The table represents quadratic function g. Which statement is true about the function?
I
-5
-4 -3
-2 -1 0
-1
0
-1
-4 -9 -16
O A. The minimum occurs at the function's x-intercept.
O B.
The maximum occurs at the function's x-intercept.
O C.
The maximum occurs at the function's y-intercept.
The minimum occurs at the function's y-intercept.
O D.
Answers
Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]
From inspection of the table, we can see that:
[tex]g(-5) = -1[/tex] and[tex]g(-3) = -1[/tex]This indicates symmetry.
The line of symmetry is the mid-point between the two x-values.
Therefore, the line of symmetry is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a maximum.
As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.
Answer:
B
Step-by-step explanation:
Finding the line of symmetry :
⇒ Two x-values have the same y-coordinate → (-5) and (-3)
⇒ This means the symmetry is exhibited and it lies between these 2 x-values
⇒ Line of symmetry : x = -4
=============================================================
Now, on plotting these points on a graph we see that this graph has a negative coefficient.
⇒ This means this graph will have a maximum point as the vertex
⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)
Hence, we can say that the maximum occurs at the function's x-intercept.
Related Questions
5x – 2x + 7 – x = ?x + ?
I need the answer for "no solution" and "infinite solutions".
(preferably with an explanation)
thanks to anyone who helps
Answers
Step-by-step explanation:
5x – 2x + 7 – x = ?x + ?
I need the answer for "no solution" and "infinite solutions".
NO SOLUTION:
no solution because any value you give to x is not solvable, it remains +7
5x – 2x + 7 – x = ?x + ?
2x = 2x + 7
INFINITE SOLUTION
infinite solutions because any value you give to x is solvable
5x – 2x + 7 – x = ?x + ?
5x – 2x + 7 – x = 2x + 7
2x + 7 = 2x + 7
in the figure above m is parallel to the line n the measure of angle one is 40 degrees what is the measure of angle 2
Answers
Step-by-step explanation:
angle 2+40=180
angle 2=180-40
angle 2=140
the answer Is 140 degree
In this figure, a || b | c and m/1 = 50°
What is m/3 ?
O 40°
O 50°
O 130°
O I don't know.
Answers
The value of m<3= 130
The correct option is (c)
What is alternate interior angle?Given:
m<1= 50
m<1+ m<2= 180 (Linear pair)
m<2= 180-50
m<2=130
Now, m<2 = m<3 [alternate interior angles]
m<3= 130
Hence, the measure of <3 is 130.
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Answer:
The person above me is correct
Step-by-step explanation:
Write an inequality for the graph shown below.
Use x for your variable.
-11-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0
4
2
w.
O
ロマロ
X
S
6 7 8
口<口
S
9 10 11 X
OSO
?
Answers
Step-by-step explanation:
x is less than or equal to 0.
so click x than the choose the third option then click 0
Question 4 multiple choice answer for me
Answers
Answer: The answer is B.
Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.
2а + 20 = -3а - 5 pls help
Answers
Answer: A= -5
Step-by-step explanation:
Answer: a = 5
Step-by-step explanation:
To solve, we will isolate the variable a.
Given:
2а + 20 = -3а - 5
Add 3a to both sides of the equation:
5а + 20 = - 5
Subtract 20 from both sides of the equation:
5а = 25
Divide both sides of the equation by 5:
a = 5
In circle o, mzaob=41. what is maxb?
(not drawn to scale)
b 221
319
o
a 82
41
b
Answers
Answer:
82+41=awnser
Step-by-step explanation:
82+41= smart
PLEASE HELPP! ILL GIVE BRAINLIEST!
Which graph represents a quadratic function that has exactly one real zero?
Answers
There exists one real zero when the vertex lies on the x-axis, from that we conclude that the correct option is A.
Which quadratic function has only one real zero?
The real zeros of a quadratic function are the values of x at which the graph of the quadratic function intercepts the x-axis.
If we want only one real zero, then we must have only one intercept. And this only can happen if the vertex of the quadratic function lies on the x-axis.
As you can see, the only graph where that happens is the one in option A, so we conclude that option A is the correct one.
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If the bowl contains 5 red marbles 7 blue marbles and 8 white marbles what is the probability you will draw a blue and red marble when you pick one out?
5/20
15/20
7/20
2/5
Answers
Answer:
none of those are correct.
Step-by-step explanation:
5 red
7 blue
8 white
5 red + 7 blue= 12
5 red + 7 blue + 8 white= 20
=12/20
=6/10
=3/5Can someone help me with this graph please
Answers
a.In short supply
b.5
c.5
LABEL THE CIRCLE BY FILLING THE BOXES WITH THE APPROPRIATE PARTS OF THW CIRCLE.
Answers
The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
The radius is the double the diameter.
The longest chord in the circle is diameter.
The angle formed at the centre is known as centeral angle.
Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
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The volume of a right cone is 17287 units³. If its circumference measures 247 units,
find its height.
Answers
The height of the right cone is 10.68 unit
What is Volume ?Volume is defined as the space occupied by a three dimensional object.
Volume of a right cone is given by
V = π r²h/3
C = 2 π r
r = 247/2 π
3 * 17287 = π r²h
3 * 17287 = π *(247/2 π )²h
h = 51861 *π *4/61009
h = 10.68 unit
Therefore the height of the right cone is 10.68 unit.
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5. What is the measurement of each angle?
Answers
Answer:
x=14
Step-by-step explanation:
The sum of a interior angle is 180°
(7x-11)+(2x-3)+(5x-2)°=180°
7x+2x+5x=180+11+3+2
14x/14=196/14
x= 14
Hope this answers your question!! :)
You have combined different polygons to create a polyhedron to approximate a sphere. The sum of all the faces of the polyhedron is about 78.5 square meters. Estimate the radius of the sphere.
Answers
Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
What is the surface area of sphere?The surface area of sphere is given by A = 4πr² where r = radius of sphere
Radius of the sphereMaking r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
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Express the quotient as a fraction in simplest form
-5/7 ÷ 6/7
A. 5/6
B. -30/49
C. 30/49
D. 5/6
Answers
Answer:
-5/6
Step-by-step explanation:
A great way to divide fractions is to use the "leave it, change it, flip it" method. You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal. Like this:
-5/7 ÷ 6/7
-5/7 x 6/7
-5/7 x 7/6
Then you multiply through. First -5 x 7, -35, and then 7 x 6, 42, to get -35/42. Because both of these are divisible by 7, we can simplify to get -5/6.
Answer:
-5
6
Step-by-step explanation:
⇒ [tex]\frac{-5}{7}[/tex] ÷ [tex]\frac{6}{7}[/tex]
⇒ [tex]\frac{-5}{7}[/tex] × [tex]\frac{7}{6}[/tex]
(We do this because when dividing a fraction by another fraction we take the inverse of the second fraction and multiply it to the first fraction.)
⇒ -5 × 7 = -35 (to simplify just divide both by 7) = -5
7 × 6 42 6
So the answer is -5
6
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answers
Answer:
There are infinitely many solutions to the system because the equations represent the same line
39. The table shows the average U.S. crude oil imports in thousands of barrels per day.
(8 points total)
Determine the correlations coefficient, r, for a linear, exponential, and
quadratic model. Round to the 3 decimals places
Year
1930
Linear:
Exponential:
1940
1950
Quadratic:
1960
1970
1980
1990
Based on the correlation coefficient, which model is the best?
2000
Imports
170
117
487
1015
1324
5263
5894
9071
Answers
Answer:
2000 imports is the best i think
12.36:
the measures of two angles in a parallelogram add to [tex]204^{\circ}[/tex] . find the measure of each of the other two angles.
Answers
Step-by-step explanation:
in a parallelogram we have 2 equally large angles and 2 equally small angles.
the sum of all 4 angles must be 360°.
so let's first determine what angles are together 204°.
if it would be 2 neighboring angles, it would be the sum of a large and a small angle.
and the sum of the remaining 2 angles would be the same (again 204°).
but that that would together be 408°. too much.
so, it can only be that the 2 given angles are a pair of equal angles. and each would be
204/2 = 102°
as they are larger than 90°, they are the large angles in the parallelogram.
so, the other 2 angles are the pair of equally large small angles. together they have
360 - 204 = 156°
and each one is then
156/2 = 78°
Pls show full work thank you so much:)))
Answers
Answer x= 30
M angle A = 85
M angle C = 45
Reason - see picture for the math
There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.
Answers
Answer:
137,114
Step-by-step explanation:
First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.
xavier has a golf score of -7 and curtis has a golf score of -12 who has the higher score
Answers
Answer:
xavier
Step-by-step explanation:
in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?
is this correct ,please check
Answers
Choices B, C, and D are correct. Nice work.
Further explanation:
Choice A is ruled out because we aren't multiplying 5 by 6Choice B is correct because 4*5 is the same as 5*4. Similarly, 3(2+6) is the same as 3(6+2). We can add in any order, and multiply in any order. See the commutative property for more details.Choice C is correct for similar reasoning as choice BThe distributive property allows us to go from 3(2+6) to 3*2+3*6, showing that choice D is the same as B and C.You can confirm each answer by using a calculator. The result of simplifying the original expression is 44. You should find that expressions B, C and D also result in 44. Only choice A is the one that doesn't fit in since it results in 56.Ben and greg go to the movies and purchase snacks. Ben purchases four cookies and two bottles of water for a total cost of 9.00. Greg purchases two cookies and two bottles of water for a total cost of 7.00. What is the total cost of a bottle of water?
Answers
Answer:
Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference
between two combinations is the cost of 2 cookies, and it is equal to $9 - $7 = $2. So 2 cookies cost $2.
Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to $7 - $2 = $5.
Answer. A bottle of water costs $2.50.
Step-by-step explanation:
Help!! Which of the following is equivalent to 3 6
— = —— ?
X X-4
Answers
Answer:
3rd Option - 3(x-4) = 6x
Step-by-step explanation:
To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :
[tex]\frac{3}{x} = \frac{6}{x-4}[/tex] -----> [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)
Now to remove x-4 under 6x we do the following :
[tex]{3}= \frac{6x}{x-4}[/tex] ------> [tex]3(x-4)= {6x[/tex]
Therefore giving our answer as the 3rd option.
Hope this helped and have a good day
Help!! I don’t understand how to answer this
Answers
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
What is the value of a?
Answers
Answer:
Any more information to the problem?
Step-by-step explanation:
10 · c − 8 · 95 = (10 − 8) · 95
Answers
Answer:
x=95
Step-by-step explanation:
First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.
On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.
Answers
The possible orders in which Elliott can do these tasks is 24
What is Permutation ?
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
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easy points!! i don't understand how to complete these, i have a few left just need help really since it's due tomorrow x
Answers
The perimeter of the sector = 47.905 cm
47.905 cm is greater than 47.5 cm.
What is the Perimeter of a Sector?Perimeter of a sector = Arc length + 2(radius).
Arc length = ∅/360 × 2πr
Given the following:
r = 11 cm∅ = 135°Perimeter = (∅/360 × 2πr) + 2(r) = (135/360 × 2×π×11) + 2(11)
Perimeter = 25.905 + 22
Perimeter = 47.905 cm
Thus, the perimeter of the sector (47.905 cm) is greater than 47.5 cm.
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the average of 5 girls is 6 yrs. the average of 4 of them is 16½. what is d age of d fifth gal
Answers
Answer:
This assumes the question should read:
"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal
The age, d, is 14 years.
Step-by-step explanation:
When the girl with age d is not included, the average goes up to 16.5 years. Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years. d is the age of the girl that is removed from the average.
We know that all the girls (GroupA + d) have an average age of 16 years:
(GroupA + d)/5 = 16 years [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].
We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:
(GroupA)/4 = 16.5 years
This tells us the sum of the ages for GroupA:
GroupA = 4*(16.5)
GroupA total = 66 years
From above: (GroupA + d)/5 = 16 years
Since GroupA = 66 years, (66 years + d)/5 = 16 years
(66 years + d) = 90 years
d = 14 years