Answer:
can u please send the question again with clear picture of diagram?
Answer:
64=2✖️2✖️2✖️2✖️2✖️2
80=2✖️2✖️2✖️2✖️2✖️5
Common factors=2✖️2✖️2✖️2
As HCF= Product of common factors
HCF =2✖️2✖️2✖️2
HCF=16
Step-by-step explanation:
I hope this will help you:)
Answer:
see below
Step-by-step explanation:
bag: 3 red + 2 black = 5 total
Box: 4 green + 1 yellow = 5 total
P(red) = number of red/ total in bag = 3/5
P(green) = number of green / total in box = 4/5
P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
