You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.
Find the inverse of each function. Is the inverse a function?
y=3 x²-5
The inverse function returns the original value for which the output of a function was given
The inverse of this function is x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x.
If y varies inversely as x and x = 5 when y = 2, the constant of variation is k = xy = 5(2) = 10.
As a result, the equation for this inverse variation is xy = 10 or y = 10/x. Write an equation describing the inverse variation of y if it varies inversely as x and y = 6.
When x = 6, k = (6) = 8.
Let the function be y = 3x² - 5
y = 3x² - 5
Switch sides and add 5 to both sides
3x² = y + 5
Divide both sides by 3
x² = y + 5/3
Take the square root of both sides
x = ± [tex]$\sqrt{\frac{y+5}{3} }[/tex]
x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]
Therefore, the value of x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]
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Explain how you can tell if a function y=a/x is a stretch or compression of the parent function y=1/x
It totally depends on the value of a , that it will stretch or compress.
WHAT IS STRETCH OR COMPRESSION OF THE PARENT FUNCTION?A function change that makes a graph bigger or narrower is called a stretch or compression. To stretch a graph is to enlarge or reduce its size. Transformations are used to change the graph of a parent function into the graph of a more complex function.
CALCULATION1. Determine a's value.
2. Multiply each value in the range by a.
3. The graph is distorted by an amount equal to aa if a>1.
4.The graph is compressed by a factor of aa if 0<a<1.
5.If a<0, the graph is distorted around the x-axis and either stretched or compressed.
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Juan’s game board is a square with sides that are 50 cm long. the area of the large circle is about 1,963.5 square cm. what is the geometric probability that juan will score more than 0 points? 0 0.215 0.785 1
The geometric probability that Juan will score more than 0 points = 0.785
Juan's game board consists of a square with a circle inscribed in it.
If he hits the circle, then he can score more than 0 points.
Length of side of the square = 50 cm
So area of the square = 50 x 50 = 2500 square cm.
Now the area of the large circle = 1963.5 square cm.
Geometric probability that Juan will score more than 0 points
= Area of the circle / Area of the square
= 1963.5/2500
= 0.785
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Answer:
Step-by-step explanation:
the answer would be B) 0.215
PLSS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Mark is in charge of the fundraiser for his church. He is selling pre-sale tickets for $10 and at-the-door tickets for $15. The venue has the capacity to hold 300 people. The graph represents the number of raffle tickets he needs to sell to offset the upfront costs and raise $3,500:
How many at-the-door tickets must he sell to make his goal?
350
300
200
100
The number of at-the-door tickets that must be sold to reach the goal is 100.
How many at the door tickets must be sold to reach the goal?The system of linear equations that can be used to determine the required values are:
10p + 15d = $3500 equation 1
p + d = 300 equation 2
Where:
p = number of pre-sale tickets sold d = number of at-the-door tickets soldTo determine the value of d, take the following steps:
Multiply equation 2 by 10
10p + 10d = 3000 equation 3
Subtract equation 3 from equation 1
5d = 500
Divide both sides of the equation by 5
d = 500 / 5
d = 100
An alternate way to solve this question is to use the provided graph. Trace the point where the two curves meet to the y-axis. When traced the the y-axis the value gotten is 100.
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pls help im confused! due soon!
The solution to the division operation is 3 with a remainder of 0.
Dividing PolynomialsFrom the question, we are to determine the quotient and the remainder from dividing the given polynomials
The given division operation is
(6x² + 6) ÷ (2x² + 2)
Using the long division method
3
2x² + 2 ) 6x² + 6
- 6x² + 6
0
The quotient of the division operation is 3 and the remainder is 0. The divisor is 2x² + 2
Hence, the solution is 3 + 0/(2x² + 2)
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Find the number that makes the ratio equivalent to 1:5.
5:
Answer:
25
Step-by-step explanation:
[tex]\frac{1}{5}[/tex] = [tex]\frac{5}{x}[/tex] On the top, you need to multiply 1 by 5 to get 5, so multiply the bottom number 5 by 5 to get 25.
HAND WRITTEN ANSWER ONLY!!
Draw and label each figure (exact measures are not expected) to the best of your
ability. Find the area, and make sure to label your answers properly.
a) A rectangle with a length of 4 cm and a width of 2.5 cm. (2 pts)
Based on the length and width of the rectangle given, the area of the rectangle is 10 cm²
What is the area of a rectangle?The area of a rectangle refers to the amount of a surface that the rectangle occupies.
This area can be found by the formula:
= Length x Width
Solving for the area of the rectangle therefore gives:
= 4 x 2.5
= 10 cm²
In conclusion, the area of the rectangle is 10 cm².
In conclusion, the area of the rectangle was 10 cm².
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solve: |x + 11 | = x + 11
Answer: x>=-11
Step-by-step explanation:
|x + 11 | = x + 11
x+11=x+11 ==> x+11>0 since absolute value functions are greater than 0
x=x when x+11>0
x+11>0
x+11-11>0-11
x>-11
x+11=-(x+11)
x+11=0 ==> the only time a positive and negative number are equal is when the number itself is 0. Here, the number is 'x+11'.
x+11-11=0-11
x=-11
x=-11 and x>-11 ==> x>=-11
Someone pls help! 3x ^2 and x = 10 pls help!
Answer:
300
Step-by-step explanation:
Because of PEMDAS (Order of Operations), you would do the exponent first.
So, 3(x)^2 and 3(100)
Then you get 300
Hope this helps!
Answer:
300
Step-by-step explanation:
3(10^2)
3(100)
300
Horatio spends about 40 hours per week reading 2 different books in his spare
time. One book is more difficult, and one is lighter. He reads about 12 pages per
hour of the more difficult book and 25 pages per hour of the lighter book. If he
reads 610 pages per week, how many hours does Horatio spend on each book?
Answer:
you add 40+12+25+2+610 and you will get your answer
Answer:
Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book
Step-by-step explanation:
Let X be the hours spent reading the more difficult book
Let Y be the hours spent reading the less difficult book
Total hours spent = X + Y = 40
Number of pages of difficult book in X hours at 12 pages per hour = 12X
Number of pages of easier book in Y hours at 25 pages per hour = 25Y
Total pages read = 12X + 25Y
So we have two equations in X and Y and we can solve them simultaneously. Equations are:
X + Y = 40 (1)
12X + 25Y = 610 (2)
We can eliminate one of the variable terms by making the coefficients of the other term equal and then subtracting
Multiply (1) by 12 to make X terms equal
12(X + Y) = 12 x 40
12X + 12Y = 480 (3)
Subtract (3) from (2)
(2) - (3)
==> 12X + 25Y - (12X + 12Y) = 610 - 480
==> 12X + 25Y - 12X - 12Y = 130
==> 25Y - 12Y = 130 (12X terms cancel)
==> 13Y = 130
==> Y = 130/13 (divide both sides by 13)
==> Y = 10
Using (1)
X + Y = 40
==> X + 10 = 40
==> X + 10 - 10 = 40 - 10
==> X = 30
So answer:
Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book
what is:
| -8x + 14 | = -19
Answer:
No solutions.
Step-by-step explanation:
The absolute value cannot be less than 0
Solve each equation.
2 log x+log 4=2
The value of x for 2 log x + log 4=2 is 5.
Logarithmic function by what method?The exponential equation x = ay is defined as being identical to the logarithmic function y = logax. Only when x = ay, a > 0, and a 1 does y equal logax. It is known as the base-a logarithmic function. Think about what the exponential function's inverse means: x = ay.
Given,
2 log x + log 4=2
log x² + log 4 = 2
log(4x²) = 2
4x² = 10²
2x = 10
x = 5
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The relationship between the number of pounds (lb) of egg salad and the
price in dollars is shown in the graph. What is the unit price of egg salad?
Price (dollars)
225
20
15
9
2 3 4 5
Weight (pounds)
Answer:
What is the price per pound of the goji berries? A. $1.00 per pound ... The ratio of boys to girls at Louisiana Middle School is 3 : 5.
Step-by-step explanation:
consider the following statement: more than 65% of the residents of los angeles earn less than the average wage for that city. could this statement be correct? if so, how? if not, why not?
Yes, there is a probability that there are some very high wages that strongly increases the average wage in Los Angeles like the wages of highly paid famous actors and actresses and some computer programmers in places like Silicon Valley.
This increases the gap between the highly paid and the low-income earners. As a result, finding the average gives a value that is below the average wage for that city.
The average annual wage in Los Angeles is Approximately $66,966 which narrows down to roughly $32.20 an hour. To calculate an average wage, we add all wages earned monthly, yearly or quarterly and divide by the number of workers registered.
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Question #10 Rachel wants to use the Distributive Property to rewrite 72+ 45. Which expression could she use?
how can I cheat on ixl other than the inspect element or a person to help me.
Answer:
Don't cheat, there is your answer.
Step-by-step explanation:
Scarlett is deciding between two parking garages. garage a charges an initial fee of $11 to park plus $5 per hour. garage b charges an initial fee of $8 to park plus $6 per hour. let a a represent the amount garage a would charge if scarlett parks for t t hours, and let b b represent the amount garage b would charge if scarlett parks for t t hours. write an equation for each situation, in terms of t , t, and determine the hours parked, t , t, that would make the cost of each garage the same.
The number of hours parked for the cost of each garage to be the same is 3 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the number of hours parked at either garage A or garage B. Hence:
Total charges at garage A (A) = 5t + 11
A = 5t + 11
Total charges at garage B (B) = 6t + 8
B = 6t + 8
If both garages have the same cost:
5t + 11 = 6t + 8
t = 3
The number of hours parked for the cost of each garage to be the same is 3 hours.
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Expand each logarithm.
log₂√x
If the expression is [tex]log_{2}\sqrt{x}[/tex] then the expansion of the expression looks like ([tex]log_{2}x[/tex])/2
Given that the expression is [tex]log_{2}\sqrt{x}[/tex].
We are required to find the expanded form of the expression.
The power property says that if an exponent is being raised to another exponent, we can multiply the exponents. It says that
log[tex]a^{b}[/tex]=b log a.
The expression is [tex]log_{2}\sqrt{x}[/tex].
[tex]log_{2}\sqrt{x}[/tex]=[tex]log_{2}x^{1/2} }[/tex]
(We have to just put the power of x in front of the log to expand)
=([tex]log_{2}[/tex] x)/2
Hence if the expression is [tex]log_{2}\sqrt{x}[/tex], then the expansion of the expression looks like ([tex]log_{2}[/tex] x)/2.
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Mason went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. Mason purchased a total of 11 bottles of juice and soda which collectively contain 285 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased.
The system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is given by:
S + J = 11.
45S + 15J = 285.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In order to write the system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased, we would assign variables to them as follows:
Let S represent the number of bottles of soda purchased.Let J represent the number of bottles of juice purchased.Therefore, the system of equations that represents the given word problem include the following:
S + J = 11
45S + 15J = 285
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El señor Padilla vende 2/5 de su terreno y renta 1/6 que parte de su terreno queda sin mi rentar
Answer:
Si estamos hablando de fracciones sería 13/30, si es en porcentaje solo divide 13÷30
Step-by-step explanation:
Para iniciar tenemos que encontar un denominador común, que seria el treinta, entonces sería como este 12/30+5/30=17/30, y luego restamos 17 a treinta, y lo que te da es el resultado, espero que te ayude.
23. Monthly sales for your car wash for the first year were as shown.
Jul. $2,975
Aug. $3,025
Sep. $3,130
Jan. $2,750
Feb. $2,820
Mar. $2,875
Apr. $2,890
May $2,920
Jun. $2,960
Oct. $3,350
Nov. $3,400
Dec. $3,550
Calculate total sales and average monthly sales. Find the profit or
loss for the year, assuming that total expenses were $21,250. Find
the average monthly growth rate. If sales continue to grow at this
rate, what will sales be for each month next year?
Answer:
I don't know this answer
What is the value of the expression 2x² - 7x +3
when x = -4?
A. -1
B. -57
C. 63
D. 7
I did it with a calculator and got 63
Can someone help with the last questions
For c I got 32768 but it’s not correct
Please help with c and d!
What is the product of
-4 and 5?
Answer:
1
Step-by-step explanation:
you have -4 and it is a negative number so you take it away from 5 and you get 1
10)
12
√144
Write the answer as a prime number base ?
Answer:
144
Step-by-step explanation:
12√144
12 × 12
=144
For a number to be classified as a prime number, it should have exactly two factors. Since 144 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, it is not a prime number.
A pet store conducted a survey to gather information about the types of pets people own. Here are the results. 451 of the people own at least one of these three types of dets (cat, dog, fish) 32 of the people own a cat, but own neither a dog nor a fish 48 of the people own a dog, but own neither a cat nor a fish. 119 of the people own both a cat and a dog, but don't own a fish. 57 of the people own a fish, but own neither a cat nor a dog. 63 of the people own both a cat and a fish, but don't own a dog . 315 of the people own a cat. 603 people were surveyed in all
Answer:
1200
Step-by-step explanation:
how do i graph f(x)= -4|x-1|-3
4[5+2(6-2*3)]-5(4(16/4-12/4)-4+2]
Answer:10
Step-by-step explanation:
Using the distributive Property method.
There are 18 animals on the Harry's Farm. Some are 2 legged some are 4 legged. If 60 legs are touching the ground, how many of each animal are there
Answer: 10 (2 legged) and 8 (4 legged)
Step-by-step explanation:
Answer:12 4 legged and 6 2 legged animals
Step-by-step explanation:
quick mafs
what is x-6>6 . solve for x
Answer:
x>12
Step-by-step explanation:
x-6>6
move constant (6) to right
x>6+6
x>12
alternate form
(12, infinity symbol)
hope this helps
Answer:
12
Step-by-step explanation: