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3 years ago

Identify the coefficient of the term –3gh

1 answer:

5 0

The variables are the letters g and h because, t<span>he coefficient is the number in front of the variables (the letters are variables)</span>

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X(x-3)=0 find all solutions what does x=?

LenaWriter [7]

Answer: x={0,3}

x(x-3)=0
x=0, x-3=0
x=0, x=3
x={0,3}

3 0

3 years ago

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function

Margaret [11]

Answer:

Two lines only can intersect if the lines are not parallel.

And given a linear equation:

y = a*x + b

Where a is the slope and b is the y-intercept, the general equation for a parallel line to this one is:

y = a*x + c

with the condition:

b ≠ c

So we need to have the same slope and a different y-intercept.

Then when we compare the linear function that represents the number of animals adopted with the linear function that represents the hours volunteers work at the shelter, you need to look if both equations have a different slope or not.

Let's describe the two cases:

If the lines have the same slope, then you need to see the y-intercept.

If the y-intercept is different, then the lines never do intersect.

If the y-intercept is equal, then both equations describe the same line (as both have the same slope and the same y-intercept).

If the lines have different slope, then we can conclude that the lines are not parallel, and the lines will intersect at some point.

4 0

3 years ago

The height of a cone shaped statue is 9 feet and the diameter is 12 feet .what is the approximate volume of the statue?

dalvyx [7]

Answer:

113.04

Step-by-step explanation:

6*6=36

36*3.14=113.04

4 0

3 years ago

Read 2 more answers

Alexa borrows $10,000 from her aunt and they agree Alexa will pay her back including 5% simple interest. How much more will Alex

zavuch27 [327]

Answer:

46.73

Step-by-step explanation:

10000(5)75/)57)/83)’lsh “32=46.73

3 0

3 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers ( h, i , j , m ), are there with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

$\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]$

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0

3 years ago