If g(x) is the inverse of f(x), then by definition of inverse function,
f(g(x)) = g(f(x)) = x
Given that f(x) = 5x - 4, we have
f(g(x)) = 5 g(x) - 4 = x
Solve for g(x) :
5 g(x) - 4 = x
5 g(x) = x + 4
g(x) = (x + 4)/5
One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction. True or false?
Answer: true
Step-by-step explanation:
Answer:
it's true
Step-by-step explanation:
Graph the points K(-2, -1), L(-1, 2), M(2, 4), and N(1,1) in desmos geometry. What is the distance from point M to point N?
options:
4
√10
3
√8
Quadrilateral KLMN has vertices K(-2,-2), L(1,1), M(0,4), and N(-3,5)
It is first translated by (x + 2,y - 1)
then
K(-2,-2) ---> K'(-2 + 2,-2 - 1) = (0,-3)
L(1,1), ---> L'(1 + 2,1 - 1) = (3,0)
M(0,4), ---> M' (0 + 2,4 - 1) = (2,3)
and
N(-3,5) ---> N' (-3 + 2,5 - 1) = (-1,4)
and then translated by (x - 3,y + 4)
K'(0,-3) ---> K''(0 - 3,-3 + 4) = (-3,1)
L'(3,0) ---> L''(3 - 3,0 + 4)= (0,4)
M'(2,3) ---> M'' (2 - 3, 3 + 4)= (-1,7)
and
N'(-1,4) ---> N'' (-1 - 3,4 + 4) = (-4,8)
the coordinates of K" L" M" N" after both translations are
K''= (-3,1)
L''= (0,4)
M''= (-1,7)
and
N'' = (-4,8)
hope im right if not im sorry but it going to be right cuz im good at this stuff for you
Which expression represents a number that is 4 times as great as the quotient of 25 and 5?
A. (25 x 5) x 4
B. 4 ÷ ( 25 ÷ 5 )
C. 4 x ( 25 ÷ 5 )
D. (25 ÷ 5 ) ÷ 4
Answer:
(25 ÷ 5 ) ÷ 4
Step-by-step explanation:
solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.
Answer:
C
Step-by-step explanation:
the quotient of 25 and 5 is 25 ÷ 4 , then multiply this by 4 , so
4 × (25 ÷ 5 ) → C
someone please help me with this problem
Answer:
B
Step-by-step explanation:
x = y²z² ( multiply both sides by y ) , then
xy = y² × y × z² = y³z²
You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually. determine the amount needed in the account such that you can withdraw the needed amount at the end of each period for 15 years. round to the nearest cent. a. $239,364.66 b. $182,713.25 c. $184,311.99 d. $237,288.39
The amount needed in the account is 182,713.25 dollars then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
Then the formula of monthly payment (MP) will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
The formula can be written as
[tex]\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\[/tex]
You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.
The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be
MP = $6951.20
r = 0.00875
n = 30
Then we have
[tex]\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25[/tex]
More about the monthly payment link is given below.
https://brainly.com/question/14064255
Find the perimeter of the rectangle
Answer:
Step-by-step explanation:
perimeter = 2 (l + b)
= 2 {(2/3x+ 10) + (1/3x + 5)}
= (4/3x + 10) + (2/3 + 10)
= 4/3x + 20 +2/3 + 10
= 6/3x + 30
= 3x + 30
ASAP
Which statement is an example of causation?
o When it rains, the playground gets wet.
The height of children increases as their running speed increases.
O The increase in the number of ice-cream cones a vendor sells causes an increase in temperature.
O Students who eat a good breakfast each day are more physically active than those who skip breakfast.
Answer:
I beleive the fist one is.
Step-by-step explanation:
The first one is a possibility, the second has a correlaition, and the third, I believe is a correlation.
The price of a toy is around £50 and it increased by £65, what percentage did it increase
Answer:
130%
Step-by-step explanation:
65/50 = 1.3
1.3x100 = 130%
Find the area of the figure
Step-by-step explanation:
its a square from which a semi circle of radius of 3ft is cut
area of square = 6*6 = 36 ft^2
area of semi circle = π 9 ft^2
total area = 36 - 9π = 7.72 Ft^2
WILL GIVE BRAINLIEST - What is the length of the hypotenuse of the base?
*Picture linked below*
Answer:
4sqrt(2) cm
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
32 = c^2
sqrt(32) = c
c = 4sqrt(2)
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x > 38
Step-by-step explanation:
In the parallelogram find M
Answer:
110º
Step-by-step explanatio:
6x+20 + 4x+10 = 180
180 - 30= 150
150=10x
10x/150
x = 15
6(15) + 20 = 110
A cube has side lengths of 5 inches. What is the surface area, in square inches of the cube?
Answer:
A=6a2=6·52=150in²
Step-by-step explanation: Can you mark me BRAINLIEST PLEASE
Four more than three times a number x is 48
Answer:
x = 14 2/3
Step-by-step explanation:
4 more, +4
3 times a number x
3 * x
= 48
3x + 4 = 48
3x = 44
x = 44/3
x = 14 2/3
PLEASE HELP 90 POINTS & WILL GIVE BRAINLIEST
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alexander sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
8 visitors purchased no costume.
340 visitors purchased exactly one costume.
28 visitors purchased more than one costume.
If next week, he is expecting 600 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
45 people
Step-by-step explanation:
1) Add all of the origanal visitors (376)
2) Find the ratio (28/376) = 0.0744
3) Either 28/376 * 600 OR 0.0744 * 600 (I would recomend the fraction for more accurate answers, but because it says to round to the nearest whole number either will work, but you should still use fraction)
4) 44.6908
5) Round to 45 people
In order for the data in the table to represent a linear function with a rate of change of 5, what must be the value of a? a = 3 a = 8 a = 18 a = 33
To represent the linear function in order for the data the value of a=18.
What is a linear function?
In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
It is given that for a linear function the value is changing at the rate of 5 so we can see in the table as the function independent value is changing then the value of the dependent linear function increases by 5.
So the value of a will be equal to 18.To represent the linear function in order for the data the value of a=18.
To know more about linear function follow
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Which phrase is a description of 2m+7?
A. 7 more than 2 times m
B. 2 more than 7 times m
C.2 times the sum of 7 and m
D.7 times the sum of 2 and m
Answer:
A
Step-by-step explanation:
7 more than 2 times m =
2m+7
HELP NOwwwwWWWW ILL GIVE BRAINLIEST
line A is a perpendicular to line B. if the slope of line A is 3/7 what is the slope of line b?
Answer: -7/3
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
(7x-3) (3x-17) y find value of x and y
Answer:
[tex]21yx^{2}-128xy+51y[/tex]
Step-by-step explanation:
Find x degrees
Circles
Answer:
I'm almost 100% sure of the degrees is 35 or 15
Find the slope of the line.
Simplify completely.
Answer:
slope = 4
Step-by-step explanation:
According to the graphic the line passes through the two points A(-1 , 0) and B(0 , 4)
[tex]\Longrightarrow \text{slope} =\frac{\text{rise} }{\text{run} } = \frac{4 - 0}{0 - (-1)} = \frac{4}{1} = 4[/tex]
Charlie buys a bag of 15 tangerines for 2.85
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Please help me and the answer is not 6.4
Answer:
4.9
Step-by-step explanation:
How do I do this question????
Answer:
I've attached the picture below completed with plotting (red marker used).
hope that helps...
hope this helps!!!!
have a good day :D
25POINTSSSS
does anyone have the answers to End of Semester Test: Geometry B
Edmentum/plato
Answer:
nah i need them too
Step-by-step explanation:
plato
what is the shaded part of the digestive (use 3. 14 as estimate for pi)
35 points for right answer
Answer:
Option A
Step-by-step explanation:
Area of shaded region
Square:
Side = 12 m
Area of square = Side *side
= 12 *12
= 144 square m
Circle:
diameter = side of the square
= 12 m
r = 12/2
r = 6 m
Area of circle = πr²
= 3.14 *6 * 6
= 113.04 m²
Area of the shaded part = area of square - area of circle
= 144 - 113.04
= 30.96 m²
Answer:
A
Step-by-step explanation:
it is option A and my answer got deleted…
there are a total of 126 cats and dogs at an animal shelter. for every 5 dogs, there are 4 cats . how many cats are there in the shelter?
The box-and-whisker plot below represents some data set. What is the range of the
data?
re for Question 1: of 5 points)
Sandy has a ladder that is 16.5 ft long. He wants to lean the ladder against a vertical wall so that the top
the ladder is 15.9 ft above the ground. For safety reasons, he wants the angle the ladder makes with th
ground to be no greater than 76°. Will the ladder be safe at this height? Show your work and draw a diagram
to support your answer.
The ladder will be safe at this height .
What is trigonometric ratios?There are six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
According to question
Sandy has a ladder whose length = 16.5 feet
He wants to lean the ladder against a vertical wall 15.9 feet above the ground.
And he wants the angle the ladder makes with the
ground to be < 76°.
As Perpendicular = 15.9 feet
and Hypotenuse = 16.5
Sin Ф = [tex]\frac{Perpendicular }{Hypotenuse}[/tex]
Sin Ф = [tex]\frac{15.9}{16.5}[/tex]
Sin Ф = 0.9636
Therefore, Ф ≈ 74.49 (approx.)
That means it is safe .
Hence, The ladder will be safe at this height as it is not greater than 76° .
To know more about trigonometric ratios here :
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# SPJ2
For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
Answer:
neither law can be used
Step-by-step explanation:
to solve the given triangle the given measurements are not enough (one more value should be known).