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Vitek1552 [10]
2 years ago
5

Y=x^2+2x-3. what is the quadratic equation and identify its solution.

Mathematics
1 answer:
Aleks [24]2 years ago
6 0

Answer:

x=-3, and x=1

Step-by-step explanation:

To solve for x you must set y to 0, since the solutions for x only exist when y is zero (the x intercepts)

0=x^2+2x-3

There are a couple of ways you can solve this quadratic equation

- by factoring

- by completing the square

- by the quadratic formula

Factoring is the simplest option in this case

the product of two numbers equals -3

the sum of the two numbers is 2

You can tell that the two numbers are 3 and -1

Now, you can factor the equation

(x+3)(x-1)=0

So the solutions are x=-3, and x=1

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A population of bears decreases exponentially.
timurjin [86]

Answer:

  0.8

Step-by-step explanation:

The annual factor will be found by dividing any year's population by the population of the year before. The points most easily read from the graph are the populations for years 0 and 1. Then the annual factor is ...

  factor = (year 1 population)/(year 0 population) = 320/400

  factor = 0.8

4 0
1 year ago
The equation P=31+1.75w models the relation between the amount of Tuyet’s monthly water bill payment, P, in dollars, and the num
umka2103 [35]

Answer: P = \$\ 52

Step-by-step explanation:

We have the equation P = 31 + 1.75w where P represents the payment and w represents the amount of water used.

To calculate the monthly payment that corresponds to 12 units of water you must do w = 12 in the main equation and solve for the variable P.

P = 31 + 1.75w

P = 31 + 1.75(12)

P = 31 + 21

P = 52

3 0
2 years ago
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations tha
olga55 [171]

Answer:

well

Step-by-step explanation:

44 legs and 15 animals you have to subtract

7 0
3 years ago
You have a basketball trophy in your room. The ball on the trophy has a diameter of 9 inches. What the volume of the ball?
saveliy_v [14]

Answer:

381.51 in^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 9/2 = 4.5

4/3 x 3.14 x 4.5^3 = 381.51 in^3

7 0
2 years ago
At Best Burgers, Jack collected sales data on the type of side order served with each type of burger purchased for a week. Jack
horsena [70]

The <em><u>correct answers</u></em> are:

60 pounds of onion rings and 60 hamburgers.

Explanation:

Jack serves a half pound of onion rings with every burger.  He serves 120 bacon cheeseburgers.  To find the number of pounds of onion rings, we multiply 1/2 pound by 120 burgers:

1/2(120) = 1/2(120/1) = (1*120)/(2*1) = 120/2 = 60 pounds of onion rings.

There were 8 hamburgers served out of the first 40 orders.  If this rate continues, then to find the number of hamburgers out of 300 orders, we multiply 8/40 by 300:

8/40(300) = 8/40(300/1) = (8*300)/(40*1) = 2400/40 = 60

There would be 60 hamburgers.

4 0
3 years ago
Read 2 more answers
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