The minimum point of a parabola is its vertex.
The equation of the parabola is [tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex]
The minimum point of the parabola is given as:
[tex]\mathbf{Minimum = (1.5,-1.5)}[/tex]
This represents the vertex (h,k).
So, we have:
[tex]\mathbf{(h,k) = (1.5,-1.5)}[/tex]
A parabola is represented with the following equation
[tex]\mathbf{y =a(x -h)^2 + k}[/tex]
Substitute values for h and k
[tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex]
Hence, the equation of the parabola is [tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex], where a does not equal to 0
Read more about parabolas at:
https://brainly.com/question/4074088
when the product (3x-2) (2x^2 + 7x-1) is found,
what is the coefficient of the linear term?
The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11
Given the functions (3x-2) (2x^2 + 7x-1)
Taking the product of the functions will give:
(3x-2) (2x^2 + 7x-1) = 3x(2x^2) + 3x(7x) + 3x - 4x^2 - 14x + 2
(3x-2) (2x^2 + 7x-1) = 6x^3+21x^2 -11x - 4x^2 + 2
(3x-2) (2x^2 + 7x-1) =6x^3+17x^2 - 11x + 2
The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11
Learn more here: https://brainly.com/question/19005279
Hurry & help me out for a Brainlist but please add explanation
Answer:
i cant really understand what its asking but heres how to do it,
Step-by-step explanation:
you want to plug the y, either 36 56 or 76 into where it says y=
then you do the same with the corresponding x intercept and then do basic algebra
f(x)=4x+11 If f(x) = -1 what is the value of x
Answer:
Since both equations equal to f(x), you can set 4x+11 equal to -1 and solve for x.
4x+11=-1
Subtract 11 from both sides.
4x=-12
Divide both sides by 4.
x=-3
:)
SEND HELP PLEASE I BEG YOU
Answer:
Linear function, zero slope
Step-by-step explanation:
Definition of a horizontal lineA horizontal line neither rises nor falls and has a zero slope. Hence, the equation y = mx + b becomes y = b, where b is the y-intercept. The selected option for the equation of the given graph is correct, that y = 5.
Definition of a functionA function is a relation where any x-coordinate cannot be paired with more than one y-coordiante. Consequently, if a graph contains two or more different points with the same first coordinate, the graph cannot represent a function.
Vertical line testA great way to test whether a given graph represents a function is by performing the vertical line test. The vertical line test states that if each vertical line drawn intersects the graph at exactly one point, then the relation is a function.
Attached is an edited screenshot of the given graph, showing the results of the vertical line test. The given graph is a function since each vertical line crosses the graph at most once. This implies that each x-coordinate corresponds to exactly one y-coordinate.
Therefore, the given graph represents a linear function with a zero slope.
Please help bro im stuck on this for hours, ill give u so much points
100 points if u get this right ty have a nice day !
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Find the distance from point A to the given line.
1. A(−1, 7), y = 3x
and
2. A ( − 1 — 4 , 5 ), −x + 2y = 14
Answer:
The shortest distance from a point to a line is the perpendicular from the line to the point
The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;
-x + 2·y = 14
2·y = 14 + x
y = 14/2 + x/2 = x/2 + 7
y = x/2 + 7
The slope, m₁ = 1/2 and the y-intercept = 7
Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2
Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2
The equation of the line is therefore;
y - 5 = -2(x - (-1/4))
y - 5 = -2·x - 1/2
y = -2·x - 1/2 + 5 = -2·x + 9/2
y = -2·x + 9/2
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;
-2·x + 9/2 = x/2 + 7
9/2 - 7= x/2 + 2·x
-2.5 = 2.5·x
x = -2.5/2.5 = -1
x = -1
y = x/2 + 7 = -1/2 + 7 = 6.5
y = 6.5
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)
The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;
Where;
(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)
Plugging in the values, we have;
Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations
represents the total cost y of a ride that is x miles long.
Answer:
y = 1.50x + 5.50
Step-by-step explanation:
2x=1.6-1.2 what is x?
Answer:
0.2
Step-by-step explanation:
First you need to do 1.6-1.2 which is 0.4 so now you know 2x=0.4 you need to divide 0.4 by 2 which is 0.2 hope this helps
milagros observa la maqueta del proyecto inmobiliario para un centro de capacitacion destinado a estudiantes universitarios que deseen hacer sus practicas preprofesionales en comunidades del interior de nuestro pais y necesiten conocer mas sobre ellas . en la maqueta el largo del terreno sobre el que se realizara la construccion mide 90cm , lo que en la realidad mide 45m ¿ que escala se ha utilizado en la elaboracion de la maqueta?
Queremos encontrar la escala que se ha utilizado para la elaboración de la maqueta.
Veremos que la escala utilizada es 1cm = 0.5m
Para encontrar la escala, tenemos que ver la relación entre la medida de la maqueta y la medida real.
Sabemos que:
largo en la maqueta = 90cmlargo real = 45mLo que tenemos que ver es cuanto representa cada centimetro en la maqueta.
Asi, tenemos la relación:
90cm = 45m
90cm/90 = 45m/90
1cm = 0.5m
Es decir, cada centimetro en la maqueta representa 0.5 metros en la realidad, es decir, la escala utilizada es:
1cm = 0.5m
Sí quieres aprender más, puedes leer:
https://brainly.com/question/17447887
EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!PLEASE HELP MEEEE!!!!
Answer: x=-5
The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.
Solve for x.
X-2=7+x
Answer:
no solutions
Step-by-step explanation:
x-2=7+x
Subtract x from each side
x-2-x = x+7-x
-2 =7
This is never true so there are no solutions
HI GUYS I HAVE ONE MORE HEHEHEHE....
TYSMM
(U DONT HAVE TO ANSWER IF U DONT KNOW BOTH )
Answer:
OPTION D, IS THE CORRECT ANSWER IN BOTH
Please help me on this!
Jack has an insurance policy with a premium of $20 per month. In March, he's in an accident and receives a bill with a total cost of $1,500. His deductible is $500, and his coverage limit is $1000. How much total money will Jack pay for the accident in March?
Question 5 options:
$1500
$3000
$500
$20
$1000
Answer:
Step-by-step explanation:
The 7th grade class is raising money to have a class trip at the end of the year. The began the year with $2500. Now they have $4750 in the account. WhT is the percent increase for the money the class has raised? The class figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much will the need to pay for every student?
Answer:
2.7%
Step-by-step explanation:
Your school is planning a held trip to the 200. There are two different bus companies that the school can use. The school wants to know how many students,' s will need to go in order for Bus 8 to be more expensive than Bus A Bus A costs $40 rental fee plus $4 for each student. Bus B costs a $100 rental fee plus $2 for each student
Answer:
for bus A if there is OVER 40 studentsbus b will cost less
There are 52 cards in a deck. If there are 4 suits with each having a jack, king, and queen, what is the probability of picking out a jack, king, or queen from the deck?
In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So probability of drawing a good card is (4+4+4)/52 = 12/52 = 3/13.
ANSWER: 3/13
Hey guys could someone help me please?
please i need this asap!!
thanks so much omgg
Answer:
convert the grams to kg
500g = 0.5
100g = 0.1
divide cost by quantity
7.49 / 1 = 7.49$ per bag
3.99 / 0.5 = 7.98$ per bag
0.79/0.1 = 7.9$ per bag
the cheapest is $7.49 which is 1kg bag of flour for 7.49$, that will be your answer
Given a set of data with mean of 12 and variance of 84. When each of the data is added with p and multiply with q, the new mean is 51 and the new variance is 756. Find the value of p and of q.
Applying statistical concepts, it is found that the values are:
p = -11.37q = 81When a constant is added to each data in a variable:
The mean is incremented by this constant.The variance remains constant.When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant.The variance is multiplied by the square of this constantHence, mean of 12, added with p and multiplied with q, for a mean of 51:
[tex](12 + p)q = 51[/tex]
Variance of 84, after the operations, 756:
[tex]84\sqrt{q} =756[/tex]
[tex]\sqrt{q} = \frac{756}{84}[/tex]
[tex]\sqrt{q} = 9[/tex]
[tex](\sqrt{q})^2 = 9^2[/tex]
[tex]q = 81[/tex]
For p:
[tex](12 + p)q = 51[/tex]
[tex](12 + p)81 = 51[/tex]
[tex]12 + p = \frac{51}{81}[/tex]
[tex]12 + p = 0.63[/tex]
[tex]p = -11.37[/tex]
A similar problem is given at https://brainly.com/question/24097242
please explain your answer and dont put any websites or not the answer
Answer:
x=125º
2x=250º
Step-by-step explanation:
720 is the sum of the interior angles of a Hexagon
720=60+65+120+100+3x
720=345 +3x
-3x=345-720
-3x=-375
-x=-125
x=125
Answer:
x= 125
2x= 250
Step-by-step explanation:
720-120-100-65-60=375
x is slightly bigger than 120 so I made it 125
and 2x is huge so it was obviously the remainder which is 250
What’s the slope of this graph
Answer:
The slope in this graph is 6
-2 I think
I hope this helped
Write the equation for the line that goes through point (, ) with slope = −2
slope = −2
Once you know the slope of the line, plug it in for m in y = mx +
Step-by-step explanation:
PLEASE HELP ME!! Find the unit rate of y= -4x. Explain how you came up with the answer.
Answer:
The unit rate is -4
Step-by-step explanation:
For each increase of 1 unit in x there is a change of -4 in y
Which of the following is not a function? Click on the graph until the correct graph appears.
Answer: The first/ third one
Step-by-step explanation:
This graph shows how the total number of appetizer recipes Jonathan knows depends on the number of weeks he attends Appetizer recipes Jonathan knows Number of appellzer recipes Number of weeks Write the constant of variation of the above graph in the empty box. Answer: appetizers per week.
0.45 + 12.518 equals what ( show ur work or explain how u got the answer)
What would you round to 3.9
Answer:
4
Step-by-step explanation:
3.9 rounds to 4
hope this helps! :)
Please answer this:
27+4×(8−4)
[tex]43[/tex]
hope it helps!Find the value of x.
Which of the graphs represents the solution. Please answer this question asap!
Step-by-step explanation:
-8 < -4x ≤ 12
-8/-4 < x ≤ 12/-4
2 < x ≤ -3
x ≤ -3 or x > 2
Option → A
