Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.The domain is {x|x ≤ –2}.
The range is {y|y ≤ 6}.
The function is increasing over the interval (–∞ , –2).
The function is decreasing over the interval (−4, ∞).
The function has a positive y-intercept.
Answers
f(x) = -x2 -4x + 2
The standard form is:
f(x) =-(x+2)2 + 6
Since this a quadratic function, the domain is all real numbers.
The vertex is at (-2, 6)
Since there is a negative 1 before the square term, the graph is curved downwards.
Equating the function to 0, the y-intercepts can be determined which are 0.45 and -0.45.
Therefore, from the given statements, these apply:
The range is {y|y ≤ 6}.
The function is increasing over the interval (–∞ , –2).
The function is decreasing over the interval (−4, ∞).
The function has a positive y-intercept.
we have
using a graph tool
see the attached figure
Statements
case 1) The domain is {x|x ≤ –2}
Is false. the domain is all real numbers---------> interval (-∞,∞)
case 2) The range is {y|y ≤ 6}.
Is true
Is a parabola open down, the vertex is the point
the range is the interval ------> (-∞,-6]
case 3) The function is increasing over the interval (–∞ , –2).
Is true (see the graph)
case 4) The function is decreasing over the interval (−4, ∞)
Is false
In the interval (-4,-2) the function is increasing and in the interval (-2, ∞) the function is decreasing
case 5) The function has a positive y-intercept
Is true
The y-intercept is the point
therefore
the answer is
The range is {y|y ≤ 6}
The function is increasing over the interval (–∞ , –2)
The function has a positive y-intercept
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A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 8 of these 90 packages at random and then counted the number of nuts in each package. The manager recorded the results.31, 31, 32, 33, 35, 35, 35, 36 What is the estimated median number of nuts in all 90 packages? ________
Answers
Answer:
The markup is the difference between the selling price and the cost price, divided by the cost price, then multiplied by 100 to get a percentage.
The difference between the selling price and the cost price is $15 - $9.38 = $5.62.
So, the percent of markup is ($5.62 / $9.38) x 100 = 59.91%.
Rounding to the nearest percent, we get 60%. So, Kerri is marking up the doll clothes by 60%.
students?
1. 12
2. 9
3. 54
4. 15
Answers
If you go 27-5-4=18
18-5-4=9
9-5-4=0
so 5+5+5 (because it's 5 girls to 4 boys, only count the 5's) =15
Hope this helps! :)
Answer:
2.9
Step-by-step explanation:
Answers
Answers
then EF = ?
Answers
The measure of line segment EF from the given line segment DF is 80 units.
From the given line segment and
.
A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
In the given line segment
Substitute in
, we get
Therefore, the measure of line segment EF is 80 units.
To learn more about the midpoint of line segment visit:
brainly.com/question/29163672.
#SPJ3
Answer:
Step-by-step explanation:
7x + 3 = 9x - 19
-2x + 3 = -19
-2x = -22
x = 11
DE= 7(11) + 3 = 77 + 3 = 80
EF = 9(11) - 19 = 99 - 19 = 80
80 + 80 = 160 for DF
Answers
It's impossible to tell. You haven't told us anything whatsoever
about the objects ... not even WHAT they are. We don't know
whether they're cells, football fields, continents, planets, or galaxies.
Is there any chance that maybe, just maybe, the list of objects is
right there with the part of the question that you copied and posted,
but you felt that we could answer the question without knowing what
they are, so you didn't bother posting the list ?