Answer:
(C) 3 feet
Step-by-step explanation:
We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.
Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.
0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so
Meaning that when Sarina threw the ball, it's height was 3 feet.
Hope this helped!
Answer:
Option B) (5+6)+4=5+(6+4) is correct
An example of the associative property of addition is (5+6)+4=5+(6+4)
Step-by-step explanation:
Given
Verify that the given equation is an example of associative property of addition or not:
We have the associative property of addition
Comparing the equation (1) and(2) we have the given equation is in associative property
Therefore option B) (5+6)+4=5+(6+4) is correct
An example of the associative property of addition is (5+6)+4=5+(6+4)
Answer:
So the quotient is and the remainder is
.
Step-by-step explanation:
We could do this by synthetic division since the denominator is a linear factor in the form .
Since we are dividing by , this is our setup for the synthetic division:
-2 | 1 7 9 -8
| -2 -10 2
______________
1 5 -1 -6
So the quotient is and the remainder is
.
So .
We can also do long division.
x^2+5x-1
____________________
x+2| x^3+7x^2+9x-8
-(x^3+2x^2)
-------------------
5x^2+9x-8
-( 5x^2+10x)
--------------------
-x-8
-(-x-2)
--------------
-6
So we see here we get the same quotient, . and the same remainder,
.
Now let's check our result that:
.
So I'm going to rewrite the right hand side as a single fraction:
.
Now let's focus on multiplying .
We are going to multiply the first term of the first ( ) to every term in the second ( ).
We are also going to multiply the second term of the first ( ) to every term in the second ( ).
---------------------------Combine like terms:
So let's go back where we were in our check of :
We have the exact same thing on both sides so we did good.