Answers
The first step to solving almost any problem is to understand what the question is asking and what is given to us in order for us to solve for the question. In this problem, we are given a graph and asked two questions. One being what the coordinates of the vertex are and whether this parabola has a maximum or a minimum.
Let's define what a vertex, maximum, and minimums are.
Vertex ⇒ Vertex is the point at which it either reaches the maximum or minimum. This point can be easily defined as where the slope becomes flat.Maximum ⇒ Maximum occurs when the vertex is at the top and the lines go down in a negative-y-direction. Therefore with the vertex being at the top that would be considered a maximum as it's the largest point in the graph.Minimum ⇒ Minimum occurs when the vertex is at the bottom and the lines go up in a positive-y-direction. Therefore with the vertex being at the bottom that would be considered a minimum as it's the smallest point in the graph.Now, looking at our problem we can see that our vertex is at the bottom therefore it would classify as a minimum. Now that we know we have a minimum vertex, let us determine what the actual coordinates of the vertex are.
We can see that we travel -3 in the x direction and -5 in the y direction which means that the coordinate for our vertex is (-3, -5) where the first number represents the x-value and the second number represents the y-value.
Answer:
(-3, -5)
Step-by-step explanation:
Here the vertex is also the minimum value; its x-coordinate is -3 and its y-coordinate is -5. Thus, the vertex is at (-3, -5). As stated above, this is the minimum value of the function.
Related Questions
an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground
Answers
The angle of depression from the aeroplane to the ground will be 30 degrees.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 kmThe angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
The train at the zoo holds 36 people. Each row of seats in the train holds 4 people. How many rows of seats are there in the train?
Answers
0=x^2- 10x+10
Rewrite the equation by completing the square
Answers
[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]
Segment GH is shown on the graph.
What are the coordinates of the point that divides the
segment into a 3:2 ratio?
O (-7.5, 0.5)
O (0.5, -7.5)
O (-1.2,-2.2)
O (-2.2,-1.2)
Answers
The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
How to determine the coordinate?The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]
This gives
[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]
Evaluate
[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]
Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
Read more about line segment ratio at:
https://brainly.com/question/12959377
#SPJ1
I need help to this equation Ive been stuck for awhile
Answers
Answer:
try 1500 in the top slot and 5 in the bottom slot
Step-by-step explanation:
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)
Answers
Function rule describes the translation OT_1-9(x, y)
What is translation?A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.
A square on a coordinate plane is translated 9 units down and 1 unit to the right.
Let's (x, y) be the coordinate.
where x be the horizontal move and y be the vertical move.
As, it is translated 9 units down and 1 unit right.
then
(x, y) = (x +1, y - 9)
and the translation be
(x, y ) = (x+1, y-9)
Learn more about this concept here:
https://brainly.com/question/12641072
#SPJ1
let a={1,2,3,4,5} number of functions f from A to A such that f(m) +f(n)=7 whenever m+n = 7
Answers
Answer:
Correct option is A)
A={1,2,3,4,5,6}
f:A→A
∴ Number of onto function=n!
=6!
=6×5×4×3×2×1
∴ Number of onto function=720
Step-by-step explanation:
It makes that every time we flip a fair the probability of flipping tails is
Answers
It makes that every time we flip a fair the probability of flipping tails is 50%.
What is the probability?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5
Probability of flipping tails = number of tails / number of sides
1/2 = 0.5 = 50%
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
you put $2012 into an account earning 4.345% interest compounded daily. find the amount in the account at the end of 8 years
Answers
y = 2012(1+(0.0435/365))^365(8)
plug into calculator
answer: $2849.4
In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
Answers
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
2/3 of a number is 48. What is 1/4 of the number ?
Answers
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
What value is missing from the table ?
Answers
Answer:
17 Gallons
Step-by-step explanation:
From the table, it is given:
1 gallon = $1.05
$1.05 = 1 gallon
$1 = [tex]\frac{1}{1.05}[/tex] gallons
$17.85 = [tex](\frac{1}{1.05} )(17.85)\\= 17 gallons[/tex]
Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85
Answers
Answer:
8^5
Step-by-step explanation:
division is just minusing exponents
The correct value of this expression is 8⁵
A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.
Resolution = 8⁸/8³= 8⁸÷³= 8⁵Therefore, the answer correct is 8⁵
The product of a number and 2 is 1. Find eight times the number.
Answers
Answer:
I would think that it would be 8
Step-by-step explanation:
1-2= (-1)= -1+2=1
I think it's 8. 8 times the number of 1 is well...8.
Step-by-step explanation:
x = the number
x * 2 = 1
soooo x = 1/2
then 8 * 1/2 = 4
Which graph represents the function f(x))=2•(1/3)^x
Answers
Answer:
The one in the right top hand corner. It shows one arrow pointing up and one to the right.
Step-by-step explanation:
I can't really explain it.
Juan plays 2 hours of video games per day. How many hours does he play in 6 days?
Answers
6 days = 2 * 6 = 12 hours
You have to multiply hours he plays per one day with 6 days.
You have two sticks. each stick has one blue side and one pink side. you throw the sticks 10 times and record the results. use the table to find the experimental probability of the event.
1. tossing 2 pink
2. tossing 1 blue and 1 pink
3. not tossing all pink
outcome | frecuency
2 blue | 1
2 pink | 3
1 blue, 1 pink | 6
Answers
Answer:
1. 30%, 2. 60%, 3. 70%Step-by-step explanation:
According to table the total frequencies is:
1 + 3 + 6 = 10Probability = Favorable outcome frequency / total frequency
Find each probability according to equation above:
1. P(2 pink) = 3/10 = 30%2. P(blue and pink) = 6/10 = 60%3. P(not all pink) = (10 - 3)/10 = 7/10 = 70%The experimental probability of the event are: 3/10; 3/5; 7/10.
Experimental probabilityFrequencies=1 + 3 + 6
Frequencies = 10
Hence:
Tossing 2 pink:
P(2 P) = 3/10
P(2 P) =30%
Tossing 1 blue and 1 pink:
P(B and P) = 6/10
P(B and P)=60% or 3/5
Not tossing all pink:
P(not all P) = (10 - 3)/10
P(not all P)= 7/10
P(not all P)=70%
Therefore the experimental probability of the event are: 3/10; 3/5; 7/10.
Learn more about experimental probability here:https://brainly.com/question/430568
#SPJ1
PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!
Answers
Answer:
First is b; because [B1] is [A1] multiplied by -4
Second is c; because [C2] = 7[B1] + [B2]
What is the answer for this question
__ hundreds= 90 tens
Answers
Step-by-step explanation:
One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900
Is 4,-1 a solution to y+1=3(x-4)
Answers
Answer
I don’t quite understand what your asking but I hope this helps
y=3x-13
Step-by-step explanation:
For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
Answers
Answer:
So first we substitute -2 for x
f(-2) = 10(-2)^2 - 4(-2) - 5
f(-2) = 400 + 8 - 5
f(-2) = 400 + 3
f(-2) = 403
Step-by-step explanation:
the ___ of an acute angle of a right triangle is the ratio if the length of the adjacent leg to the length of the hypotonuse
Answers
Answer:
cosine
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the answer to this question. It tells you ...
Cos = Adjacent/Hypotenuse
__
The cosine of an acute angle is the ratio of the adjacent leg to the hypotenuse.
What is the value of t?
1.4t - 0.4(t-3.1) = 5.8
enter the answer as a decimal in the box.
Answers
Answer:
4.56
Step-by-step explanation:
After this equation is simplified, it is solved the way any 1-step linear equation is solved.
__
1.4t -0.4(t -3.1) = 5.8 . . . . . . given
1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses
t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)
t = 4.56 . . . . . . . . . .subtract 1.24
4.56 is the answer
I got 100% on the quiz
I hope this helps
Please Brainliest
Proof my answer is correct and not Incorrect
What is the value of the expression below when y=2 6y^2 +8y-9
Answers
Answer:
6y^2+7
Step-by-step explanation:
when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.
The value of the expression 6y² + 8y - 9 at y = 2 is 31.
What is substitution?Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.
Given, An expression 6y² + 8y - 9.
Now, The value of the expression at y = 2, can be obtained by replacing
y = 2.
Therefore, 6(2)² + 8(2) - 9.
= 6(4) + 16 - 9.
= 24 + 16 - 9.
= 40 - 9.
= 31.
So, The value of the expression at y = 2 is 31.
learn more about substitution here :
https://brainly.com/question/19516092
#SPJ2
Need urgent help!! It would be really appreciated if someone could help!!
Answers
Answer:
[tex]C)~ 10.06~ m[/tex]
Step-by-step explanation:
[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]
Does this graph represent a function? Why or why not?
OA. Yes, because it passes the vertical line test.
OB. Yes, because it is a curved line.
OC. No, because it is not a straight line.
OD. No, because it fails the vertical line test.
Answers
This graph represents a function Because it passes the vertical line test.
Let us first understand the Vertical Line Test.
In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.
If there exists a line that intersects the graph, we say the graph passes the vertical line test.
What is the vertical line test?
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
Hence this graph passes the vertical line test because there are many vertical lines that intersect it.
To learn more about the vertical line test visit:
https://brainly.com/question/1821791
#SPJ1
Find the measure of angle b.
29°
61
71
141
151
Answers
Subtract 90 minus 29. You get 61°
Making sense?
PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?
Answers
Answer:
See below ~
Step-by-step explanation:
Applying section formula :
⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.
In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem
Answers
A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.
What is a presentation?A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.
In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.
Read more on presentation here: https://brainly.com/question/10545084
#SPJ1
Complete Question:
Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?
A. the overview of the situation
B. a solution to the problem
C. an effect of the solution
D. an effect of the problem
Answer:
B - a solution to the problem
took on edge
You deposit $150 into an account that yields 2% interest compounded quarterly. how much money will you have after 5 years?
Answers
Answer:
2 divided by 100 multiply 150