The quadratic formula provides us with valuable information about the graph of a Quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
The quadratic formula can be used to determine the roots or solutions of a quadratic equation. It can also provide information about the graph of a quadratic function.
The quadratic formula provides us with two solutions for a quadratic equation. The solutions may be real or complex depending on the value of the discriminant.
The discriminant is the term under the radical in the quadratic formula and is represented by b² - 4ac. If the discriminant is positive, there are two real solutions, which means that the quadratic function intersects the x-axis in two distinct points.
If the discriminant is zero, there is one real solution and the quadratic function intersects the x-axis at one point. In this case, the quadratic function is said to have a double root or a repeated root.
If the discriminant is negative, there are no real solutions and the quadratic function does not intersect the x-axis. Instead, it has two complex solutions, which correspond to two imaginary x-intercepts.
In this case, the quadratic function opens up or down and has a minimum or maximum value, depending on the sign of the coefficient a. If a is positive, the graph opens up and has a minimum value.
If a is negative, the graph opens down and has a maximum value. The vertex of the parabola is located at the point where the axis of symmetry intersects the parabola.
The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two congruent halves. The quadratic formula can also be used to find the coordinates of the vertex of the parabola.
The x-coordinate of the vertex is given by -b/2a, which is the axis of symmetry. The y-coordinate of the vertex is obtained by substituting this value of x into the quadratic function.
Therefore, the quadratic formula provides us with valuable information about the graph of a quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
For more questions on Quadratic function.
https://brainly.com/question/25841119
#SPJ8
What is π is it a rational or irrational
Answer:
π ≈ 3.14
Irrational
Step-by-step explanation:
π is a never ending decimal. Therefore, it is an irrational number.
Answer:
Irrational
Step-by-step explanation:
PI is infinite, so it is irrational.
Help me please on this question
Answer:
7+4=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
It tells us that a=7
So the problem converts to:
7+4
7+4=11
A trampoline gym charges $6 for
1
2
of an hour. At that rate, what does 1 hour cost?
Answer:
12
Step-by-step explanation:
i took the test hope it your happy
f(x) = x² + 7
X(-2) =
Answer:
hope it will help you
Step-by-step explanation:
f(x)=x²+7
X(-2)=?
therefore X(-2)=(-2)²+7
=4+7
=11
The public library has to move 42,000 books to its new location. The movers can pack an average of 45 books in every box. The truck that the movers are using holds 250 boxes. How many boxes will the library need? How many trips will the movers need to make with the truck?
Answer:
934boxes 4 tripsStep-by-step explanation:
Given the total number of books 42,000
Ok, firstly let us calculate the number of boxes required, given that a box can contain 45 books
number of boxes= 42,000/45
number of boxes=933.3 boxes
approximately 934boxes
Also, given that the truck can carry online 250 boxes in one trip
then it must make 934/250= 3.7 trips
approximately the truck will make 4 trips to carry all the boxes
Answer:
Step-by-step explanation:
If f(x) = 2х2 +1, what is f(x) when x = 3?
оооо
19
Answer:
f(3) = 19
Step-by-step explanation:
Step 1: Define
f(x) = 2x² + 1
x = 3
Step 2: Substitute and Evaluate
f(3) = 2(3)² + 1
f(3) = 2(9) + 1
f(3) = 18 + 1
f(3) = 19
bobby descended 23 meters he then decided to descend another 11 meters write an integer to represent the total depth bobby descended
Answer:
23 + 11 = 34
Bobby descended 34 meters
Answer:
23 is an integer
another 11 is an integer
23+11 = 34
total depth descended is 34.
Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Please i wont a verified answer
Answer:
the answer is g(x)=18x
Did I graph this correct according to the problem?
Answer: Not sure
Step-by-step explanation: Mathaway is a great math source for graph questions and algebra. Its literally how I passed all my math classes.
PLS HELPPP! DUE TODAY!!!
Directions: express your final answer in scientific notation. (I only need help on 11., A., B., and C.!)
Answer:
Its A
Step-by-step explanation:
3.2 + 4.2= 7.4
10^5 x 10^8 = 10^13
Since your final answer is in scientific notation, its 7.4 x 10^13
Find the distance between point A (2, -4) and point C (14,1)
One-half of the members in an orchestra are string instrument players. One-third of the string instrument players are violinists. The orchestra has 48 members. How many violinists does the orchestra have?
At the beginning of the day the stock market goes down 60 1/4 points and stays at this level for most of the day. At the end of the day the stock market goes up 90 1/2 points from the low at the beginning of the day. What is the total change in stock market from the beginning of the day to the end of the day?
Answer:
30 1/4
Step-by-step explanation:
At the beginning day of the day the stock market goes down to 60 1/4 points
At the end of the day the stock market increased to 90 1/2 points
Therefore the total change in stock market from beginning of the day to end of the day can be calculated as follows
= 90 1/2 - 60 1/4
= 181/2 - 241/4
= 121/4
= 30 1/4
Hence the total change in stock market is 30 1/4
is this a unique triangle or more than one triangle? two angles measure 42° and 77°. the side between the angles is 4ft long.
Solve the equation v^3=80
Answer:
4.31
Step-by-step explanation:
Find the cube root of both sides of the equation.
[tex]^3\sqrt{v^3}[/tex] = [tex]^3\sqrt{80}[/tex]
The cube root will cancel out the cubed in the variable.
v = [tex]^3\sqrt{80}[/tex]
Find the cube root of 80. I rounded to the nearest hundredth.
v = 4.31
Answer: [tex]v=2\sqrt[3]{10}[/tex] or 4.3
Step-by-step explanation:
Step 1 Take the cube root of both sides.
[tex]v=\sqrt[3]{80}[/tex]
Step 2 Simplify [tex]3\sqrt{80}[/tex] to [tex]2\sqrt[3]{10}[/tex]
[tex]v=2\sqrt[3]{10}[/tex]
Decimal Form: 4.3
pleaaeeeeeeee helllppppppp
jack father 4 times old his son five years later both age diffrence is 10 find both age.
Step-by-step explanation:
Let Jack's present age be x
Hence, his fathers present age=4x
Jacks age after 5 years= (x+5)
Jacks Fathers age after 5 years= (4x+5)
We know.. that the difference between their ages fives years later is 10.. hence
4x+5-(x+5)=10
4x+5-x-5=10
3x = 10
x= 3.3 years old...
Hence,
Jacks present age = 3.3 years
Fathers present age= 13.2 years...
Hope it helps .. I know that the answer comes in decimals... but the questions' like that..
Solve for x.
9x+ 28 = 5 (x+ 8)
Simplify your answer as much as possible.
Answer:
9x+ 28 = 5 (x+ 8)
9x+28 = 5x+40 (use distribution property)
4x+28 = 40 (subtract 5x when bringing to the other side)
4x = 40-28 (subtract 28 when bringing to the other side)
4x = 12
x = 12/4 (divide)
x = 3
[tex]\tt Step-by-step~explanation:[/tex]
When we solve for x, we have to move all the numbers that do not contain the variable on one side, and keep x on the other side. In other words, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
Equation: 9x + 28 = 5 (x + 8)
Using PEMDAS*, we will distribute the 5 to x + 8.
[tex]\tt 5(x+8)\\5x+40\\9x+28=5x+40[/tex]
[tex]\tt Step~2:[/tex]
Then, let's subtract 28 from the left side of the equation to cancel the 28, then do the same thing on the right side.
[tex]\tt 9x+28(-28)^{**}=5x+40(-28)^{**}\\9x=5x+12[/tex]
[tex]\tt Step~3:[/tex]
Subtract 5x from both sides to bring it to the left side of the equation.
[tex]\tt 9x(-5x)=5x(-5x)+12\\4x=12[/tex]
[tex]\tt Step~4:[/tex]
Finally, we can divide both sides by 4 to get x by itself.
[tex]\tt \frac{4x}{4} =x\\\frac{12}{4}=3\\ x=3[/tex]
[tex]\large\boxed{\tt Our~final~answer:~x=3}[/tex]
*PEMDAS + Parentheses first, then Exponents, then Multiplication/Division, and finally Addition/Subtraction.
**The numbers in parentheses here tell you to ADD/SUBTRACT, not multiply.
Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.
In 2x2y8
In 2x2y = (Simplify your answer.)
Answer:
ln 2 + 2 ln x + 8 ln yStep-by-step explanation:
Use of properties
log ab = log a + log blog a^b = b log aGiven expression
In 2x^2y^8Simplifying
In 2x^2y^8 =ln 2 + ln x^2 + ln y^8 =ln 2 + 2 ln x + 8 ln yA town of population 2000 doubles every five years. How long will it take the town to
reach 20,000?
A- 15.3 years
B- 16.6 years
C- 18.2 years
D- 10 Years
Step-by-step explanation:
Year 1 = 2000
Year 5 = 4000
Year 10 = 8000
Year 15 = 16000
Year 20 = 32000
5 years = 16000
1 year = 16000/5
1 year = 3200
16000 (15yrs) + 3200 (1yr) = 19200
6/10 × 3200 = 0912
16000 (15yrs) + 3200 (1yr) + 912 (.6yr) = 20112
Possible ans = B
Did it mentally so pardon me if i made any mistakes... dont take my ans for it but check ot over.
Which statement about this mapping is true?
The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
The mapping does not represent y as a function of x, because there are more x-values than related y-values.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
The mapping does not represent y as a function of x, because 3 x-values are related to 1 y-value.
Answer:
c. The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
Step-by-step explanation:
A mapping can be considered to be a function if any of the following conditions met:
1. Every x-value has exactly only 1 possible y-value mapped to it.
2. Two or more x-values can be mapped to the same y-value provided each x-value is not having more than 1 y-value. That is, provided condition 1 is maintained.
Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.
However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.
Therefore the mapping represents y as a function of x.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
A mapping can be considered to be a function if any of the following conditions met:
Condition : Mapping denotes the relation from Set A to Set B. Relation from A to B is the subsets A[tex]\times[/tex]B. Mapping the oval on the left-hand side denotes the values of Domain and the oval on the right-hand side denotes the values of Range.
1. Every x -value has exactly only 1 possible y-value mapped to it. 2. Two or more x-values can be mapped to the same y-value provided each x-value is not having more than 1 y-value. That is, provided condition 1 is maintained.Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.
However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.
Therefore the mapping represent y as a function of x.
For more information follow the link gives below
https://brainly.com/question/19717685
6.051x10^5 in standard form
Answer:
605100
Step-by-step explanation:
= 6.051 × 105
(scientific notation)
= 6.051e5
(scientific e notation)
= 605.1 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 605100
(real number)
Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles, what is the ratio of green to red marbles?
Answer: 3:1
Step-by-step explanation:
Those that aren’t red are green, so there are 33 green marbles (44-11). That would be 33:11, which can be reduced (divide by 11).
4. What is the x-intercept of 4y - 9x = 72?
Answer:
(-8,0)
Step-by-step explanation:
Answer:
(-8,0)
Step-by-step explanation:
[tex]4y - 9x = 72[/tex]
Let y equal 0
[tex]4(0) -9x =72\\0-9x=72\\\\-9x=72\\\\\mathrm{Divide\:both\:sides\:by\:}-9\\\frac{-9x}{-9}=\frac{72}{-9}\\\\Simplify\\x=-8\\\\\\(-8,0)[/tex]
help me please very confused
Answer:
29+409+411+413
Step-by-step explanation:
I think S is the 11+13+15.
La máxima inclinación recomendada para una autopista es de 12%, es decir, en su inclinación máxima la autopista cambiaría 12 metros verticalmente por cada 100 metros de cambio horizontal
¿Que ecuación se genera en la carretera que tiene estas características?
Answer:
uhhh wut now
Step-by-step explanation:
According to the information we can infer that the equation for the road with a maximum incline of 12% can be expressed as y = 0.12x, where 'y' represents the vertical change in meters and 'x' represents the horizontal change in meters.
What equation is generated on the highway that has these characteristics?In the given scenario, the maximum recommended incline for a highway is 12%, which means the road changes 12 meters vertically for every 100 meters of horizontal change.
To represent this relationship mathematically, we can use the equation of a straight line, which is
y = mx,
where
'm' is the slope of the line.
In this case, the slope corresponds to the vertical change (rise) divided by the horizontal change (run), which is 12 meters divided by 100 meters, or 0.12.
Thus, the equation for the road with these characteristics is y = 0.12x, where 'y' represents the vertical change in meters and 'x' represents the horizontal change in meters.
Learn more about equations in: https://brainly.com/question/33622350
#SPJ1
Note: This question is in Spanish. Here is in English
The maximum recommended inclination for a highway is 12%, that is, at its maximum inclination the highway would change 12 meters vertically for every 100 meters of horizontal change.
What equation is generated on the highway that has these characteristics?
6. A plane that carries mail makes a round trip each day from Chicago to New York.
It makes 1 intermediate stop on the way to New York and 1 intermediate stop on
the way back to Chicago. Suppose you make a graph of the altitude of the plane
for one day, with time on the horizontal axis and altitude on the vertical axis. How
many times will the graph touch the horizontal axis?
A5
B 7
C 2
D4
Answer:
7
Step-by-step explanation:
The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
The graph will touch the horizontal axis (i.e., the ground level) four times during the round trip.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
First, the plane will take off from the Chicago airport, which is at ground level, so the graph will start at the horizontal axis.
Second, the graph will touch the horizontal axis again when the plane lands at the intermediate stop on the way to New York.
Third, the graph will touch the horizontal axis a third time when the plane lands at the intermediate stop on the way back to Chicago.
Fourth, the graph will touch the horizontal axis again when the plane lands back in Chicago at the end of the round trip.
Therefore, the answer is D) 4.
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ7
PLEASE HELP!! MATH FINAL
Answer:
12 dimes, 8 nickels
Step-by-step explanation:
1. Set up an equation. Since we know the relationship between how many dimes and how many nickels that he has, we can create values for them.
2. Say that the number of nickels is x, so the number of dimes would be 2x-4.
3. Since we know that all of the coins that he has is 20 coins, we can say that 2x-4+x=20.
4. Solve the equation. We get 3x=24, and x=8.
5. That means that the number of nickels is 8, and the number of dimes is 2(8)-4, which is 12.
Answer: Timmy has 12 dimes and 8 nickels.
15r + 8 = 11r - 20 solve for r and show your work in rows
Answer:
r=-7
Step-by-step explanation:
[tex]15r - 11r = - 20 - 8[/tex]
[tex]4r = - 28[/tex]
[tex]r = - 28 \div 4 = - 7[/tex]
Answer:
r= -7
Step-by-step explanation:
15r+8=11r-20 (minus 11r from both sides)
4r+8=-20 (minus 8 from both sides)
4r = -28 (divide both sides by 4)
r= -7
2. Janice and Jasmine were each given a piece of ribbon of equal length. Janice cuts her ribbons into equal lengths of 2 m, while Jasmine cuts her ribbons into equal lengths of 5 m. If there was no remainder in both cases, find the shortest possible length of ribbon given to them.
Answer:
10m.
Step-by-step explanation:
Since there is no remainder we simply need to find the least common multiple of each of the lengths of Janice and Jasmin's strings until we find a multiple that matches for each. Like so...
2*1 = 2 5*1 = 5
2*2 = 4 5*2 = 10
2*3 = 6
2*4 = 8
2*5 = 10
Finally, we have found the first common multiple which is 10m. That means that the shortest equal length for both Janice's and Jasmin's ribbon is 10m.
Class A has 9 pupils and class B has 12 pupils.
Both classes sit the same maths test.
The mean score for class A is 35.
The mean score for both classes is 69.
What is the mean score (rounded to 1 DP) in the maths test for class B?
