Answer:
The Answer Is On The Image
Step-by-step explanation:
Thanks.............
Answer:
62 and 64
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
Given,
x + 2 = y (Consecutive even numbers)
x - y = -2 (rearranged) - Equation 1
x + y = 126 - Equation 2
Now we can solve for x and y to find the 2 numbers by using substitution method in solving simultaneous equations.
x = y-2 (rearranged equation 1)
Now we substitute equation 1 into equation 2.
y - 2 + y = 126
2y - 2 = 126
2y = 126 + 2
2y = 128
y = 128 / 2
= 64
Now we will substitute y into equation 1.
x - 64 = -2
x = -2 + 64
= 62
Therefore the 2 numbers are 62 and 64.
Answer:
x = -4
Step-by-step explanation:
To find the value of x that makes a certain equation true means to solve the equation. You do this by rearranging the equation to make x the subject.
So,
2(x-8) = x+5x
2x - 16 = 6x
-16 = 6x-2x
4x = -16
x = -4
Hope this helps.
The function in vertex form is ⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
- , wher b is the coefficient of x
- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴
∴
Substitute the value of x in f(x) by the value of h to find k
∵ f( ) =
∴ f( ) =
∴ f( ) =
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , ,
∴
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
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