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Umnica [9.8K]
3 years ago
11

Suppose g is the function g(x) = 2^x and g : {1, 2, 3} ->{1, 2, 4, 8}

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}

by the function

g(x) = 2^x

i.e. we have g(1) =2\\g(2) = 4\\g(3) =8

Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to

But g is one to one as 1,2,3 have different images.

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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o
frutty [35]

Answer:

\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3

Step-by-step explanation:

Let a be the number of bags with 8 onions and let b be the number of bags with 3 onions. We have the following system of equations:

\begin{cases}a+b=7,\\8a+3b=41\end{cases}

Subtracting b from both sides of the first equation, we get a=7-b. Substitute this into the second equation:

8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}

Therefore, the number of 8-onion bags is:

a=7-b,\\a=7-3,\\a=\boxed{4}

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0
3 years ago
Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.
juin [17]

Answer:

108 cm^2

Step-by-step explanation:

The lateral surface area of a pyramid is given as

LSA= 1/2×perimeter of the base×slant height

base is hexagon with side 3 cm , therefore, perimeter of the base

=6×3=18 cm

slant height = 12 cm

thus, LSA = 1/2×18×12 = 108 cm^2

4 0
3 years ago
The quotient of a number w and(-8), which is then increased by 7
Colt1911 [192]
Okay, since quotient is the answer to a division problem, you will divide w and -8. Increased means to add so, you will +7.

w/-8 +7 is what the expression looks like.

5 0
3 years ago
What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?
andreev551 [17]

Answer:

V = 37.7cm^3

Step-by-step explanation:

The formula for the volume of a cone is:

V = \frac{1}{3} \pi r^2h

Given:

- Radius = 2cm

- Height = 9cm

Let's plug these into the equation:

V = \frac{1}{3} \pi (2)^2(9)

Now solve:

V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3}  \pi \\V = 12\pi \\V = 37.7cm^3

Therefore, the volume of the cone is 37.7cm^3.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
2 years ago
93 billion in scientific notation
Firdavs [7]
93 billion in scientific notation: <span>9.3x10^10
Have a great day! :D</span>
5 0
3 years ago
Read 2 more answers
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