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3 years ago

The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?

Mathematics

1 answer:

lana [24]3 years ago

6 0

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

= (-5 ± √121)/2

= - 16/2, 6/2 = -8 or 3

Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each

vivado [14]

Answer:

They would be 44.6 miles apart

Step-by-step explanation:

Here, we want to calculate how far they will be in 1 hour

Mathematically;

Distance = speed * time

In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles

While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles

Now, we want to calculate how far apart they would be

On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end

On the 24 miles Claire would be at a distance of 20.6 miles

So how far apart they would be is

24 miles + 20.6 miles = 44.6 miles

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3 years ago

yuan tossed a paper cup 40 times and recorded howth cup landed each time. he organized the results in the table shown based on y

Leviafan [203]

Answer: 40%

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Directions: State whether or not (3, -2) is a solution to the following systems.

andrew11 [14]

(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

1. x - 2y = 7 and 2x + 3y = 0

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

2.- x - y = -5 and 3x - 4y = 17

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

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8 0

2 years ago

Please help me someone

kap26 [50]

Answer:

The correct answer option is D. He multiplied the divisor by 100 and dividend by 10.

Step-by-step explanation:

We are given that Miguel completed the division where initially he had to divide 754 by 0.52.

To make it easier, he multiplied both the divisor and the dividend by the same number to get rid of the decimal in the divisor.

If he multiplied the divisor by 100, he should have multiplied the dividend by 100 too. But instead, he mistakenly multiplied the divisor by 100 and dividend by 10.

5 0

3 years ago

This is a little hard i guess so i added a little more points :D math btw

Sonbull [250]

Answer:

First,I will add all the numbers up which is 4+5+6+9=24.Then,i would find the total amount of people which is 4.Then you divide it by 4 and you get 6.And there is your answer.Each person get 6 marble.

Step-by-step explanation:

5 0

3 years ago

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