First step is to factorize the given expression as follows:
2x^2 + 7x - 15 = (2x-3)(x+5)
This means that the two roots of the equation are 3/2 (or 1.5) and -5
Now, we will get r and s:
we are given that the value of r is greater than the value of s, since 1.5 is greater than -5, therefore:
r = 1.5
s = -5
Step by Step Solution
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System of Linear Equations entered :
[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :
-3y - 4x = -7 -3y + 16x = 13
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 16x = 3y + 13
[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]
[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y
[1] 15y = 15
[1] y = 1
// By now we know this much :
x = 3y/16+13/16
y = 1
// Use the y value to solve for x
x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
Answer:
3
Step-by-step explanation:
A polynomial is sometimes easier to evaluate if it is first written in Horner form:
-2x^2 -4x +3 = (-2x -4)x +3
For x = -2, this is ...
(-2(-2) -4)(-2) +3 = 0(-2) +3 = 3
The value is 3 when x = -2.
Answer:
Savannah's age = 6 years
Step-by-step explanation:
Let
Savannah's age = x
Dylan's age = 15
Dylan is 15, which is 3 years older than twice his sister Savannah’s age
Dylan = 2x + 3
Find Savannah's age
2x + 3 = 15
Subtract 3 from both sides
2x + 3 - 3 = 15 - 3
2x = 12
Divide both sides by 2
2x / 2 = 12 / 2
x = 6
Therefore,
Savannah's age = x
= 6 years
Dylan's age = 2x +3
= 2*6 + 3
= 12 + 3
= 15 years
