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g100num [7]
3 years ago
9

Graph the system of linear equations.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0

Answer:its d i hope i helped

Step-by-step explanation:

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A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives t
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126.56 feet

This can be found by finding the vertex of the parabola. You can find the t value using -b/2a and then plug that in to find the h value. 
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Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H
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Answer:

Han= 24 minutes

His sister= 24 minutes

His Dad= 36 minutes

Grandmother= 42 minutes

Step-by-step explanation:

Please see attached picture for full solution.

Where the working split, see the right hand side.

The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:

- Dad sits for 1.5 times of (Han and his sister)

- Dad sits for 1.5 times of Han and 1.5 times of Han's sister

I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.

The second case is possible and it's working is on the right.

Feel free to ask if you have any enquiries :)

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Indicate the sum of the terms in each of the following examples, and simplify the result by combining like terms:
katrin [286]

Answer:

The sum of the terms is equal to 5r^2-14r+3s.

The value of the sum at r=1,s=3 is 0.

Step-by-step explanation:

Given:

The terms that are given are:

10r^2, -6r, +5s, -8r, +2s, -5r^2, -4s

The sum of the terms is the addition of the given terms and is given as:

=10r^2+ (-6r)+5s+ (-8r)+2s + (-5r^2) + (-4s)

=10r^2-6r+5s-8r+2s-5r^2-4s

Now, combining like terms. Like terms means that are of the same type are grouped together. There are 3 different terms here 'r²', 'r' and 's'.

The terms containing 'r²' are: 10r^2, -5r^2

The terms containing 'r' are: -8r, -6r

The terms containing 's' are: 5s, 2s, -4s

Now, combining the like terms, we get:

=(10r^2-5r^2)+(-8r-6r)+(5s + 2s -4s)

=(10-5)r^2+(-8-6)r+(5+2-4)s

=5r^2+(-14)r+3s

=5r^2-14r+3s

Therefore, the final expression is equal to:

=5r^2-14r+3s

Now, plug in r=1,s=3. This gives,

=5(1)^2-14(1)+3(3)

=5\times 1-14+9

=5-14+9

=0

Therefore, the value of the sum of all the terms at r=1,s=3 is 0.

4 0
3 years ago
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