You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation
Start with the first values of x=0 and y=5.1 to solve for c:
so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
Matt’s gym charges more to reserve the basketball court.
To determine Matt’s cost of reserving the court, look for the difference between the mostly cost each time the court is reserved another time.
The cost of reserving the court one time is: $52.75.
The cost of reserving the court two times is: $55.50.
$55.50 - $52.75 = $2.75, therefore the cost of reserving the court is $2.75.
However it’s important to check your work to make sure that the cost increases by a constant amount. Check the difference between each time the court is reserved another time.
The cost of reserving the court two times is: $55.50.
The cost of reserving the court three times is: $58.25.
$58.25 - $55.50 = $2.75. The cost of reserving the court for a third time is an additional $2.75.
Finally, The cost of reserving the court three times is: $58.25.
The cost of reserving the count a forth time is $61.
$61 - $58.25 = $2.75, therefore the incremental cost of reserving the cost a forth time is $2.75.
Based on the information, Matt’s gym charges $2.75 every time he wants to reserve a court, whereas Tyrell’s gym only charges him $2.00, therefore Matt’s gym charges more.
Answer:
-3 < x
Step-by-step explanation:
3(x + 2) > X.
Distribute
3x+6 >x
Subtract 3x from each side
3x-3x +6 >x-3x
6> -2x
Divide each side by -2, remembering to flip the inequality
6/-2 < -2x/-2
-3 < x
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
Answer: c = 4.97 and c = -1.97
Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:
So, for the function f(x) = 
on interval [-4,9]
f(-4) = 
f(-4) = 113
f(9) = 
f(9) = 100
Calculating average:
Resolving through Bhaskara:
c = 
c = 
= 4.97
c = 
= -1.97
<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>
