Answer:
x=3+√2 or x=3−√2
Step-by-step explanation:
For this equation: a=1, b=-6, c=7
1x2+−6x+7=0
Step 1: Use quadratic formula with a=1, b=-6, c=7.
x=
−b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(7)
2(1)
x=
6±√8
2
x=3+√2 or x=3−√2
The end points of ab are A (-7,3) and B (1,0) find the coordinates of the midpoint M.
Answer: M(-3,1.5)
Step-by-step explanation:
A(-7,3) B(1,0)
\(\displaystyle\\M(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2} )\\\\M(x,y)=(\frac{-7+1}{2},\frac{3+0}{2} )\\\\M(x,y)=(\frac{-6}{2},\frac{3}{2} )\\\\M(x,y)=(-3,1.5)\\\\Thus,\\\\M(-3,1.5)\)
Please answer this as soon as possible thank you I appreciate it
What is the volume of the sphere below?
Use the formula V=
9 cm
A 339.12 cm
B 3,052.08 cm
C 37.68 cm
a
A
ООО
B
c
C
Answer:
.......B......
Step-by-step explanation:
.
.
.
.
.
.
uppose the probability of an unsuccessful missile launch is 0.3. If missiles continue to be launched until an unsuccessful launch occurs, what is the probability that exactly 4 total launches will be performed (round off to first decimal place)
The probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%
The probability of exactly 4 total launches being performed until an unsuccessful launch occurs, we can use the geometric probability formula.
In this case, the probability of a successful launch (p) is 0.7 (since the probability of an unsuccessful launch is 0.3). We want to find the probability of 4 successful launches followed by an unsuccessful launch.
The probability of exactly 4 successful launches followed by an unsuccessful launch can be calculated as follows:
P(4 successful launches followed by an unsuccessful launch) = (p⁴) × (1-p)
P(4 successful launches followed by an unsuccessful launch) = (0.7⁴) × (1-0.7)
P(4 successful launches followed by an unsuccessful launch) = 0.7⁴ × 0.3
P(4 successful launches followed by an unsuccessful launch) = 0.2401 × 0.3
P(4 successful launches followed by an unsuccessful launch) ≈ 0.0720
Therefore, the probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%
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Alejandro has just gotten a new job. The relationship between the number of hours he works, xx, and his total earnings, yy, is represented by the graph below.
A point (4,904,90) is labeled below. Which statement about the graph is true?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
(4 , 90)
The unit rate is 4 hours per dollar
The unit rate is 22.5 hours per dollar
The unit rate is $90.00 per hour
The unit rate is $22.50 per hour
The statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
How to find Unit RateUnit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.
Given that:
x = hours he worked
y = his total earnings
We are told that (4, 90) is a point on the graph.
Using the point, (4, 90), we can find the unit rate as shown below:
k = y/x = 90/4
k = 22.5
Therefore, the statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
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The coordinates of point T are (0,6). The midpoint of is (6,-6). Find the coordinates of point
Step-by-step explanation:
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fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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What is the appropriate equation used that would solve for x
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Find the value of x.
Helllppppppppppppppppppppppppppppp
Answer:
x=2
Step-by-step explanation:
(12x-23)(8x-15)
-8x -8x
(4x-23)(-15)
+23 +23
(4x)(8)
4/4 8/4
x=2
Tell whether the table shows a linear or nonlinear function. If it is a linear, is it increasing or decreasing?
What is the solution of the system of equations?
13x-6y=2
3x-4y=-10
(Write as ordered pair)
Step-by-step explanation:
let's multiply the first equation by 2 and the second equation by -3, and then we add them together :
26x - 12y = 4
-9x +12y = 30
-------------------------
17x 0 = 34
x = 2
and now we use one of the original equations to solve for y :
3×2 - 4y = -10
6 - 4y = -10
-4y = -16
y = 4
the solution is (2, 4).
Determine whether ABC or DEF is similar to XYZ.
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 12
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
From what I found, the answer is parallel
Step-by-step explanation:
not much of an explanation haha
The graph of the system of equations, 2x + y = 6 and 6x + 3y = 12 is: C. Intersecting lines
Note:
2x + y = 6 and 6x + 3y = 12 are two linear equations. Linear equations are straight lines.Graphed system of equations are always intersecting straight lines.Given that 2x + y = 6 and 6x + 3y = 12 is a system of equations, when both equations are graphed, it will give us two intersecting lines.
The coordinate of the point of intersection is the solution to the system of equations.
Therefore, the graph of the system of equations, 2x + y = 6 and 6x + 3y = 12 is: C. Intersecting lines
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write the function below in slope and show ALL the steps to getting the answers
we have the equation
\(x-\frac{1}{3}y=4\)the equation in slope-intercept form is
y=mx+b
so
Isolate the variable y in the given equation
step 1
subtract x both sides
\(\begin{gathered} x-\frac{1}{3}y-x=4-x \\ \\ -\frac{1}{3}y=4-x \end{gathered}\)step 2
Multiply by -3 both sides
\(\begin{gathered} (-3)\cdot(-\frac{1}{3}y)=-3(4-x) \\ y=-12+3x \\ y=3x-12 \end{gathered}\)For the following, find f(g(x)) and g(f(x)).
f(x) = 3x - 1
G(x) = 2x - 1/ x
Step-by-step explanation:
by comparing both f (x) and g (x)
we get
3x-1=2x-1/x
by this way we can get the value of X and put the value of X in f (x) and g (x)
Algebra 1
please explain if you can :)
Answer:
hey loser we meet hahh
your good but sorry i can say good but not very good cause its not true hah
What is the first step in solving a proportion?
A - Cross multiply
B - Divide
Answer:
a
Step-by-step explanation:
1.cross multiplication
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determine whether each of the following sets of quantum numbers for the hydrogen atom are valid. drag the appropriate items to their respective bins.
ml = 0 is valid so the sets of quantum numbers are validated or not validated as mentioned above.
Here are the given sets of quantum numbers for the hydrogen atom which need to be validated.
Set 1 (n=3, l=3, ml=0, ms=+1/2) - Valid or Not valid
Set 2 (n=2, l=1, ml=1, ms=-1/2) - Valid or Not valid
Set 3 (n=4, l=1, ml=0, ms=-1/2) - Valid or Not valid
The first step is to understand the set of quantum numbers. Each electron in an atom is assigned a set of four quantum numbers.
The four quantum numbers are: n, l, ml, and ms. The principal quantum number n, the angular momentum quantum number l, the magnetic quantum number ml, and the spin quantum number ms are the four quantum numbers that define the electron's state.
Set 1 (n=3, l=3, ml=0, ms=+1/2)
It is not valid because ml can be from -l to +l, and when l is 3, ml can be -3,-2,-1,0,1,2,3. So, the value of ml should be from -3 to +3.
Set 2 (n=2, l=1, ml=1, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 1 is valid.
Set 3 (n=4, l=1, ml=0, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 0 is valid.
Thus, the sets of quantum numbers are validated or not validated as mentioned above.
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7. The Waltz family are planning to repave their driveway. The length of their driveway is 7 feet
longer than its width. The area of the driveway is 144 square feet. Write a quadratic equation in
standard form representing the area of the driveway.
Find the dimensions of the driveway in feet.
Width
Length =
Answer:
Dimensions Of The Driveway is Length=16 Feet & Width=9 Feet
Step-by-step explanation:
According To Question,We Have Given
Length of Driveway Is 7 feet longer than its Width
Let the Width be X Feet . So Length is (X+7)Feet
Area Of Driveway = 144 sq. Feet
X * (X+7) = 144
\(X^{2}\)+7X=144
\(X^{2}\)+16X-9X-144=0
X(X+16)-9(X+16)=0
X = -16 & +9 (Neglect -16 because Width=X, that Can Never be in Negative)
So X = +9
Now Put this value, We get Width = 9 Feet & Length =16 Feet
If A and B are two independent events in certain sample space S,
then show that A^c and B^c are also independent where "c" denotes
the complement operator
P(A ∩ B) = P(A)P(B) and P(Ac ∩ Bc) = P(Ac)P(Bc).
The complement operator “c” refers to the inverse of an event. Therefore, for two independent events A and B in a sample space S, the inverse events Ac and Bc are also independent. This is because the probability of two independent events occurring is equal to the product of their individual probabilities. Therefore, the probability of two inverse events occurring is equal to the product of their individual probabilities.
Mathematically, this is expressed as follows: P(A ∩ B) = P(A)P(B) and P(Ac ∩ Bc) = P(Ac)P(Bc).
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Find Four Points contained in the inverse x=2||y||+1
The equation x = 2 ||y|| + 1 represents the inverse relationship between x and y. This equation can be graphed as a V-shaped curve that intersects the x-axis at x=1 and has its minimum value at x=1.
The absolute value symbol (||) ensures that the value inside the symbol is always positive. Thus, for any given value of x, there are four possible values of y that satisfy the equation.
To find four points contained in this equation, we can substitute different values of x and solve for y. Here are four possible points:
(1, 0): When x=1, y=0. This point is the minimum point on the curve and is located at the vertex of the V-shape.
(3, 1): When x=3, 2||y||=2, and ||y||=1. Solving for y, we get y=1 or y=-1. Therefore, (3, 1) and (3, -1) are both valid points.
(5, 2): When x=5, 2||y||=4, and ||y||=2. Solving for y, we get y=2 or y=-2. Therefore, (5, 2) and (5, -2) are both valid points.
(7, 3): When x=7, 2||y||=6, and ||y||=3. Solving for y, we get y=3 or y=-3. Therefore, (7, 3) and (7, -3) are both valid points.
These four points are all located on the V-shaped curve that represents the inverse relationship between x and y in the equation x = 2 ||y|| + 1. By understanding how to find points in this equation, we can better understand the relationship between x and y and how it can be graphed.
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one half times one third
Answer:1/6
Step-by-step explanation:
Es el valor de la incógnita en la siguiente igualdad: x/Sen30°= 8/Sen45°
Respuesta:
x = 5.656854249
Explicación paso a paso:
[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]
x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]
x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]
x = 5.656854249
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Reba has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 35 corsages and 29 boutonnieres, which brought in a total of $1,408. This year, she sold 24 corsages and 15 boutonnieres, for a total of $858. How much does each item sell for?
A corsage sells for $
, and a boutonniere sells for
The amount a corsage and a boutonniere sells for this year is taken as
the same as the amount they where sold last year.
The system of equations is presented as follows;
35·x + 29·y = 1,40824·x + 15·y = 858A corsage sells for $22, and a boutonniere sells for $22Methods uses to write a system of equationsLast year, she sold 35 corsages and 29 boutonnieres = $1,408
This year, she sold 24 corsages and 15 boutonnieres = $858
Required:
How much does each item sell for
Solution:
Let x represent the price of each corsages, and let y represent the price
of each boutonnieres sold, we have, the following system of equations;
35·x + 29·y = 1,408...(1)24·x + 15·y = 858...(2)Making y the subject of equation (1), gives;
\(y = \mathbf{\dfrac{1,408}{29} - \dfrac{35}{29} \cdot x}\)Therefore;
\(24 \cdot x + 15 \times \left(\dfrac{1,408}{29} - \dfrac{35}{29} \cdot x \right) = \mathbf{\dfrac{171\cdot x + 21120}{29}} = 858\)
171·x + 21120 = 858 × 29 = 24,882
171·x = 24,882 - 21,120 = 3,762
\(x = \dfrac{3,762}{171} = \mathbf{22}\)Therefore;
Each corsage sells for, x = $22\(y = \mathbf{\dfrac{1,408}{29} - \dfrac{35}{29} \times 22} = 22\)
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A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $35. If all the seats are sold, the gross revenue to the theater is $20,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700. How many are there of each kind of seat?
This question was not written properly
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700. How many are there of each kind of seat?
Answer:
Orchestra = X = 270 seats
Main = Y = 350 seats
Balcony = Z
Step-by-step explanation:
Let's represent number of sits in:
Orchestra = X
Main = Y
Balcony = Z
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating.
X + Y + Z = 600
X = 600 - Y - Z
Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $20,700.
Hence,
50× X + 35 × Y + $25 × Z = $20,700
50X + 35Y + 25Z = 20,700....... Equation 1
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,700.
50×1/2(X) + 35Y + 35Z = $17,700
25X + 35Y + 25Z = $17,700........ Equation 2
600 - Y - Z for X in Equation 1 and 2
Equation 1
50(600 - Y - Z) + 35Y + 25Z = 20,700
30,000 - 50Y - 50Z + 35Y + 25Z = 20,700
Collect like terms
30,000 - 20,700 = 50Y + 50Z - 35Y - 25Z
9,300 = 15Y + 25Z ......... Equation 3
From Equation 2
25(600 - Y - Z) + 35Y + 25Z= $17,700
15,000 -25Y - 25Z + 35Y + 25Z = 17,700
35Y - 25Y + 25Z - 25Z = 17,700 - 15,000
10Y + 0Z = 2,700.......
10Y = 2,700
Y = 2700/10
Y = 270
Hence:
15Y + 15Z = 9,300......... Equation 3
15(270) + 15Z = 9,300
4050 + 15Z = 9,300
15Z = 9300 - 4050
15Z = 5250
Z = 5250/15
Z = 350
X + Y + Z = 600
270 + 350 + Z = 600
Z = 600 - 270 - 350
Z =
Solve Ax = By = C for x.
(9th-grade Algebra 1)
\(question : Ax - By = C \: \: for \: x. \\ \\ answer : x \: = \frac{ By + C}{A} \: \: \\ \)
janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
Water is being pumped into a reservoir tank. The total amount of water (w) after an amount of time (t) is given by the equation w =100+55t . If the total amount of water that will fit in the tank is 540 gallons, how much time will it take to fill the tank
Answer:
it will take 8 minutes
Step-by-step explanation:
Here, we want to
calculate the amount of time taken to fill the tank given the total amount of water in the tank.
Mathematically, the formula go
use is ;
w= 100 + 55t
540 = 100 + 55t
55t = 540-100
55t = 440
t = 440/55
t = 8
On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 14 and length of 12. Rectangular base of arrow has length of 10 and height of 11. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles.
128 square centimeters
135 square centimeters
146 square centimeters
168 square centimeters
A number line is shown.
E
F
H
G
+
10
-10 -5
0
15 20
Which two point values create a zero pair?
A points E and F
B points Fand G
cpoints G and H
D points E and H
Answer:
it's b) F and GStep-by-step explanation:
to understand thisyou need to know about:integeradditionPEMDASlet's solve:-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
it's b