The options 2 and 4 would have the same graphical representation.
Step-by-step explanation:
Step 1:
To determine which functions are equal to the question, we must assign values to x and see which values equal the function f(x) = .
Any random value can be assigned to x but the same value of x must be assigned to all the equations.
Step 2:
If we substitute x = 5, we get
Question; f(x) =
Option 1; f(x)
Option 2; f(x) =
Option 3; f(x) =
Option 4; f(x)
So options 2 and 4 would have the same graphical representation.
Answer:
In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)
Remember that a linear relation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:
a = (y₂ - y₁)/(x₂ - x₁)
Then in our case, the slope will be:
a = (25 - 16)/(28 - 24) = 9/4
y = (9/4)*x + b
Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.
If we replace these in the equation, we can find the value of b.
16 = (9/4)*24 + b
16 = 54 + b
16 - 54 = b - 38
Then the equation is:
y = (9/4)*x - 38
Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.
34 = (9/4)*x - 38
34 + 38 = (9/4)*x
72*(4/9) = x = 32
So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)
The answer is c
Step-by-step explanation:
Exact Form:
9/10
Decimal Form:
0.9
Answer:
-4x(5x-3)
Step-by-step explanation:
-20x^2 - 12x
-20x^2 = -4*5*x*x = -2*2*5*x*x
-12x = -4*3*x = -2*2*3*x
The common terms are -2*2*x = -4x. Whats left goes inside the parentheses
-4x(5x-3)