Answer:
-2,-3
Step-by-step explanation:
only -2 or -3 will make one side equal 0 so the equation will equal 0
with -2
(-2+2)(x+3)=0
0(x+3)=0
0x+0=0
0=0
-2 works
with -3
(x+2)(-3+3)
(x+2)0=0
0x+0=0
0=0
-3 works
Help me please!!!!!!!!!!!!!
Answer:
part A=3x-23=28
part B=17
Step-by-step explanation:
part A3x-23=28
part B3x=23+28
3x=51
x=17
f(x)=x^7/9
Show the work steps of the function above to find the inverse of the function algebraically using rational exponents notation. Do not use radical notation.
Answer:
x^(9/7)
Step-by-step explanation:
inverse function f(x) = (x^(1/9))^7 = x^(9/7)
what is the slope of a line perpendicular to the line whose equation is 2x+2y=-12
Answer:
The slope of a line perpendicular to m=2 is m= 1.
Step-by-step explanation:
2x+2y=-12
2y=-2x-12
y= -x-6.
The equation is in slope-intercept form now, so it is easy to tell what the slope is.
The slope of y= -x-6 is m = -x. Technically, -x = -1x, so now make the -1 positive and find the reciprocal, which is still 1.
All you need to do to find the perpendicular slope of any line is simply to find the reciprocal of the number and make the positive/negative number the opposite. I hope this helps, have a good day/night! :)
Draw a model to find the quotient of 3/4 ÷ 2
When the mortgage is completely paid off for Mark and Lynne’s house, it will be 4 times as old as it is now. If they have 15 years left on the mortgage, how old is the house right now?
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Milos makes a diagram of an upcoming trip to his grandparents' house using what he recalls about the time and mileage from past trips.
Miles
Using Milos's diagram, find the constant of proportionality in miles per hour.
Answer:
6261
Step-by-step explanation:
it was 6261 because I have to do a i test at
Sam was injured in an accident, and the insurance company has offered him the choice of $45,000 per year for 15 years, with the first payment being made today, or a lump sum. If a fair return is 7.5%, how large must the lump sum be to leave him as well off financially as with the annuity?
Answer:
Step-by-step explanation:
$427,011.92
Solve the system of linear inequalities
-4x+3y<15 -6x-4y<12
Solving the system of linear inequalities, we get
-4x+3y<15 = (0,5),(-15/4,0)
-6x-4y<12 = (0,-3),(-2,0)
What is a system of linear inequalities?
At least two linear inequalities in the same variables make up a system of a linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
Here, we have
Given inequalities
-4x+3y<15 and -6x-4y<12
Now we solve the system of linear inequalities
For, -4x+3y<15
When we put x= 0, we get
y = 5
and if we put y = 0 , we get
x = -15/4
For, -6x-4y<12
When we put x= 0, we get
y = -3
and if we put y = 0 , we get
x = -2
Hence, Solving the system of linear inequalities, we get
-4x+3y<15 = (0,5),(-15/4,0)
-6x-4y<12 = (0,-3),(-2,0)
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How do you change a fraction to a decimal?
Group of answer choices
Divide the numerator by the denominator
Move the decimal over 2 places
Change the denominator to 100
Divide the denominator by the numerator
Answer:
it is the answer number 1
Given the graph answer the following questions " (-2,0) (1,-9) opens up opern down (4,0) x=1 Vertex
Axis of Symarnetry
Y-intercept
x intercept(s)
Concevity
Vertex of the given parabola : (1,-9), Axis of Symmetry: x = 1, Y-intercept : (0, -8), x-intercept(s) : (-2,0) and (4,0), and Concavity: opens up.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The graph of the parabola is given in the question.
According to the given graph, the required solution would be as:
Vertex of the given parabola : (1,-9)
Axis of Symmetry : x = 1
Y-intercept : (0, -8)
x-intercept(s) : (-2,0) and (4,0)
Concavity: opens up
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The U.S. Postal Service charges a $21.90 flat rate for Priority Mail
and an additional $4.90 per kilogram. In this situation, what is the
value of the slope?
value of the slope is 22.3 % per Kg
Charging a single, fixed price for a given service is known as flat rate pricing.
What do flat rate means?Charging a single, fixed price for a given service is known as flat rate pricing. Regardless matter how much time or work is required to complete, this cost remains constant.A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run."The rise over the run determines a line's slope. We can always put the slope over the number one if the slope is represented by an integer or decimal value. When it runs 1, the line in this instance increases by the slope. "Runs 1" denotes a one-unit rise in the x value.The U.S. Postal Service charges a $21.90 flat rate.
additional $4.90 per kilogram.
slope rate =[tex]\frac{4.90}{21.90} X 100 = 22.3 %[/tex] %
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Write the equation of the parabola that has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f(x)=a(x-h)²+k.
f(x)=
The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 3x²
Also, we have
Vertex = (5, 9)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (5, 9)
Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 5)² + 9
This also means that
f(x) = -3(x - 5)² + 9
The -3 is gotten from f(x) = -3x²
Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9
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12456 round to the nearest ten thousand
Answer:
12000 is the correct answer.
Step-by-step explanation:
Hope this helps you :)
Mark has brainiest please
A carnival charges $8 to enter and $3 per ride.
a. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides.
b. Does this table of values create a function? Why or why not?
The table of values for the total cost is:
# of Rides, x Total cost, y
0 $8
1 $11
2 $14
3 $17
4 $20
5 $23
The table of values create a linear function. This is because the table of value increases by a constant value.
What are the total costs?The total cost is the sum of the amount the carnival charges, the number of rides and the cost per ride.
Total cost = cost to enter + (cost per ride x number of rides)
Total cost for 0 ride = $8 + ($3 x 0) = $8
Total cost for 1 ride = $8 + ($3 x 1) = $11
Total cost for 2 rides = $8 + ($3 x 2) = $14
Total cost for 3 rides = $8 + ($3 x 3) = $17
Total cost for 4 rides = $8 + ($3 x 4 ) = $20
Total cost for 5 rides = $8 + ($3 x 5) = $23
The table of values creates a linear function. This is because the total cost increases by a constant amount.
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x+5y =46
x-y =-14 solve the system of equations using elimination
Answer:
x = 16
y = 10
Step-by-step explanation:
x+5y =46 [1]
x-y =-14 [2]
x=-14+y [3]
put [3] into [1],
x+5y =46
-14+y+5y=46
6y = 60
y = 10
put y=10 into [1]
x+5(10)=46
x = 16
At the Fidelity Credit Union, a mean of 7.3 customers arrives hourly at the drive-through window. What is the probability that, in any hour, less than 1 customer will arrive? Round your answer to four decimal places.
The probability that the customer would come in that time is 0.0007
How to solve for the probabilityThe question puts the mean u = 7.3
We are required to get the probability of less than 1 customer in one hour. The poisson probability formula is what would be used to solve this problem
the formula is given as
[tex]P(X=x) = e^-^u*^u^x[/tex]/X!
where x = 1
p(X=x) = P(X = 0)
P(X < 1) = P(X = 0)
e⁻⁷.³ x 7.30 / 0!
= 0.0007
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Walter used his bank's ATM to withdraw $150. This was the sixth time he used the ATM in June. His bank does not charge for the first five ATM uses each month. After that, the fee is $1.50 for each use. What is the total he should subtract from his balance including fees?
Answer:
$151.50 deducted
Step-by-step explanation:
Walter used his bank's ATM to withdraw $150. This was the sixth time he used the ATM in June. His bank does not charge for the first five ATM uses each month. After that, the fee is $1.50 for each use. What is the total he should subtract from his balance including fees?
1 charge of $1.50 + withdrawal of $150
= $151.50 deducted
Solve the system by graphing. y equals 2 x squared plus 3 x plus 1 y equals negative 2 x plus 1
The point (0, 1) and (-2.5, 6) is the solution to y = 2x² + 3x + 1 and y = -2x + 1
What is an equation?From the information, we want to solve the system by graphing. y = 2x² + 3 x + 1 and y = - 2 x + 1.
An equation is an expression that is used to show the relationship between two or more numbers and variables.
Given the quadratic and linear equation, y = 2x² + 3x + 1 and y = -2x + 1, the solution is at the intersection of both equations. Here, the intersection point of the equations is the solution of the system i.e. (-2.5,6) and (0,1). Therefore, the point (0, 1) and (-2.5, 6) satisfies this equation.
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PLEASE HELP
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 50 degrees at midnight and the high and low temperature during the day are 58 and 42 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
The equation for temperature 67, gives the time as 4.8 hours.
What is amplitude?
A sound is a type of energy that is created when objects vibrate. For it to spread, a medium is needed. As a result, sound cannot travel in a vacuum because there is nothing for the sound waves to travel through. The object's back-and-forth movement creates the sound. Sound vibration is the name for this. Additionally called oscillatory motion. Oscillation describes the regular rhythmic back-and-forth movement.
We know that the general equation of a sine wave is:
[tex]$$y(t)=A \{Sin}(W(t-C))+D$$[/tex]
where,
A- Amplitude
D = Average of Max(y) and Min(y);
[tex]W=\frac{2 \pi}{\text { Period }}[/tex]
C - Phase shift on y(axis)
Part a)
Given Max T= 94 and Min T = 66
Hence,
D = (Max+Min)/2 = 80
A = Max - D = 94-80= 14
Since period is 24 hours, so W = 2\pi/24 = \pi/12
Thus the function till now is:
[tex]T(t)=14Sin(\frac{\pi}{12}(t-C))+80[/tex]
Given low temperature occurs at 3 AM so,
T(3)=66
Solving this we get C = 9
Hence,
[tex]T(t)=14Sin(\frac{\pi}{12}(t-9))+80[/tex]
Part b)
Given Max T= 58 and Average = 45
Hence,
D = 45
A = Max - D = 58-45= 13
Since the period is 24 hours, so W = [tex]2\pi/24 = \pi/12[/tex]
Thus the function till now is:
[tex]T(t)=13Sin(\frac{\pi}{12}(t-C))+45[/tex]
Given high temperature occurs at 5 PM so,
T(17)=58
Solving this we get C = 11
Hence,
[tex]T(t)=13Sin(\frac{\pi}{12}(t-11))+45[/tex]
The temperature at 4 AM is:
[tex]T(4)=13Sin(\frac{\pi}{12}(4-11))+45 = 32.44[/tex]
Part c)
Given Max T= 86 and Min T = 64
Hence,
D = (Max+Min)/2 = 75
A = Max - D = 86-75= 11
Since period is 24 hours, so W = 2\pi/24 = \pi/12
Thus the function till now is:
[tex]T(t)=11Sin(\frac{\pi}{12}(t-C))+75[/tex]
Given average temperature occurs at 8 AM so,
T(8)=75
Solving this we get C = 8
Hence,
[tex]T(t)=11Sin(\frac{\pi}{12}(t-8))+75[/tex]
Now,
We need to find t such that T(t) = 67.
[tex]67=11Sin(\frac{\pi}{12}(t-8))+75[/tex]
[tex]\Rightarrow t=4.88945 \approx 4.89 hours[/tex]
Hence, The equation for temperature 67, gives the time as 4.8 hours.
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Hardest thing ever. Please help! I will give branliest answer
Answer:
This is commutative property of supplements
consider this equation y=-1/2x+4 1/2 and 3x - 4y = 12 solve the system by graphing. label each graph
On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .
In the question ,
it is given that
the equations are y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12
which can be written as y = (-1/2)x + 9/2 and 3x - 4y = 12
to plot the graph of the given equations , we need intercept .
For the equation y = (-1/2)x + 9/2
when x= 0 , y = (-1/2)(0) + 9/2 = 9/2
when y = 0 ,
0 = (-1/2)x + 9/2
(1/2)x = 9/2
x = 9
the points are (0 , 9/2) and (9 , 0)
For the equation 3x - 4y = 12
when x = 0 , 3(0) - 4y = 12
-4y = 12
y = -3
when y = 0 , 3x -4(0) = 12
3x = 12
x = 4
the points are (0,-3) and (4,0) .
after plotting the lines on the graph , we can see that the both the lines intersect at the point (6 , 3/2) ,
Therefore , On solving the equations y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 graphically , the solution is (6 , 3/2) .
The given question is incomplete , the complete question is
Consider this equation y = (-1/2)x + [tex]4\frac{1}{2}[/tex] and 3x - 4y = 12 .
Solve the system by graphing. label each graph.
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Solve: x-5 = square root x-3
Answer:
7
Step-by-step explanation:
First, we need to get rid of the square root. To do this, square both sides.
(x - 5)^2 = √((x - 3)^2)
x^2 - 10x + 25 = x - 3
Next, continue simplifying
x^2 - 10x + 25 - x + 3 = 0
x^2 - 11x + 28 = 0
(x - 7)(x - 4) = 0
x - 7 = 0 and x - 4 = 0
x = 7 and x = 4
Next, plug in these values into the equation
x = 7 ---> 7 - 5 = √(7 - 3)
2 = √4
2 = 2
x = 7 is a possible value
x = 4 ---> 4 - 5 = √(4 - 3)
-1 = √1
x = 4 is an extraneous solution and not a possible value.
Answer:
7 is the only solution
Step-by-step explanation:
x-5=square root x-3
7-5=square root 7-3
2=square root of 4
2=2
7 is a solution
4-5=square root 4-3
-1= square root of 1
-1=1
hopes this helps please mark brainliest
Choose the correct answer below.
A. The statement is true because the definition of the instantaneous rate of change for a function f at x is the same as the definition of the derivative of a function f at x
B. The statement is false because the derivative is the average rate of change of x with respect to y=f(x).
C. The statement is false because the derivative is the average rate of change of y=f(x)with respect to x
D. The statement is false because the derivative is the instantaneous rate of change of x with respect to y=f(x)
The correct answer to this question is A.
can you help me with this question
The graph that represents the solution of the inequality is
What is a system of inequality?
An inequality is known as an expression in which two value do not have an equal sign. they have either >, <,≥,≤. And to compute the solution
We plot the inequality and find the common region between them.
We are given a system of inequalities
Which are
y > x-1 and y< -x-2
We plot the graphs of the inequalities
Now we have plotted the graph the red one represents inequality y> x-1
and blue one represents inequality y< -x-2
And the intersection of the two is known as the solution of the system of inequality
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question in screenshot only need D everything else is correct
The function g(t)=100(t-4)/84.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
g(0) = 4
g(1)= 4 + .84x
g(2)= 5.85
g(t) = mt+c
c = 4
g(t) = t-c/m = t-4/0.84 = 100(t-4)/84
Hence, the g(t)=100(t-4)/84.
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an underwater drone is located 9 3/5 meters below sea level. the drone is moved to a location that is 15 1/2 meters below sea level. which measure best describes the change in the location of the drone? 26 1/10m 5 9/10m -5 9/10m -26 1/10m
The measure that best describes the change in the location of the drone is D. -26 1/10m
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the underwater drone is located 9 3/5 meters below sea level and the drone is moved to a location that is 15 1/2 meters below sea level
The change will be:
= - 9 3/5 - 15 1/2
= - 9 6/10 - 15 5/10
= - 25 1/10
The change is - 25 1/10m.
The options are incorrect.
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16 miles = how much kilometers?
Answer:
25.749504 kilometers
Step-by-step explanation:
16miles x 1.609(constant) = 25.749504
Solve the inequality. Write the solution set in interval notation.
11 ≤ 6(n + 4) - 4n
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If cos 0 = 4/√27 and angle is in Quadrant I, what is the exact value of tan 20
in simplest radical form?
Answer:
See below
Step-by-step explanation:
In Q I cos sin and thus tan are all positive
tan = sin / cos so you need to find sin
TRIG identity:
cos^2 + sin^2 =1
16/27 + sin^2 =1
sin^2 = 1 - 16/27 = 11/27
sin = sqrt (11/27)
tan = sqrt (11/27) / ( 4/sqrt27) =+ sqrt (11) /4