Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
Step by step. :)
STEP
1
:
Equation at the end of step 1
0 - 7n • (n - 7) = 0
STEP
2
:
Equation at the end of step 2
-7n • (n - 7) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : -7n = 0
Multiply both sides of the equation by (-1) : 7n = 0
Divide both sides of the equation by 7:
n = 0
Solving a Single Variable Equation:
3.3 Solve : n-7 = 0
Add 7 to both sides of the equation :
n = 7
This is what i got! if i’m wrong i’m so sorry
but i tried. have a amazing day☺️☺️
Answer:
15 is 40% of 37.5
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
a^2 + b^2 = c^2
Answer:
no they don't one lies in quadrant 1 while the other is in quadrant 3
Step-by-step explanation:
