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3 years ago

What is the length of the rectangular prism if it has a width of 13 meters, a helght of 17 meters, and a volume of 2,873

Mathematics

1 answer:

pentagon [3]3 years ago

6 0

Answer:

The length is 13m.

Step-by-step explanation:

$v = lwh \\ \\ 2873 = l(13)(17) \\ 2873 = 221l \\ l = 2873 \div 221 \\ l = 13$

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The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?

Maslowich

f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}

 f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
f(2)=[3(2) -6]]/2 = 0/2 = 0
f(4)=[3(4) -6]]/4 = 6/4 = 1.5
f(5)=[3(5) -6]]/5 = 9/5 = 1.8

answer is

c {5, 9, 0, 1.5, 1.8}

3 0

3 years ago

Read 2 more answers

Identify the domain and range

UkoKoshka [18]

Answer:

Domain: 1 ≤ x ≤ 4

Range : 1 ≤ f(x) ≤ 4

Step-by-step explanation:

The domain of a function f(x) is the limit within which the values of x varies.

Here, in the graph, it shows that the maximum value of x is 4 and the minimum value of x is 1.

Therefore, the domain of the function is 1 ≤ x ≤ 4

Again the range of a function f(x) is the limit within which the values of f(x) vary.

Here, the graph shows that the maximum value of f(x) is 4 and the minimum value of f(x) is 1.

Therefore, the range of the function f(x) is 1 ≤ f(x) ≤ 4. (Answer)

6 0

3 years ago

If g(x)=3x-11, what is x is g(x)=289

Liula [17]

Answer:x=100

Step-by-step explanation:

Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.

3x-11=289

+11 +11

----------------

3x = 300

Divide 3 on both sides to get x by itself

3x =300

---- -------

3 3

x=100

8 0

3 years ago

Midpoint of (-2,-1) (-6,12)

Leni [432]

Answer:

(-4, 5.5)

Step-by-step explanation:

1. put your Xs and Ys over 2

2. add them together

3. Divide

4. Simplify

5. Turn fraction into decimal

$m(x.y) \\ m = \frac{x1 + x2}{2} . \: \frac{y1 + y2}{2} \\ m = \: \frac{ - 2 + - 6}{2} . \frac{ - 1 + 12}{2} \\ m = ( - \frac{8}{2} . \frac{11}{2} ) \\ m = ( - 4 \: . \: 5 \frac{1}{2} ) \\ \\ \\ mid = ( - 4 \: \: . \: 5.5)$