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2 years ago

5

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are ration

al, irrational, or nonreal complex.
t 2 - 8t + 16 = 0

1 answer:

sweet-ann [11.9K]2 years ago

3 0

T=-4

Hope this help…

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Devon is 30 years older than his son, Milan. The sum of both their ages is 48. Using the variables d and m to represent the ages

statuscvo [17]

Answer+Step-by-step explanation:

m = man's age

s = son's age

m=s+36

(m+8)=3*(s+8)

Resolves to: s=10, m=46

So the man is 46 (=10+36).

In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.

5 0

3 years ago

You roll two six-sided dice. Match each event with its probability.

Nina [5.8K]

Answer:

A) probability the sum is 8 or 11= 4/21

B) probability that sum is 12 or less than 10 = 6/7

C) Probability that the sum is 3 or less than 3 = 2/21

D) Probability that the sum is 2 or 10 = 1/7

Step-by-step explanation:

Since we have the same probability of each event in each dice, the answer would be just to check the different outcomes, two dices, each with 1 to 6;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)

Thus, there are 21 possible outcomes.

Now,

A) probability that the sum is 8 or 11;

From the outcomes above, the number of outcomes that have a sum as 8 or 11 are;

(2,6) ; (3,5) ; (4,4) ; (5,6)

So,probability = 4/21

B) From the outcomes above, the number of outcomes that are 12 or less than 10 are;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(6,6).

There are 18 possible outcomes.

So, probability that sum is 12 or less than 10 = 18/21 = 6/7

C)From the initial 21 outcomes, the number of outcomes that the sum is 3 or less than 3 are;(1,1);(1,2)

Thus,

Probability that the sum is 3 or less than 3 = 2/21

D) From the initial 21 outcomes, the number of outcomes that the sum is 2 or 10 are;

(1,1); (4,6) ; (5,5)

Thus,

Probability that the sum is 2 or 10 = 3/21 = 1/7

6 0

3 years ago

HELP PLEASE ASAP IM ON THE LAST ONE

inna [77]

Answer:

y=9; z=16

Step-by-step explanation:

7 0

3 years ago

A farmer has a truckload of watermelons to take to market. At the beginning of the trip, the watermelons weigh 1000 kg. 99% of t

Mariulka [41]

Answer:

The weight of watermelon at the end of the trip is <u>500 kg.</u>

Step-by-step explanation:

Given:

The weight of watermelons is 1000kg.

At the beginning of the trip watermelon is 99% of the weight:

99% of 1000kg

$\frac{99}{100}\times 1000$

$=0.99\times 1000$

$= 990$ kg

Now, at the end of the trip it is 98% of weight. So, let $x$ kg of water has been evaporated. So, remaining weight of the watermelon is $1000-x$ .

If $x$ kg of water is removed, then the amount of water left is $990-x$ .

As per question, water now weighs 98% of the total weight. So,

98% of ( $1000-x$ ) = $990-x$

$\frac{98}{100}\times (1000-x)=990-x$

$980-0.98x=990-x$

$-0.98x+x=990-980$ (Bringing like terms on one side)

$0.02x=10\\x=\frac{10}{0.02}=500\ kg$

Therefore, the weight of watermelon at the end of the trip is given as:

Weight = $1000 - x$ = 1000 - 500 = 500 kg

Therefore, the watermelon weighs 500 kg at the end of trip.

7 0

3 years ago

Read 2 more answers

A recipe for 1 batch of muffins included 2/3 cup of raisins. She made 2 1/2 batches of muffins. How many cups of raisins did she

choli [55]

Answer:

If she made <u>2</u> <em>1/2</em> batches of muffins and you had 2/3 of raisins per 1 batch then you'd have a total of 1 2/3 cups of raisins

Step-by-step explanation:

1 batch= 2/3 cups

<u>2 batches</u>=4/3 cups or 1 and 1/3 cups

<em>1/2 batch</em>= 1/2 of 2/3= 1/3 cups

2 batches+1/2 batches= 1 and 1/3 cups+1/3 cups

1 and 1/3 cups+1/3 cups= 1 and 2/3 cups of raisins

3 0

2 years ago