Answer: f(x)=2-x^2
Step-by-step explanation:
The quadratic equation is
y=ax^2+bx+c
and c is equal to the y-intercept.
in the twi graphs shown both have the same shape but different y-intervepts.
c(the y-intercept) in the first graph is 5 and in the second graph(F) is 2.
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.
Answer:
6, 18
Step-by-step explanation:
8-2=6
24-6=18
Have a great day!
Answer:
$151.88 costs to Dan algebraic form
$245/2 = $122.50+20+15 = 157.5 is the answer though.
Step-by-step explanation:
35x+20(x-1)
35x + (20x -1)
35x +20x -1
35x -20x-20
x= 53/11
53/11 = 4.81
4.81 x 20 = $96.20 on chairs
4.81 x 15 = 72.15 on umbrella
96+72 = 168.35
245-168.35 = 76.65
76.65 + 20 = 96.65
Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20
Added together his costs out of 245 was $104.37+ 76.65 = $181.20
Costs of umbrella = 76.65/2 = 39.325
181.20 -29.325=151.87 rounded up to 151.87
As x = 53/11 the decimal of this is 4.81 = x
