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Sedbober [7]
3 years ago
12

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

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Is the relationship shows by the data linear? If so, model the data with an equation.
Kipish [7]

Answer:

Yes, B

Step-by-step explanation:

Yes the data is linear because there is a constant rate of change.

For x or the input the rate of change is plus 2

For y or the output the rate of change is plus 4

y/x is your slope so 4/2=2

and the only equation with a slope of 2 is B


4 0
3 years ago
How would you find the volume of this cone?
posledela

Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m

Ans= approx. 26.4 m

Happy to help. Please mark as brainliest!

4 0
3 years ago
what is the answer to 630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
ahrayia [7]

Answer:

378 people

Step-by-step explanation:

60% of 630 = 0.6 × 630 = 378

4 0
2 years ago
Read 2 more answers
Plz help its just math
malfutka [58]

Answer:

-12 <3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Found out g<br> 2(g - 15) = -26 <br> Please help
posledela

Answer: g=2

Step-by-step explanation:

To solve this exercise you need to remember the following properties:

1. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2. The Addition property of Equality statest that:

If a=b, then a+c=b+c

3. The Subtraction property of Equality statest that:

If a=b, then a-c=b-c

4. The Division property of Equality statest that:

If a=b, then \frac{a}{c}=\frac{b}{c}

5. The Multiplication property of Equality statest that:

If a=b, then a*c=b*c

Given the equation:

2(g - 15) = -26

You must solve for "g" in order to find its value:

- Apply the Distributive property:

2g - 30= -26

- Apply the Addition property of Equality adding 30 to both sides of the equation:

2g - 30+30= -26+30\\\\2g=4

- Apply the  Division property of Equality dividing both sides by 2:

\frac{2g}{2}=\frac{4}{2}\\\\g=2

4 0
3 years ago
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