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PolarNik [594]
3 years ago
5

If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer: C. m = -2; n = -2

have:

x² + 4x + c = (x + m)(x + n)

⇔ x² + 4x + c = x² + (m + n)x + mn

⇒ m + n = 4

    mn = c

=>  M=-2, n=-2 arent possible

Step-by-step explanation:

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Four friends went to the movies each ticket cost $8 and each person bought popcorn and a soda for $5 how much did they spend in
Neporo4naja [7]
Answer: m = $52

Explanation:
Tickets (t) = $8
Popcorn & Soda (s)= $5
Friends = 4
Since all friends bought the same thing the equation will be set as
4(t +s) = m OR 4t +4s = m
Using substitution, you plug each variable
t = 8 and s = 5
4((8) + (5)) = m
4(8+5) = m => 4(13) =m => 52=m
OR
4(8) + 4(5) = m => 32 + 20 = m =>
52 =m
7 0
3 years ago
an oil spreads 25 square meters every 10 minutes. how much area will the oil spill cover after 1 hour?
professor190 [17]
You know that every 10 minutes the oil moves 25 meters so and in 1 hour there are 60 minutes the equation is 60/10(25) and then you solve

The answer is 150 meters squared
3 0
3 years ago
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
3 years ago
For each value of x, determine whether it is a solution to -2=x/8-5
faust18 [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Santa gave kittens to 13 boys and girls. What is the ratio of kitten ears to kitten tails?
SVEN [57.7K]

Answer:

Ratio = 2 : 1

Step-by-step explanation:

Given

Population = 13 --- Boys & Girls

Required

Determine the ratio of the kitten ears to the tails

A kitten has 1 tail and 2 ears.

Assume each individual got 1 kitten each

This implies that,

Number\ of\ tails= 1 * 13

Number\ of\ tails= 13

Number\ of\ ears= 2* 13

Number\ of\ ears= 26

The ratio of ears to tail is then calculated as follows:

Ratio = Number of ears : Number of tails

This gives

Ratio = 26 : 13

Divide by 13

Ratio = 26/13 : 13/13

Ratio = 2 : 1

8 0
3 years ago
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