Answers
For the first function, the coordinates of A are (0, 1).
The equation of circle B is (x -4)^2 + y^2 = 25
And the circle intercepts the x-axis at:
(9, 0) and (-1, 0)
Which are the coordinates of A?
We have the equation:
y = a^x
And we know that A is the y-intercept of that equation, remember that the y-intercept is the point such that x = 0, so the y-coordinate will e:
y = a^0 = 1
So the y-intercept (point A) is the point (0, 1).
How to write circle B?We start with the circle:
x^2 + y^2 = 25
And we apply a translation of 4 units to the right, so we write this as:
(x - 4)^2 + y^2 = 25
c) The circle intercepts the x-axis when y = 0, then:
(x - 4)^2 + 0^2 = 25
x - 4 = ±√25
x - 4 = ±5
x = 4 ± 5
Then the two points where the circle intercepts the x-axis are:
(9, 0) and (-1, 0)
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Related Questions
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ y^{\frac{3}{4}} ~~ }{y^{\frac{1}{2}}}\implies \cfrac{ ~~ y^{\frac{3}{4}}y^{-\frac{1}{2}} ~~ }{1}\implies y^{\frac{3}{4}-\frac{1}{2}}\implies y^{\frac{1}{4}}\implies \sqrt[4]{y^1}\implies {\Large \begin{array}{llll} \sqrt[4]{y} \end{array}}[/tex]
3. John and Savanah are saving money to go on a trip to Mexico. They need at least $2,545 in order to go. John tutors English and Savanah works as a babysitter to raise money. John charges $15 per hour and Savanah charges $20 per hour. The number of hours that Savanah has scheduled is no more than five times the number of hours John has scheduled. Savanah will babysit at least 40 hours.. Write a set of constraints to model the problem, with x representing the number of hours John tutors and y representing the number of hours Savanah babysits.
Answers
The set of constraints to model the problem include
y < 5x and y ≥ 40 hoursHow to write a set of constraints to model the problemThe following is data given in the problem
They need at least $2,545 x representing the number of hours John tutorsy representing the number of hours Savanah babysitsThe number of hours that Savanah has scheduled is no more than five times the number of hours John has scheduled. Savanah will babysit at least 40 hoursThe constraints to model the problem is as follows:
The number of hours that Savanah has scheduled is no more than five times the number of hours John has scheduled.
no more than means it is not greater that which implies it is less thany < 5xSavanah will babysit at least 40 hours
at least 40 hours means a minimum of 40 hours this is 40 hours and above simplified further to greater than or equal to 40 hoursy ≥ 40 hoursThe two constraints required is modelled using inequalities and represented as follows y < 5x and y ≥ 40 hours
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f(x) = 4x + 6 and g(x) = 1/2 x f (x)
What is the function rule for function g?
g(x) = ____ x+_____
Answers
The function rule for function g is g(x)=2x+3.
We are given the function f(x).In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are used all the time.The function f(x) equals 4x + 6.The function g(x) equals (1/2)*f(x).We see that the function g(x) is just a modification of the function f(x).In the definition of the function g(x), substitute the value of the function f(x).The function g(x) becomes (1/2)*(4x + 6).Open the brackets and simplify.The function g(x) becomes 2x + 3.To learn more about similar functions, visit :
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What is the WHOLE NUMBER solution to this system? Write your answer as an ordered pair (x, y). If the system does not have a solution, write NONE in the answer. Sy=2x² + 16x + 24 y=-x-2
Answers
Answer: 2(2−x)(x−6)
Step-by-step explanation:
Find the value of x.
(3x + 3) (5x + 1)
Please help me :)
Answers
Answer:
22
Step-by-step explanation:
The angles form a linear pair, and thus add to 180°.
[tex]3x+3+5x+1=180 \\ \\ 8x+4=180 \\ \\ 2x+1=45 \\ \\ 2x=44 \\ x=22[/tex]
a motor racing track has lenght 5 5/6
a straigt section is 1 1/4
what fraction is the straight section
Answers
[tex]\frac{3}{14}[/tex] is the straight section.
What is fraction?A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 12. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
Given Data
Length = 5[tex]\frac{5}{6}[/tex]
Length = [tex]\frac{35}{6}[/tex]
Straight section = 1[tex]\frac{1}{4}[/tex]
Straight section = [tex]\frac{5}{4}[/tex]
Dividing them:
= [tex]\frac{35}{6}[/tex] ÷ [tex]\frac{5}{4}[/tex]
= [tex]\frac{35}{6}[/tex] ×[tex]\frac{4}{5}[/tex]
= [tex]\frac{6}{28}[/tex]
= [tex]\frac{3}{14}[/tex]
[tex]\frac{3}{14}[/tex] is the straight section.
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Solve for t.
-17 < 3t-14 + 14ts -8
Answers
Answer:
Step-by-step explanation:
Division in Base Three: 22011/12
Answers
Answer: 1122
Step-by-step explanation:
The amount of time light takes to travel one meter in a vacuum is 3.3 nanoseconds. To travel one mile it takes 5.4 microseconds.
How many times longer, to the nearest tenth, does it take for light to travel one mile than one meter?
Answers
The time to travel one mile is 1636.4 times the time to travel one meter.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent.
The amount of time light takes to travel one meter = 3.3 nanoseconds = 3.3 * 10⁻⁹ s
Time to travel one mile = 5.4 microseconds = 5.4 * 10⁻⁶ s
Ratio of time to travel one mile to time to travel:
one meter = 5.4 * 10⁻⁶ s / 3.3 * 10⁻⁹ s = 1636.4one mile is 1636.4 times the time of one meter.Find out more on equation at: https://brainly.com/question/2972832
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Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answers
Answer: 240,000
Step-by-step explanation: Ok so to get the answer we first do
10 x 20 which is 200 then you do 200 x 30 which is 6,000 then we times the last number which is 40 which would look like 6,000 x 40 which equals 240,000. Hope this helps but also a quicker way in your head could be lining them up straight and down in your head with all the numbers and with all the zeros you will no the answer will have 4 zeros on the end of the answer then do 1 x 2 = 2 x 3 = 6 x 4=24 so then add the four zeros on the end and there you go you get your final answer of 240,000.
9. Higher Order Thinking Explain why when dividing fractions with the
same denominator, you can find the quotient by dividing the numerators.
Support your answer with an example using one or more mixed numbers.
Answers
One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.
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5 3/4 - 2 1/4
help me please love
Answers
Answer:
3 2/4Step-by-step explanation:
5 3/4 - 2 1/4
whole numbers
5 - 2 = 3
fractions
3/4 - 1/4 = 2/4
so
3 2/4 is the answer
Kevin and Randy Muise have a jar containing 69 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.25 How many of each type of coin do they have?
Answers
Taking into account the definition of a system of linear equations, Kevin and Randy Muise have 19 quarters and 50 nickels.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In this way, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Amount of quarters and nickelsIn this case, a system of linear equations must be proposed taking into account that
"q" is the amount of quarters."n" is the amount of nickels.You know that:
Kevin and Randy Muise have a jar containing 69 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.25The system of equations to be solved is
q + n= 69
0.25q + 0.05n= 7.25
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "q" from the first equation:
q= 69-n
Replacing this expression in the second equation:
0.25(69 - n) + 0.05n= 7.25
Solving:
0.25×69 - 0.25n + 0.05n= 7.25
17.25 - 0.25n + 0.05n= 7.25
- 0.25n + 0.05n= 7.25 - 17.25
-0.2n= -10
n= (-10)÷ (-0.2)
n= 50
Remembering that q= 69 -n, you get:
q=69 - 50
q= 19
Finally, there are 19 quarters and 50 nickels.
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Evaluate the function as indicated, and simplify.
g(x) = 2x² - 3x + 1
Answers
g(x) = 2x² - 3x + 1 =
-2 = 2[tex](x+2)^{2}[/tex]+ 3(x+2) - 1
-2 = 2( [tex]x^{2}[/tex] + 4x + 4) + 3(x+2) - 1
-2 = 2[tex]x^{2}[/tex] + 8x + 8 + 3x + 6 - 1
-2 = 2[tex]x^{2}[/tex] + 11x + 13
0 = 2[tex]x^{2}[/tex] + 11x + 15
0 = ( 2x + 5 )(kx + 3 )
2x + 5 = 0 ---> kx= -5/2
x+3=0 ----> x = -3
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output.
one of them sums up a function the best?
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output. So, this is the best choice.
The function's type is f/x)= 2x 2 + 3x 1.
Explanation: Since the polynomial f(x)=2x33x+1 is continuous and contains continuous derivatives of all orders for all real x, it unquestionably meets the theorem's hypotheses.
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I have a test tomorow and I dident study i need help what is 2 + 8 ples help
Answers
Answer:
10
Step-by-step explanation:
lol XD are you trolling?
if 7(n-m) = 3m, what is m/n
Answers
Answer:
10m/7n
Step-by-step explanation:
distribute the
7n-7m=3m
7n=
please solve the questions on the paper
Answers
The values of the equations that are given will be:
17. b + 9 and -b + 7
18. c - 4 and c + 4
19. a + b - c and a + b + c
20. 5 + 2b and 5 - 2b
21. 4 - h - b and -b + h - 4
22. 2 - b - 2h and b - 2
How to express the equation?Based on the information given, it should be noted that the equations will be expressed thus:
It should be noted that an equation is used to show the relationship between the variables. The equations will be:
17. |b + 1| + 8
= b + 1 + 8
= b + 9
and
|b + 1| + 8
= -b - 1 + 8
= -b + 7
18. 5 - |c + 1|
= 5 - c + 1
= - c + 4
= c - 4
and
5 - |c + 1|
5 + c - 1
= c + 4
19. |a + b|- c
= a + b - c
and
-a - b - c
Multiply through by -
= a + b + c
20. 5 + |2b|
= 5 + 2b
and
5 + |2b|
= 5 - 2b
21. |4 - h| - b
= 4 - h - b
and
-4 + h - b
= -b + h - 4
22. |2 - b - h| - h
= 2 - b - h - h
= 2 - b - 2h
and
-2 + b + h - h
= b - 2
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I need help making sure these are the right answer thank you in advance!
Answers
Answer:
They are all incorrect except for C
Step-by-step explanation:
A. y = 4
B. y = -2x + 4
D. x = -4
Members of a baseball team raised $1187.25 to go to a tournament. They rented a bus for $783.50 and budgeted $21.25 per player for meals. Which tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?
Answers
The tape diagram that could be used to represent the context is A.
What is a tape diagram?It should be noted that a tape diagram is simply used to show number relationships. It so used to illustrate ratios, addition, etc.
In this case, the baseball team raised $1187.25 to go to a tournament and they rented a bus for $783.50 and budgeted $21.25 per player for meals.
Let x represents the number of players the team can bring to the tournament.
This will be illustrated as 783.50 + 21.25x = 1187.25. The tape diagram that illustrates this is A.
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Find the distance between each pair of points
Answers
Answer: [tex]\sqrt{82}[/tex]
Step-by-step explanation:
Points are (4,-4) and (3,5)
We find the difference between the numbers
5- - 4 = -9
3 - 4 = -1
Then find the length between them using a triangle [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]\sqrt{-9^{2} +-1^{2} } =\sqrt{82}[/tex]
Please Simplify
√81x¹²y³
Answers
Answer:
9x^6y√y
Step-by-step explanation:
√81x¹²y³ = √9*9* x^6* x^6 * y*y*y = 9x^6y√y
The area of a rectangle whose length is 7ft is 14ft squared. Use the equation 14=7w, where w represents the width of the rectangle, and these values for w: 2, 4, 98. Determine the width of the rectangle.
Answers
The most appropriate choice for area of rectangle will be given by:
Width of rectangle is 2 ft
What is area of rectangle?
Area of rectangle is the total space taken by the rectangle.
If the length of rectangle be [tex]l[/tex] ft and breadth of rectangle be [tex]b[/tex] ft, area of rectangle [tex]l \times b[/tex] [tex]ft^2[/tex]
Here,
Let the width of the rectangle be w ft
Length = 7ft
Area = 7 x w [tex]ft^2[/tex]
By the problem,
7 x w = 14
w = [tex]\frac{14}{7}[/tex]
w = 2 ft
Width of rectangle is 2 ft
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Find the value of x and y
Answers
Answer:
a
Step-by-step explanation:
Vertical angles are congruent, so:
[tex]7x+7=112 \\ \\ 7x=105 \\ \\ x=15[/tex]
Using linear pairs,
[tex]112+4y=180 \\ \\ 4y=68 \\ \\ y=17[/tex]
3(x-2)+2x=1/2(10x-12)
Answers
Answer:
this equation is always true
Step-by-step explanation:
3(x-2)+2x=1/2(10x-12)
3x - 6 + 2x = 5x - 6
5x - 6 = 5x -6
5x - 5x = 6 - 6
0 = 0
this equation is always true
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]\sf 3(x - 2) + 2x = \dfrac{1}{2}*(10x - 12)\\\\ 3x - 3*2 + 2x = \dfrac{1}{2}*10x - \dfrac{1}{2}*12 \ [\bf distributive \ property]\\\\ 3x - 6 + 2x = 5x - 6[/tex]
Combine like terms,
3x + 2x - 6 = 5x - 6
5x - 6 = 5x - 6
There are infinitely many solutions for this equation.
Solve the system using matrices. Enter fractional answers in decimal form.
x + 5y + 3z = 6
4y -z = 3
6x - 2y + 4z = 12
The solution to the system of three linear equations is the ordered triple
Answers
Answer:
f
Step-by-step explanation:
find the difference using the number line 3-1
HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT )I HAVE OTHER QUESTIONS TOO HELP PLS)
Answers
The equation of the line perpendicular to the given line and passing through (-3, 7) is; y = (-2/3)x + 5
What is the equation of the Line in slope intercept form?
We are given the equation of a line as; y = (3/2)x - 1
Now, the general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, for our given equation we have;
Slope; m = 3/2
y-intercept; c = -1
Now, for a line perpendicular to this, will have a slope of -1/(3/2) = -2/3
Thus, equation of the line perpendicular to the given line and passing through (-3, 7) is;
y - 7 = (-2/3)(x - (-3))
y - 7 = (-2/3)(x + 3)
y = 7 - 2 - (2/3)x
y = (-2/3)x + 5
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Two Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars) for different numbers of months at Company A. The total cost $y$ (in dollars) for $x$ months of service at Company B is represented by $y=45x+50$ . Which company charges less per month?
Company A
Months, x Total cost, y
2
3
4
5
6
$180
$220
$260
$300
$340
Answers
An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.
Given that,
An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B.
We have to find which company has monthly fees that are lower.
Company A charges =220-180=40
Company A charges $40 per month.
Company B charges $45 per month
Because the slope is 45.
Therefore, Company A charges less per month then Company B.
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2. Is this graph a function?
This is not a function
Answers
Answer:
This graph is not a function
Step-by-step explanation:
Because it fails the Vertical line test
two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter.
Answers
The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.
The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.
Since we are provided with four red cards and four green cards so, the total possible combination of the 8 cards will be
C(8,2) = 28
out of which 2*C(4,2)=12 are the pairs of the same color
therefore the probability of picking a pair with the same color OR same letter is
1 - (12*4)/28^2 = 0.9388
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Exit Ticket
Donnie earns extra money as a lifeguard. He earns $52.50 for
5 hours. Identify the constant of proportionality, and write an
equation for the proportional relationship.
Answers
Answer:
10.5
10.5x = 52.50
Step-by-step explanation:
To identify the constant of proportionality, divide money by hours.
52.50 ÷ 5 = 10.5
Use the constant of proportionality to write the equation.
10.5x = 52.50