Answers
So the inverse of the inverse function x² -2 will be √(x+2), which i s thus our original function.
So, the answer to this question is option A.
A way to validate the answer is take the composition of the original function and its inverse, the will give the result equal to x
Related Questions
#3 Q. the diagrams solve please
Answers
Hope this helps :)
area = 22.5 ft²
Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.
1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²
2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²
3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²
Hope this helps :)
hey can you please help me posted picture of question
Answers
Moving one unit to left is equivalent to adding 1 to x in the base of the expression in given case.
So,
G(x) = F(x+1)
G(x) = (x+1)²
Thus the correct answer is option D
The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $
Answers
It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .
Transactions made in the account = $643.72-68.29+341.80-34.18-60.00
Amount left in the account =$823.05.
Answer:
Running Total = $823.05
Step-by-step explanation :
When the figures were entered on a checking account record to keep the running total correct :
Balance forward = $643.72
Check #5734 to Lupe's Market for food = $68.29
A deposit = $341.80
Check #5735 to Broadmoor Community Center = $34.18
Check #5736 to Bill Baughman for plumbing services = $60.00
Total Transactions :
643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05
Total balance = $823.05
Evaluate the expression 5a + 5b. Let a = -6 and b = -5.
Answers
n = 5a + 5b
n = 5(-6) + 5(-5)
n = -30 + -25
n = -55
Hope this helps
What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?
Answers
Explanation:
The chemical equation is:
[tex]MgCO_3 \to Mg^{2+} + CO_3^{2-}[/tex]
The value of Q can be obtained as follows:
Q = [[tex]Mg^{2+}[/tex]][[tex]CO_3^{2-}[/tex]]
Q = [2.50×x10^−3][2.00×10^−3]
Q = [tex]5.0 * 10^{-6}[/tex]
Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?
Answers
There are 8 pounds of raisins in Morgan's supply.
Let us say there are 'a' pounds of raisins in her supply.
What is a fraction?Fraction is a manner to represent part of a whole.
Raisins used to make trail mix = 1/4 of a = 1/4 a
Raisins used to make cookies = 3/8 of a = 3/8 a
It is given that:
Morgan uses 5 pounds of raisins,
[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]
[tex]\frac{5}{8} a = 5\\\\a=8[/tex]
Therefore, there are 8 pounds of raisins in Morgan's supply.
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Morgan's total supply of raisins is 8 pounds.
Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.
We set up the equation to represent the total amount of raisins used:
1/4 R + 3/8 R = 5
We need to find a common denominator to combine the fractions. Here, the common denominator is 8:
(2/8) R + (3/8) R = 5
Combining the fractions gives:
(5/8) R = 5
To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:
R = 5 * 8/5
When we simplify, we get:
R = 8
So, Morgan's total supply of raisins is 8 pounds.
Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.
Answers
rate of change = 32
y-intercept = 45 when x = 0
Function 2: x y 0 65 1 85 2 105 3 125
rate of change = (85-65)/(1-0) = 20
y-intercept = 65 when x = 0
So the following statements are correct:
Function 1 has a greater rate of change than function 2.
Function 2 has a greater y-intercept than function 1.
Answer:
Step-by-step explanation:
Function 1: y = 32x + 45 <- 45 is y-intercept
Function 2: x y 0 65 <- 65 is y-intercept
So Function 2 has a greater y-intercept than function 1.
Function 1: y = 32x + ... <- 32 is rate of change
Function 2: x y 0 65 1 85
rate of change = 85 - 65 = 20
So Function 1 has a greater rate of change than function 2.
what tool or tools would you choose to use to solve this problem?
Answers
Answer:
A tool.
Now I just need to put filler so I'm just gonna copy and paste. Now I just need to put filler so I'm just gonna copy and paste.
A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger go?
Answers
You can use the Pythagorean Theorem to solve this
[tex] a^{2} + b^{2} = c^{2} [/tex]
c is the hypotenuse
a and b are the legs
Put in the values you know
[tex] 1.5^{2} + b^{2} = 1.7^{2} [/tex]
Square the numbers
[tex]2.25+ b^{2} =2.89[/tex]
Subtract 2.25 from both sides
[tex] b^{2} =0.64[/tex]
Take the square root of both sides
b = 0.8
The answer is 0.8km
Hope this helps!
Final answer:
To find out how far south the jogger went, we use the Pythagorean theorem. Given the distances of 1.5 km west and 1.7 km from the start, the jogger went 0.8 km south.
Explanation:
To determine how far south the jogger went, we can use the Pythagorean theorem, as the jogger's path forms a right-angled triangle where one leg of the triangle is the distance west, the other leg is the distance south, and the hypotenuse is the distance from the starting point.
The question states the jogger goes 1.5 km west and ends up 1.7 km from the starting point. We denote the distance travelled south as y. According to the Pythagorean theorem:
west^2 + south^2 = distance from start^2
y = √0.64
y = 0.8 km
So the jogger went 0.8 km south.
A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2
10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft
Answers
we know that
area of triangle=b*h/2
b=s
applying the Pythagoras theorem
h²=12²-s²--------> h=√(144-s²)
so
A=(1/2)*s*√(144-s²)
Part b)
applying the Pythagoras theorem
c²=a²+b²
in this problem
c is the minimum length ladder needed to reach the top of the wall
a=5 ft
b=13 ft
so
c²=5²+13²-----> c²=194--------> c=13.93 ft-------> c=14 ft
the answer is
14 ft
Find the lowest common multiple of 28 and 210
Answers
Answer:
420
Step-by-step explanation:
210 = 14×15
28 = 14×2
The LCM wil be the product of unique factors;
... LCM = 14×15×2 = 420
please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation
Answers
D is 're correct answer
Answer: [tex]x^2 + y^2 = 64[/tex]
Step-by-step explanation:
Since, the equation of a circle that having the center (h,k) and radius r is,
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Here the circle is centered at the origin,
That is, h = 0 , k = 0
Also, the radius of the circle is 8,
That is, r = 8 unit,
Thus, the equation of the given circle,
[tex](x-0)^2 + (y-0)^2 = 8^2[/tex]
[tex]x^2 + y^2 = 64[/tex]
amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?
Answers
108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51
3 meals = $51
1 meal = $51 ÷ 3 = $17
Answer: $17
Answer:
$16.8912
Step-by-step explanation:
We are given that Amelia and her two friends went out to lunch.
If each girl ordered exactly the same meal.
We have to find out the value of price of each meal without tax.
Total cost of meals=$55.08
Cost of 3 meals with tax=$55.08
Sales tax=8% of $55.08
8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]
8% of 55.08= $4.4064
Cost of 3 meals without tax=$55.08-$4.4064=$50.6736
Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912
Hence, the cost of each meal without tax=$16.8912
what is the gcf of 12 78 and 90
Answers
Factors are the numbers, that when multiplied with another number, equal the product.
Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.
The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.
I hope this helps!
expand in logarithmic expression
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Q #9. find the volume of the sphere
Answers
= 523 in³
The correct answer is the first
volume of a sphere=(4/3)*pi*r³
for r=5 in
volume of a sphere=(4/3)*pi*5³-------> 523.33 in³-------> volume =523 in³
the answer is
the volume is equal to 523 in³
in an experiment, the control variable is r and the response variable is s. which variable is not manipulated, but measured, and represents the data being recorded
Answers
Control variables are kept constant between experiments.
Control variable r is not manipulated, but measured and represents the data being recorded.
What is mean by Variables?
A variable is a value that can change, depending on information.
Given that;
In an experiment, the control variable is r and the response variable is s.
Now,
Control variable is a variable that's always constant in an experiment.
It is not a variable of interest in the study, but its controlled because it could influences the outcomes.
Thus, Control variable r is not manipulated, but measured and represents the data being recorded.
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Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
Answers
Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?
Answers
Hey can you please help me posted picture of question
Answers
Probability based on experiments or observation made in given scenario is known as experimental probability.
So, the answer is option A
PLEASE HELP The data below shows the scores of some students on a test: 28, 30, 22, 20, 24, 23, 32
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Farmer Ed has 7000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?
Width = 2x
Length = 7,000-2x
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Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y
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who do you write a function
Answers
beth wants to buy shelves to hold 38 boxes of photos there is a shelf that will hold 8 boxes of photos beth calculates that 38/8=4 r6 how many shelves will beth need to hold all 38 photo boxes
Answers
38/8
=4.75
~5 shelves
thus the answer is 5 shelves
Find the area of 7.1m. Round to the nearest tenth. Use 3.14.
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Which is the graph of f(x) = x2 – 2x + 3? Help its timed, also don't want an verified answers
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to resolve this type of exercise you must in first place to verify The determinant of the function to know if it cuts to the x axis, with the following formula b^2-4ac, if this value is less than zero then the function , do not cut the x axis, now -(2)^2-4(1)(3) = -8, as this value is negative, it means that is less than zero nd the function do not cut the x axis
2) the graph cut the y axis eN Y = 3 for x= o, F(0) = 0+2*0+3 = 3
3) This is the graph
if the customer's order came to $6.22 and he gave you $20.25 what is his change
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A group of students recycled 7 2/3 pounds of glass and 9 3/4 pounds of paper. How many pounds of glass and paper did the students recycle alltogether?
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[tex]\bf \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\\\ \stackrel{mixed}{9\frac{3}{4}}\implies \cfrac{9\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{39}{4}}\\\\ -------------------------------\\\\ \cfrac{23}{3}+\cfrac{39}{4}\qquad \stackrel{LCD~of~12}{\implies }\qquad \cfrac{4(23)+3(39)}{12}\implies \cfrac{92+117}{12} \\\\\\ \cfrac{209}{12}\implies 17\frac{5}{12}[/tex]
The students recycle 17 5/12 pounds of glass and paper all together.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Pounds of glass recycled = 7 2/3
⇒ Pounds of glass recycled = 23/3
Pounds of paper recycled = 9 3/4
⇒ Pounds of paper recycled = 39/4
Thus, total pounds of glass and paper recycled = Pounds of glass recycled + Pounds of paper recycled
⇒ total pounds of glass and paper recycled = 23/3 + 39/4
⇒ total pounds of glass and paper recycled = 209/12
⇒ total pounds of glass and paper recycled = 17 5/12 pounds
Thus, the students recycle 17 5/12 pounds of glass and paper all together.
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Which expression is equivalent to
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The equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Logarithms and indicesTo get the equivalent expressions for the given logarithmic function, we will use the following laws of logarithm:
Laws of logarithm[tex]logab=loga+logb\\ log(\frac{a}{b} )=loga -logb[/tex]Given the logarithmic function:
[tex]log_{12}(\frac{1/2}{8w}) [/tex]
This can be further expressed as:
[tex]log_{12}(\frac{1/2}{8w} )[/tex][tex]log_{12}(\frac{1/2}{8w} )=log\frac{1}{2}-log8w [/tex]
Using the product law of logarithm
[tex]log_{12}(\frac{1/2}{8w}) =log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Hence the equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
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