't divide by zero

answer is D
8 0
3 years ago
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Choose the symbol that completes the statement
asambeis [7]
The correct choice is b
4 0
3 years ago
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What fraction of a large pizza was eaten if Steven had 5/12 of the pizza and Lara had 1/3 of it? Give the answer in simplest for
oksano4ka [1.4K]
1/3 x 4/4 = 4/12
4/12 + 5/12 = 9/12
12/12 - 9/12 = 3/12
3/12 = 1/4
8 0
3 years ago
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