2a+3
Step-by-step explanation:
x+4y=15 2x-y=-15
We have to make x neg.
-2(x) + 4y (-2)= -2(15)
-2x-8y=-30
2x-y=-15
-9y= -45
Solve for y
Y=-45/-9
Y = 5
Substitute your y answer into one original equation to find x .
x+4y=15
X+4(5)=15
X+20=15
X=15-20
X= -5
Answer is (-5,5)
In the picture we can see the graph represents of the function f(x)=x²-2x+3 that is curve graph.
Given that,
We have to find the graph represents the function f(x)=x²-2x+3.
We know that,
The quadratic function is f(x)=x²-2x+3.
This is a vertical parabola open downward
The vertex is a maximum
We know,
A vertical parabola's equation in vertex form is equal to
y= a(x-h)²+k
where
a is a coefficient
(h,k) is the vertex
Here
a=1
(h,k)=(0,3) is vertex
The y-intercept is the point (0,3) is value of y when the value of x is equal to zero (is the same point that the vertex)
The x-intercepts are the points is values of x when the value of y is equal to zero
Therefore, In the picture we can see the graph represents of the function f(x)=x²-2x+3.
To learn more about function visit: brainly.com/question/9554035
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Answer:
0.59049
Step-by-step explanation:
Set of all digit strings of length 5
Digit range = (0 - 9) = 10
Length of digit = 5
Total possible outcomes = 10^5 = 100000
String without a 4 ;
Digit range = (0,1,2,3,5,6,7,8,9) = 9
Length of digit = 5
Required outcome = 9^5 = 59049
Required outcome / Total possible outcomes
59049 / 100000
= 0.59049
Completing the square will always work for any quadratic, because you can always manipulate any quadratic by following completing the square.