Answers
Answer
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Step by step
[tex]y = \frac{2x}{5} + 2[/tex]
Swap roles of x and y
[tex]x = \frac{2}{5} y + 2[/tex]
Then
[tex]5x = 2y + 10[/tex]
So
[tex]2y = 5x - 10[/tex]
Hence
[tex]y = \frac{5}{2} x - 5[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Related Questions
What is the circumference of a 12 inch (diameter)
pizza?
Answers
explanation:
formula of a circle: 2x3.14(pi)xradius
so we know that the diameter is 12. in order to find the circumference, we need the radius. to find radius with the given diameter, you divide the diameter by 2. 12/2=6.
using the formula for circumference, 2 x 3.14 x 6 = 37.68
Two tankers contain 35 litres and 50 litres of petrol, the maximum capacity of a container which can measure the petrol of either tanker in exact number of times : *
Answers
Answer:
The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres
Step-by-step explanation:
Given
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
To calculate the required maximum capacity, we simply calculate the HCF of both capacities.
We have:
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
Factorize both:
[tex]L_1 = 5 * 7[/tex]
[tex]L_2 = 2 * 5 * 5[/tex]
The HCF is:
[tex]HCF = 5[/tex]
Explain how rays AB and AC form both a line and an angle.
Answers
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter
Answers
Answer:
hey,
18+5=23
so AD=23
this is the correct answer :)
please mark as brainliest
Simplify the radical.
Answers
Answer:
See below for answers
Step-by-step explanation:
Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]
Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]
hope this helps:))
6. Fill in the blanks:
integer
(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is
Answers
Answer:
O is greater than every
integer
What tool would use to measure around a cup
Answers
Answer:
one tool you can use would be tape measure
. Parallelogram ABCD,
Answers
Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.
Aquí les dejo una pista, la respuesta correcta es: 24 grados.
Answers
The measure of ∠NPO is equivalent to 24°.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Now -
OP = ON
So, this means that ∠OPN = ∠ONP = x° {say}
We can write -
∠OPN + ∠ONP + 132° = 180°
2x = 48°
x = 24°
Therefore, the measure of ∠NPO is equivalent to 24°.
To solve more questions on angles, visit the link below -
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{
Question in English is as follows -
Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Here's a hint, the correct answer is: 24 degrees.
}
2 (x + 3) = x - 4
pls help me
Answers
Answer:
-10
Step-by-step explanation:
2x+6 =x-4
x+6=-4
x=-10
Answer:
-10
Step-by-step explanation:
2 ( x + 3) = x - 4
2x + 6 = x - 4
collect terms
2x -x = -4 -6
x = -10
Hope this helps!
A patio deck in the shape of a parallelogram has three square cutouts for trees to grow through each square has a side length of 4 1/2 ft what area of wood boards is needed to cover the deck while leaving room for the square cutouts
Answers
Answer:
1048.05 square feet.
Step-by-step explanation:
The area of the deck is 50.4 x 22 = 1108.8 square ft.
The area of 1 cut out is 4.5 x 4.5 = 20.25
There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.
The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.
Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?
Answers
Step-by-step explanation:
Mass = Density × Volume or m=pV
Density = 6
Volume = 13
6 × 13 = 78
The mass of the iron ball is 78.
===================================================
Work Shown:
d = density = 6 grams per cm^3
m = mass = unknown
v = volume = 13 cm^3
--------
d = m/v
dv = m
m = dv
m = 6*13
m = 78 grams
A right triangle has side lengths 5, 12 and 13 as shown below use these lengths to find cosB tan B and sin B
PLZ SOMEONE HELP BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
Please help will mark the brainliest
Answers
Answer:
452.4 mi^2
Step-by-step explanation:
area of circle=πr^2
=22/7*(12)^2
=3.142*144
=452.448
=452.4 mi^2
Answer:
C) 452.4 mi²
Step-by-step explanation:
a = πr²
a = π * 12²
a = π * 144
a = 452.3893421169
a = 452.4
Answer all please I need this :o
Answers
Answer:
18. d
19. c (not sure)
20. c
Answer:
18) d. Synopsis
19) c. Duration
20) c. Pacify
Step-by-step explanation:
18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!
19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)
20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.
Hope this helps, good luck have a good day!
A student says that the value of the expression 5 + 25 /5 is 6.What error did the student make?
Answers
Answer:
The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.
Step-by-step explanation:
Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)
Answers
Answer:
it has a slope of 1/3 and a point on the graph is (2,-3)
Step-by-step explanation:
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)
Answers
Answer:
y = (-1/4)x
Step-by-step explanation:
the factor of x is in a line equation the slope of the line.
it residents actually the ratio of y/x.
in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.
a perpendicular line just reverses that ratio.
now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)
=> -1/4
so, our wanted line equation must be in the form of
y = (-1/4)x + c
c is the offset of the line from the (0,0) point in y direction.
so, what is c ?
now we use the information of the point that is stored to be in that line : (4,-1)
=> -1 = (-1/4)×4 + c
=> -1 = -1 + c
=> c = 0
therefore, the desired line is
y = (-1/4)x
Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?
Answers
Answer:
80.01>11.69n
Explanation:
100-19.99=80.01
she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answers
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answers
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
Learn more about compound interest here;
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The base and height in a figure are always what?
Answers
Answer:
Perpendicular
Step-by-step explanation:
By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.
Please help this is the only one im stuck on...10 points
evaluate the expression for n = 2.
3 − 6n =
Answers
Answer:
9 is the answer
Step-by-step explanation:
3- 6(2) = 9
Answer:
9
Step-by-step explanation:
(6)×2-3. = 12-3=9. hope helpful answerQuestion and choices are in the photo please explain the answer
Answers
Answer:
B
Step-by-step explanation:
expand the brackets
2x² - x + 10x -5 = 3x + 15
combine like terms
2x² + 9x - 5 = 3x + 15
2x² + 6x - 20 = 0
divide through by 2
x² + 3x - 10 = 0
factorise
determine factors of -10x² that would add up to 3x
they are 5x - 2x
(x² -2x) (5x - 10)
x(x - 2) +5(x-2)
x + 5 = 0
x = -5
x - 2 = 0
x = 2
Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?
Answers
Answer:
please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question
Answer:
13 minutes lifting weights.
Step-by-step explanation:
Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.
i need to know how to do translations
Answers
In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred
Answers
Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answers
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answers
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answers
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.