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mote1985 [20]
3 years ago
13

Which graph represents a function with the initial value of 1/2 Graph 2

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
Graph 2 because It’s looks like it’s 1/2
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Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Rus_ich [418]

Answer:

The x-intercepts of the function are x = 3 and x = -5.

Step-by-step explanation:

We are given the function \displaystyle f(x) = x^2 + 2x - 15.

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is f(x) = ax^2 + bx + c = 0.

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our <em>a</em> is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

  • Find what factors of c add up to give you b.
  • Add to x if positive or subtract from x if negative and set it equal to zero.
  • Solve for x - these are your x-intercepts.

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

  • 15 cannot be divided by 2 evenly.
  • 15 can be divided by 3 evenly: 15/3 = 5
  • 15 cannot be divided by 4 evenly.
  • 15 can be divided by 5 evenly: 15/5 = 3

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

  • 5 + -3 = 2
  • -5 + 3 = -2

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

x + 5 = 0\\\\x = -5

x - 3 = 0\\\\x = 3

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.

4 0
3 years ago
What is equal to 20/40?
vagabundo [1.1K]

Answer:

1/2 is equal to 20/40

that is the answer

7 0
3 years ago
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Shay wants to buy a bag of honeycrisp apples. One bag has a cost of $6.00. If There are 12 apples in each bag, what is the unit
Sergio [31]

Answer:

.50 C

Step-by-step explanation:

if you divide 6 by 12 you get   .50

This means the cost of each apple is .50 cents.

8 0
2 years ago
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Fins the product of (3s+2t)(3s-3t)
erastovalidia [21]
Your answer is 9s^2-9st+6st-6t^2
6 0
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If the markup us 80% and the selling price is $122.40, what is the cost to store?
stiv31 [10]
You can do it this think and if you can't I will help you
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