Problem 1
For functions like f(x), the input is x and the output is f(x).
If x = 7, then f(7) = 12 has the input 7 and output 12.
Therefore the ordered pair is (7, 12) which is the answer
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Problem 2
Replace every x with 3 and simplify
f(x) = 3*x
f(3) = 3*3
f(3) = 9
The input x = 3 leads to the output y = 9. Recall that y = f(x).
So (3,9) is the answer here.
Answer:
y=4/3+19/3
Step-by-step explanation:
When it asks for perpendicular it means your focusing on the slope.
Perpendicular means opposite of the current slope, so flip it and change the sign (-3/4 changes to 4/3). Next you will use the equation (y-y1)=m(x-x1)
y1=the y value given
x1=the x value given
m=your slope
(y-1)=4/3(x+4) Since the x point is minus a negative we get to change the sign to a positive. Next distribute the 4/3 to each term in the parenthesis.
y-1=4/3(x)+4/3(4)
y-1=4/3x+16/3 Now we add the one to both sides.
+1 +1 The one isn't in teh correct format to just add so first imagine it as 1/1. Now to get the bottom to have a 3 like in 16/3 we just multiply the top and bottom by 3.
Now we can add this to the 16/3
We can now put this back into our equation.
y=4/3+19/3
Answer: 2^5
Step-by-step explanation:
Formula: 2*x - For everyday
2*2 - Monday
4*2 - Tuesday
8*2 - Wednesday
16*2 - Thursday
So for Friday you can spell 32 words which is 2^5
Answer:
All 3 are right triangles.
Step-by-step explanation:
In a right triangle c^2 = a^2 + b^2 where c is the longest side. ( by Pythagoras).
a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27
36 = 9 + 27
So this is a right triangle.
b)
17^2 = 289, 15^2 = 225 and 8^2 = 64
289 = 225 + 64
Also right triangle.
c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25
So also right triangle.
