Answer:
Step-by-step explanation:
We can subtract the first equation from the second to find the value of 
, although we can also do this vice versa.
Now, we can use substitution to solve for 
:
(pick any equation for substitution)
Hope this helps :)
Answer:
C, D and E
Step-by-step explanation:
Assuming
f(x) = √(9−8x)
and the options are:
A. p(x) = √(-8x) and q(x)=9+x
B. p(x) = √(9+x) and q(x)=8x
C. p(x) = √(-x) and q(x)=8x−9
D. p(x)=√(9−x) and q(x)=8x
E. p(x)=√x and q(x)=9−8x
F. p(x)=9−8x and q(x)=√x
G. All of the above
H. None of the above
Substituting in f(x)=p(q(x)) we get:
A. √(-8(9+x)) = √(-72 - 8x)
B. √(9+(8x)) = √(9+8x)
C. √(-(8x−9
)) = √(-8x + 9)
D. √(9−(8x)) = √(9−8x)
E. √(9−8x
)
F. 9−8(√x
) = 9 - 8√x
Answer:
110
Step-by-step explanation:
What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?
To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:
∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞
The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.
It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:
(-45) - (+65) = -110
|-110| = 110
That's it! The Difference between -45 and +65 is as follows:
110
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
