Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:

Here you go.Hope this help!!
1). The inequality says "height is 54 or more".
Any height that is less than 54 does NOT qualify.
2). The sign says "Maximum total weight 800 pounds".
Any weight that's 800 pounds or less is OK.
3). Paula has scored 21, 25, and 15 points.
. . . . . they're NOT all greater than 21
. . . . . they ARE all 25 or less
. . . . . they ARE all less than 30
. . . . . they ARE all 10 or more .
4). First, write down the number of cans that
each student collected, but arrange them in order.
Then check each choice.
A). misses the highest 3 students completely
B). includes everybody
C). misses the lowest 3 students completely
D). OK, but the first and last intervals aren't needed,
because nobody's cans are in those intervals
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
(substitution)
Collect like terms
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°
Answer:
The equation of the new line is
or 
Step-by-step explanation:
step 1
Find out the slope of the line with x-intercept (3,0) and y intercept (0,3)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the slope of the new line perpendicular to the given line
we know that
If two lines are perpendicular,then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have
----> slope of the given line
so
---> slope of the new line
step 3
Find the equation of the new line in point slope form

we have


substitute

----> equation in point slope form
Convert to slope intercept form

isolate the variable y

