Answer: A. 2x2 - 3x - 8
Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8
Hey there!
It looks like you have another factoring question!
Using our definition of the distributive property:
a(b+c) = ab+ac
We need to factor our or greatest common multiple, which here is 9.
9 times 2x = 18x and 9 times y = 9y
We have:
9(2x + y)
Once again, using the distributive property, multiply it out and you'll get 18x and 9y.
Hope this helps!
Answer:
3 seconds.
Step-by-step explanation:
We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.
To find the time it will take for object to hit the ground, we will use formula:
, where, 
represents initial velocity and 
represents initial height.
Upon substituting our given initial velocity and initial height, we will get:
We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:
Divide by 2:
Upon using quadratic formula, we will get:
Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.
They would have increased because the 20% is bigger than the 5% and 5%=monthly housing expenses raising slow. 20%=monthly housing expenses raising higher.
Hello there!
3x - y = 3
-x + y = 3
We need to solve 3x - y = 3 for y
Let start by adding -3x to both sides
3x - y = 3
3x - 3x - y = 3 - 3x
-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1
-y * -1= (3 - 3x)-1
y = 3x - 3
Substitute 3x -3 for y in -x+y=3
-x + y = 3
-x + 3x - 3 = 3
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
Now substitute 3 for x in y=3x -3
y = 3x - 3
y = 3(3) - 3
y= 9 - 3
y= 6
Thus,
The answer is x=3 and y=6
It is always my pleasure to help students like you :)
As always, I am here to help!
