What are the coordinates of the vertex of the graph? Is it a maximum or minimum
Answers
Based on the graph, the coordinates of the vertex are at (0, -1), and since the parabola opens upwards, the vertex is a minimum.
Therefore, the correct answer is A:
(0,-1) ; minimum
The image shows a parabola opening upwards on a coordinate plane. The vertex of a parabola is the highest or lowest point on the graph, depending on whether the parabola opens downward or upward, respectively.
Here's a detailed explanation for identifying the vertex and determining if it is a maximum or minimum:
Step 1: Identify the Vertex
The vertex of a parabola in the form [tex]\(y = ax^2 + bx + c\)[/tex] can be found using the vertex formula [tex]\(x = -\frac{b}{2a}\)[/tex] for the x-coordinate and then substituting that back into the equation for y to find the y-coordinate. However, in this case, we can directly observe the vertex from the graph. It's the point where the parabola changes direction.
Step 2: Read the Coordinates from the Graph
From the graph, we can see that the vertex is at the origin of the parabola's turning point. It appears to be at (0, -1) by looking at where the axis of symmetry of the parabola intersects the y-axis.
Step 3: Determine Maximum or Minimum
Since the parabola opens upwards, as indicated by the shape of the graph, the vertex represents the minimum point of the parabola. If the parabola were to open downwards, the vertex would represent the maximum point.
Related Questions
A circular garden has a circumference of 44 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden?
Answers
plz give me the brainliest
It will take almost 2 hours to dig across the garden.
What is circumference of circle?"It is the length of the boundary of the circle."
Formula for the circumference of circle:[tex]c = 2\times \pi \times r[/tex]
What is rate?"It is the distance covered per unit times."
For given question,
A circular garden has a circumference of 44 yards.
⇒ C = 44
⇒ 2 × π × r = 44
⇒ 2 × r = 14.01 yards
We know, the diameter of the circle is d = 2 × r
This means, the diameter of the circular ground is 14.01 yards.
here, the rate (s) = 7 yards per hour
Using the formula of rate,
[tex]\Rightarrow s=\frac{d}{t}\\\\\Rightarrow 7=\frac{14.01}{t}\\\\ \Rightarrow t= 2.001\\\\ \Rightarrow t\approx 2~~hours[/tex]
Therefore, it will take him almost 2 hours to dig across the garden.
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The tank shown is made of steel. It does not have a cover. Find the area of steel sheet used to make the tank.
Answers
.. 2*(6.5 ft +28 ft) = 69 ft
so the lateral area of the tank is
.. 69 ft * 13 ft = 897 ft^2
The area of the bottom is
.. 6.5 ft * 28 ft = 182 ft^2
The total area is 897 ft^2 +182 ft^2 = 1079 ft^2.
then 6.5 * 13 * 2= 169 ft squared
and then find the last two sides which are
28 * 13= 364 ft squared
Finally you have to add all the above areas so, 182+169+364= 717 ft squared
HELP ME ASAP!!! I never understood the concept of finding the missing length/side... Can anyone help?
Answers
since the bigger one is 15 and the smaller one is 5 so its 2 times bigger? I think 3cm or 2cm.
am always plans his leisure time for surfing the Internet and painting in the same ratio. Use the information given to complete the table. Internet surfing (min) Painting (min) 24 24 36 40 33 44
Answers
Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas
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To start, squares are a shape in which all of its sides are congruent to one another. Knowing the length of one side would mean that you would know the length of all the other sides.
Because you know that one side measures 22 cm, you can conclude that all the other sides of the square are also at a length/width of 22 cm.
Next, you will find the area of the square.
Because the area formula is Area=Length * Width, you can easily find the area of the square by multiplying 22*22 since the length and width of any square is the same.
When you simplify 22*22, you should get 484.
Therefore, the area of the square canvas would be 484 cm squared.
Hope this helps and have a marvelous day! :)
What’s a Equlivant fraction for 2/8 3/8 and 4/8
Need ASAP
Thanks
Answers
To get the equivalent fractions, you simply have to multiply the fraction with another fraction that would equal to 1.
2/8 x 2/2 (this is equal to 1) = 4/16; 1/4
3/8 x 2/2 = 6/16; 9/24
4/8 x 2/2 = 8/16; 1/2
What is 2/5³? Please put it in simplest form.
Answers
What are the roots of f(x)=x2-48
Answers
What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm
Use 3.14 for pi and round to the nearest hundredth
Cm2
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To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.
Now, find the area of the circle. It's pi x r^2, so the area is 352.810.
Multiply this by 30% to find our area of 105.84 cm^2
Please help.
Find the arc measure ML. The measure of arc ML = ______ degrees.
Answers
An item travels 70 ft in 10 s. What is the unit rate?
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if you want o find the rate you have to get in by itself on one side so divide both sides by time
distance/time = rate
now replace the words with the values and complete the problem
(70 ft)/(10s) = rate
7 feet per sec = rate
The answer is that the unit rate is 7 feet per sec (or fps)
Wow, I am dump. Anyways can anyone help me with this.
Answers
What mixed number does it show?
Answers
Since there are 4 columns of boxes fully shaded in and one other box with one section shaded in out of 6 sections, the answer would be
4 + 1 of 6, or
4 1/6.
Hope this helps!
plz brainliest
hope I helped
circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
Answers
we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
they are all congruent
so
divide 180 by 3 ----------------> 180/3=60°
Find the length of arc rc=60°
if 360°----------------> (2*pi*7) length of circumference
60° -------------------> X
X=60*2*pi*7/360------------> 7.327 units
the answer is
the length of arc rc= 7.33 units
35 feet. The distance from the slide to the bench is 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.
Answers
the answer to this question is 37
Solve the quadratic equation by completing the square.
x^2 + 4x - 3 = 0
A) x = 4 ± 7
B) x = 2 ± 7
C) x = -4 ± 7
D) x = -2 ± 7
Answers
[tex]x^2+4x-3=0\\(x^2+4x+4) -3-4=0\\(x+2)^2=7\\x+2=\pm\sqrt{7}\\x=-2\pm\sqrt{7}[/tex]
The appropriate choice is
... D) x = -2 ±√7
In a farm consisting only of horses and chickens, there are 146 total feet. If there are 50 animals total, how many horses are there?
Answers
h(4)+c(2)=146
x+y=50
Find the slope and the y-intercept in this equation: 3y+6=-2x
Answers
y intercept: -2
To solve this problem, you should first put in it slope intercept form.
Here are the steps:
3y + 6 = -2x Add 6 to both sides
3y = -2x - 6 Divide both sides by 3
y = (-2/3)x - 2
The you can see that the slope is (-2/3) and the y-intercept is (0, -2).
I hope this helps,
MrEQ
A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
What is the sample space for this experiment?
S = {B, W, R}
S = {B, W, R, G, P}
S = {G, P}
S = {B, R, G, P}
------
Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.
What is the probability that the student earned an A on the last test?
Enter your answer as a fraction, in simplest form, in the box.
Answers
Hope this helps!
ANSWER 1 :
Sample Space ( S )= {B, W, R, G, P} Option (ii)
Explanation:
There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.
One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.
So, Sample space is S = {B, W, R, G, P} Option(ii)
Final answer.
Answer 2 :
Probability for student earn grade A = [tex] \frac{7}{12} [/tex]
Explanation :
There are total 24 students in a class.
All student appeared in a test.
14 students are got grade A
and 10 students are got grade B.
One student choose at random whose grade is A.
Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)
Probability for selected grade A student = [tex] \frac{14}{24} [/tex]
Probability for selected grade A student =[tex] \frac{7}{12} [/tex]
Final answer.
How do you do this!?! need to know in 3 hours
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Henry can write 5 pages of his novel in 3 hours.
Answers
what is the questoin ? xD
a quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation.Which rule below represents a transformation that does not preserve the length of the sides of the quadrilateral?
Answers
a) Rigid Transformations
b) Non-Rigid Transformations
Rigid Transformations, as their name indicate, do not alter the size or shape. These include reflection, rotation and translation
Non-Rigid Transformations, do not preserve the size. The shape remains the same. This include Dilation.
The question asks to find a rule which do not preserve the lengths of the sides of the Quadrilateral. So one thing is for sure. The quadrilateral has undergone non-rigid transformation i.e Dilation. Dilation involves both contraction and expansion. So the rule which will either expand or contract the given quadrilateral will be the right choice to the given question.
Answer:
(X,Y) ——> (3x - 2, y - 3)
Step-by-step explanation:
Because it’s multiplying X by 3 meaning that is a dilation
Hong purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Hong paid?
Answers
Abigail flipped a coin 20 times, and it landed with heads facing up 13 times. What percent of the coin flips landed with heads facing up.
Answers
Divide:
13/20=0.65=65%
Hope this helped☺☺
The percentage of times Abigail's coin landed on heads is 65%, which is found by dividing the number of successful outcomes (head flips) by the total number of trials (total flips) and then multiplying by 100.
Explanation:The calculation you're asking for is one of percentage, which is a basic concept in mathematics often related to probability and statistics. We determine the percentage of times the coin landed on heads by dividing the number of successful outcomes (the coin landing on heads) by the total number of trials (the total coin flips), and then multiplying that result by 100 to convert the decimal to a percentage.
Here's a step-by-step way to do it:
Firstly, count the number of times the coin landed on heads, which is 13. Next, count the total number of coin flips, which is 20. Divide the number of successful outcomes (head flips) by the total trials (total flips). In this case, 13 ÷ 20 = 0.65. Finally, to convert this decimal to a percentage, multiply by 100. So, 0.65 × 100 = 65%.
So, 65% of Abigail's coin flips landed with heads facing up.
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3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answers
Answer:
90
Step-by-step explanation:
:P
The points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
u=
Answers
u = 10
Explanation:
The slope of the lone can be calculated as follows:
slope = (y2-y1) / (x2-x1)
We are given:
slope = -4/3
point (10,6) representing (x1,y1)
point (7,u) representing (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
-4/3 = (u-6) / (7-10)
-4/3 = (u-6) / -3
4/3 = (u-6) / 3
3*4 = 3*(u-6)
4 = u-6
u = 4+6
u = 10
Hope this helps :)
find the area of the composite figure
Answers
Answer:
its f
Step-by-step explanation:
Is 6 pints is greater than less than or equal to 60 fluid ounces
Answers
1 pint is equal to 16 fo.
6 pints would be 96 fo.
Therefore, 6 pints is greater than 60 fo.
Enjoy.
Help please the circled ones
Answers
B. 12
C. 12
D. 6
Yw and have a nice day! :)
1) a yogurt shop has vanilla chocolate and strawberry blueberry and raspberry flavors served in small medium or large cups. How many different yogurt choices are possible.
a)30 b)15 c)8 d)2
2) mr.Jefferson has 20 students in his class he wants to send 4 of these students to pick up books for the class how many combinations of 4 students can he choose
a)80 b)5 c)4845 d)116,280
3)here is there sample spaces for three tossed of a coin (hhh,hht,hth,htt,thh,tht,tth,ttt)
a)0.25 b)0.375 c)0.125 d)0.333
4) the table shows the results of a spinning spinner several times what is the experimental probability of spinning a c or a d
a)4/5 b)1/48 c)2/5 d)1/3
5)a bag contains 8 black marbles 16 white marbles 14 red marbles and ten green marbles a marble is drawn at random from the bag what is the probability that the marble drawn will not be white
a)1/3 b)2/3 c)3/4 d)15/16