Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
Answer:
D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
Answer:
B
Step-by-step explanation:
The vertex is the turning point of the parabola.
First find the zeros by equating y to zero, that is
(x - 6)(x + 12) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 12 = 0 ⇒ x = - 12
The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, thus
=
=
= - 3
Thus the x- coordinate of the vertex is x = - 3 → B
Answer:
y = -2x - 2
Step-by-step explanation:
Slope intercept form of equation is y = mx + c
c is intercept and m is slope
given that slope is -2
m = -2
thus, equation in slope intercept will be
y = -2x + c
The given line passes through (-1,0)
y = -2x + c
lets substitute y = 0 and x = -1 in the given equation
0 = -2*-1 + c
0 = 2 + c
c = -2
Thus, the complete slope intercept equation after using the value of c as -2
we have
y = -2x - 2 answer
Hi There!
Conversion: 5 carats = 1 gram
Find: How many grams are in 24 carats.
Solution: 24 / 5 = 4.8
Answer: 4.8 carats
Hope This Helps :)