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Gwar [14]
3 years ago
14

Can somebody help me with this please

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
Uhhh, kind of an estimated guess but I got $7426.30
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The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa
vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:  

(-1,14)

14 = a*(-1)^2 + b*(-1) + c  

(2,-7)

-7 = a*2^2 + b*2 + c  

(5, 8)  

8 = a*5^2 + b*5 + c  

Rearranging:

a - b + c = 14  

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1    -1  1

4    2  1

25  5  1

x =

a  

b

c

b =

14

-7

8

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =  

0.055555556 -0.111111111   0.055555556

-0.388888889 0.444444444   -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

2

-9

3

So, a = 2, b = -9, c = 3

5 0
3 years ago
The sum of two numbers is 84. The difference of the two numbers is 32. What are the two numbers.
eimsori [14]

Answer:

The sum of two numbers is 84:

u + y = 84

The difference of the two numbers is 32:

u - y = 32

7 0
3 years ago
Read 2 more answers
Solve for m.<br> m+9=-2<br><br> m=?
amm1812
11
subtract 9 to both sides
7 0
3 years ago
Read 2 more answers
Yo i need help please ( if u can’t see the problem zoom in btw ) but fr i need to pass plz help
erastovalidia [21]

Answer:

Given no. of persons owned laptop = 76

Total of no. of students owned + Total of no. of students dont have owned laptop given = 155

No. of students dont have laptops = 155 - 76 = 79

So then the total no. of no laptops = 79 + 17 = 96(ans)

8 0
3 years ago
Tommy purchased a riding lawnmower with an original value of $2,500. If the value of the riding lawnmower decreases by $300 per
Eva8 [605]

Answer:

$1000.

Step-by-step explanation:

Let x represent number of years.

We have been given that Tommy purchased a riding lawnmower with an original value of $2,500. The value of the riding lawnmower decreases by $300 per year. We are asked to find the value of lawnmower after 5 years.

Since the value of the riding lawnmower decreases by $300 per year, so value of lawnmower decrease in 5 years would be 5 times $300.

The final value of lawnmower would be initial value minus value decreased in 5 years.

\text{The value of the lawnmower after five years}=\$2500-\$300(5)

\text{The value of the lawnmower after five years}=\$2500-\$1500

\text{The value of the lawnmower after five years}=\$1000

Therefore, the value of lawnmower after  years would be $1000.

7 0
3 years ago
Read 2 more answers
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