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BlackZzzverrR [31]
3 years ago
11

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0   ------> this is the required quadratic equation.

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How do you divide $306 into the ratio of 9:5:3? Can someone give me some advice on how to solve this problem?
GarryVolchara [31]
In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.

9x + 5x + 3x = 306

Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.

17x = 306

Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.

x = 18

However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.

9 * 18 = 162
5 * 18 = 90
3 * 18 = 54

You can verify that these numbers are correct because if you add them together you get 306.

Your final ratio is 162:90:54.

Hope this helps! :)

If you have a separate specific question about pre-tax prices and PMed me the link, I'd be happy to help you.
4 0
3 years ago
Efectúa las siguientes operaciones, aplicando la propiedad distributiva de la multiplicación. De ser posible simplifique los res
Alchen [17]

Answer:

Step-by-step explanation:

e) 3√2 (-3√6 -2 -6)

3√2 (-3√6 - 8)

-9√12 - 24√2

-9√(2^2 * 3) - 24√2

-18√3 - 24√2

or

6(-3√3 - 4√2)

f) -5√2 (3 + 2√2 - 6 - 1)

-5√2(-4 + 2√2)

20√2 - 20

or

20(√2 - 1)

7 0
2 years ago
What is the simplified expression for:
kari74 [83]
81=3^4 
I hope this helps! Good luck!
5 0
3 years ago
Barak spent $20 at the arcade. this represents 10%of the money earned by working at thepizza parlor last week.
Karolina [17]
20=10%
times 10
200=100%

he earned $200 at the parlor
4 0
3 years ago
A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is h(
kicyunya [14]

Answer: 50 ft

Step-by-step explanation:

The correct function is h(t)=-16t^2+200t+50.

Hi, to answer this question we simply have to replace t =0 in the function given:

h(t)=-16t^2+200t+50.

h (0) = -16t^2+200t+50.

h(0) = 50

When the time is 0, the rocket is at the top of the building.

The rocket was launched from a 50 ft height.

Feel free to ask for more if needed or if you did not understand something.  

4 0
3 years ago
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