Answer:
Step-by-step explanation:
Imagine the clock as a normal circle, with the minute hand as its radius.
a. Here, we are asked for the circumference of a small arc.
Find the circumference of whole clock:
pi x r x 2 = 3.14 x 2.8 = 8.792
Now calculate the distance in just that section of the clock
36/720 x 8.792 = 1/20 x 8.792 = 0.4396
need this ASAP. pls answer this question
Answer:
this is ur answer so memories
Which equation represents a line with a slope of zero?
Answer:
The equation will not have an x coordinate. It will look like y=....
Step-by-step explanation:
Answer:
Any equation that is y = b
Step-by-step explanation:
If the slope is 0, m = 0 in y = mx + b. That means when we plug it in:
y = 0x + b
y = b, where b is a constant.
identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2
Answer:399
Step-by-step explanation:
((a+b)/2) * h
((13+25)/2) * 21
399
<!> Brainliest is appreciated! <!>
I need help with this question
Answer:
y = -3x + 8
Step-by-step explanation:
You have to find the slope first using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Insert any two points in the equation (1,5) and (2,2) and you get -3.
Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).
This makes it y = -3x + 8.
When graphed, which function has a horizontal asymptote at 4?
Hope you Understand :)
Answer:
f (x) = 2(3x) + 4
Step-by-step explanation:
Mr. Wayne uses his cell phone for work. He is reimbursed $45.95 each month. How much will Mr. Wayne himself pay for his family's cell phone service over the 3-year period? Explain your thinking.
Answer:
$1654.20
Step-by-step explanation:
There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:
$45.95×36=
$1654.20 for three years.
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?
Answer:
a) 0.3.
b) 1.
Step-by-step explanation:
Note: The scale of probability is not given properly. So, the probability of following events are given below:
It is given that,
Total number of sweets in a bag = 10
Red sweets = 4
Green sweets = 2
Yellow sweets = 3
Purple sweet = 1
a)
We need to find the probability of choosing a yellow sweet.
[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(Y)=\dfrac{3}{10}[/tex]
[tex]P(Y)=0.3[/tex]
Therefore, the probability of choosing a yellow sweet is 0.3.
b)
We need to find the probability of choosing a sweet that is not orange.
[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(O')=1-\dfrac{0}{10}[/tex]
[tex]P(O')=1[/tex]
Therefore, the probability of choosing a sweet that is not orange is 1.
Probabilities are used to determine the chances of events.
The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0The probability scale is not given; so, I will give a general explanation.
The given parameters are:
[tex]Red = 4[/tex]
[tex]Green = 2[/tex]
[tex]Yellow= 3[/tex]
[tex]Purple = 1[/tex]
[tex]Total = 10[/tex]
(a) The probability of choosing a yellow sweet
This is calculated using:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{3}{10}[/tex]
Divide 3 by 10
[tex]P(Yellow) =0.3[/tex]
Hence, the probability of choosing a yellow sweet is 0.3
(b) The probability of choosing a sweet that is not orange
This is calculated using:
[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]
So, we have:
[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]
Divide 0 by 10
[tex]P(Not\ Orange) = 1 - 0[/tex]
[tex]P(Not\ Orange) = 1[/tex]
Hence, the probability of choosing a sweet that is not orange is 0
Read more about probabilities at:
https://brainly.com/question/251701
Las+salchichas+vienen+en+paquetes+de+6+y+los+panes+para+panchos+se+envasan+en+paquetes+de+8+unidades+¿Es+cierto+que+si+se+preparan+96+panchos+se+usa+una+cantidad+completa+de+paquetes+de+salchichas+y+de+panes?
Answer:
Es cierto se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho.
Step-by-step explanation:
Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:
96/6 = 16
96/8 = 12
Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.
3. Two-thirds of a number plus 4 is 76. What is the number?
Answer:
108
Step-by-step explanation:
2/3x+4=76
2/3x=72
x=72*3/2
x=108
Answer:
Do the opposite of what they say
76 - 4 = 72
72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108
108 is the number
now to double check
108 x 2/3 = 216 / 3 = 72
72 + 4 = 76
108 is the number
Hope this helps
Step-by-step explanation:
Find the value of x in each case:
Answer:
angle FGE = 36
angle GEL = 72
and angle GFH = 144
Step-by-step explanation:
well you know that angle GEF = 180 -2x
and that angle GFE = 180 -4x
so all the angles in triangle GEF must add to 180
so you have 180 = 180 -2x + 180 -4x + x
180 = 360 -5x
5x = 180
x = 36
so angle FGE = 36
angle GEL = 72
and angle GFH = 144
At the city museum, child admission is $6.20 and adult admission is $9.50. On Friday, tickets were sold for a total sales of $1082.00. How many child tickets were sold that day?
Answer:
98child tickets were sold that day
Step by step Explanation:
Let the number of children= A of the number of adult
Then
6.20C + 9.50A = 1082.0
From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say
A= 4C
Then substitute into the above equation
6.20C + 9.50A = 1082.0
6.20C + 9.50(4C) = 1082.0
6.20C + 38C= 1082.0
44.2C =1082.0
C= 24.48
But we know that
A= 4C
A=4* 24.48
A= 97.9
Therefore ,98child tickets were sold that day
1. Analyze the following pattern: 1, 2, 5, 10, 17,
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes. Which comparison of the detergents is accurate? Detergent A uses exactly 1 fluid ounce per load more than detergent B. Detergent A uses exactly 1 fluid ounce per load less than detergent B. Detergent A uses less than 1 fluid ounce per load more than detergent B. Detergent A uses less than 1 fluid ounce per load less than detergent B.
Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
Given the following :
DETERGENT A:
48 fluid ounces
Cleans 16 loads of dishes
DETERGENT B:
76 fluid ounces
Cleans 38 loads of dishes
DETERGENT A:
Fluid ounces per load :
48 / 16 = 3 (3 fluid ounce per load)
DETERGENT B:
Fluid ounce per load :
76 / 38 = 2 ( 2 fluid ounce per load)
3 - 2 = 1 fluid ounce per load.
Answer:
Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
Abel’s age in 2019 will be equal to the sum of the digits of his year of birth. If Abel is an adult, how old is Abel now?
Answer:
23
Step-by-step explanation:
If Abel was born in 1994, in 2019 he would be 23.
1+9+9+4=23
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
Answer :
1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)
3x square + 4 x minus 15 is equals to zero
Answer:
x = 5/3 or x = -3
Step-by-step explanation:
3x² + 4x - 15 = 0
Factor left side.
(3x - 5)(x + 3) = 0
Set factors equal to 0.
3x - 5 = 0
3x = 5
x = 5/3
x + 3 = 0
x = -3
Answer:
x = -3 OR x = 5/3
Step-by-step explanation:
=> [tex]3x^2+4x-15 = 0[/tex]
Using mid term break formula
=> [tex]3x^2+9x-5x-15 = 0[/tex]
=> 3x(x+3)-5(x+3) = 0
Taking x-3 common
=> (x+3)(3x-5) = 0
Either
x+3 = 0 OR 3x-5 = 0
x = -3 OR x = 5/3
I COULD REALLY USE THE HELP Complete the following problems. Show all your work. Round all side lengths to the nearest tenth and
all degrees to the nearest degree. When applicable, leave your answers in radical form.
1. Name the following sides of the triangle.
Answer:
see attachment
Step-by-step explanation:
When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.
5. The Pythagorean theorem applies for finding the unknown side:
DF = √(FE^2 -DE^2) = 3.0
The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:
Sin = Opposite/Hypotenuse
opposite angle = arcsin(Opposite/Hypotenuse)
In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:
∠F = 59°
∠E = 31°
__
6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).
HA problems (6c, 6e, 6f)
We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.
Opposite = Hypotenuse×Sin
x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c
Then the Adjacent leg is found using the cosine relation:
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse×Cos
y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c
As in problem 5, the missing angle is computed as the complement of the given angle.
missing angle = 90° -60° = 30° . . . . . . for problem 6c
__
LA problems (6a, 6b, 6d)
The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.
Hypotenuse = Opposite/Sin
u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a
As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.
v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a
And the missing angle is computed the same as for HA problems.
missing angle = 90° -30° = 60° . . . . for problem 6a
_____
The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.
_____
Comment on radians
When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square? 16 (5 minus 4 y): Each side measures 5 minus 4 y units. 16 y (5 minus 4): Each side measures 5 minus 4 units. 4 (20 minus 16 y): Each side measures 20 minus 16 y units. 4 y (20 minus 16): Each side measures 20 minus 16 units.
Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Step-by-step explanation:
Hi, to answer this question we have to know the formula of the perimeter of a square:
Perimeter = side length x 4
Since:
p = 80-64y = s x 4
Solving for s (side length)
80-64y /4 = s
s = 20- 16 y
So, the correct option is:
4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Feel free to ask for more if needed or if you did not understand something.
Answer:
i believe its C
Step-by-step explanation:
plzz help on Question B nd C plzz
Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
62.40
Step-by-step explanation:
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
2.95x+39.95
O 39.95x+2.95
O 2.95x-39.95(12)
2.95x+39.95(12)
first answer gets brainliest if you hurry make the answer simple and short no explanation required
Answer:
2.95x+39.95(12).
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
hope this helps
The following quadrilateral is a parallelogram. An illustration of parallelogram MLKJ. Angle L measures 6x+18 degrees and angle J measures 8x-2 degrees. The measure of angle L is ___ degrees.
Answer:
m∠L = 78°
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides are equal and parallel.
2). Diagonals are equal in measure .
3). Opposite angles are equal in measure.
4). Consecutive angles are supplementary
5). Diagonals bisect each other.
By the property number (3),
m∠J ≅ m∠L
(8x - 2) = (6x + 18)
8x - 6x = 18 + 2
2x = 20
x = 10
Therefore, m∠L = (6x + 18)
= 60 + 18
= 78°
Write the following using algebraic notation, using the letter x for any
unknown numbers
I think of a number, add one, then double the result.
Answer:
x+1=x *x
Step-by-step explanation:
Answer:
x+1= x*x
Step-by-step explanation:
hope this helps
What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have
[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]
We have everything we need to calculate the volume of the cone.
[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]
If we want to get the approximate volume, we must use the approximation of the number π.
[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]
[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]
Answer:
The person above me is wrong, the answer is 3
Step-by-step explanation:
I got it right on the test
CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ
Answer:
Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)
Step-by-step explanation:
Answer on Question # 55533 - Chemistry - General chemistry
Question:
1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1
kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction
N2O(g) + NO2(g) = 3 NO(g); Show your work.
2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the
following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):
CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ
3. Using average bond enthalpies, predict which of the following reactions will be most
exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +
2 OF2(g)
Solution
1)
N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)
2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)
2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)
2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)
N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ
2)
CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ
ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);
ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn
ΔHf°(C2H2) = 227.4 kJ/mol
ΔHf°(Ca(OH)2) = -985.2 kJ/mol
ΔHf°(H2O) = -285.8 kJ/mol
ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol
3)
a) C(g) + 2 F2(g) = CF4(g)
b) CO(g) +3 F2(g) = CF4(g) + OF2(g)
c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)
C-F bond enthalpy 440 kJ/mol
C=O bond enthalpy in carbon dioxide 805 kJ/mol
C=O bond enthalpy in carbon monoxide 1077 kJ/mol
O-F bond enthalpy 184 kJ/mol
F-F bond enthalpy 153 kJ/mol
a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic
b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ
c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ
Help Find the lateral area of this pyramid whose base is an equilateral triangle. Its slant height is 14 ft and the length of each side of the triangular base is 6 ft. [? ] ft
Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
What is the lateral area of a triangular pyramid?The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).
Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.
The equation for the lateral area of a square pyramid is 3/2 (6×14)
= 3×3×14
= 126 square feet
Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
Learn more about the lateral surface area pyramid here:
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Which statement is true? StartFraction 13 Over 14 EndFraction greater-than StartFraction 25 Over 28 EndFraction StartFraction 21 Over 45 EndFraction less-than StartFraction 4 Over 9 EndFraction StartFraction 5 Over 6 EndFraction greater-than StartFraction 11 Over 12 EndFraction StartFraction 4 Over 5 EndFraction less-than StartFraction 8 Over 25 EndFraction aswer for a branlist
Answer:
13/14 > 25/28Step-by-step explanation:
Given the inequalities 13/14 > 25/28, 21/25 < 4/9, 5/6>11/12, 4/5< 8/25, in order to know which of the statement is true, we have to simply solve each of the inequality as shown
We will have to convert all then fractions to decimals because It is quite difficult to ascertain the true statement with fraction.
for 13/14 > 25/28
0.93 > 0.89
21/25 < 4/9,
For 0.84< 0.44
This statement is not true because 0.84 us greater than 0.44 not less than 0.44
for 5/6>11/12, this is equivalent to 0.83>0.92. This statement is also false because 0.83 is less than 0.92 not greater than 0.92
For 4/5< 8/25, this is also similar to 0.8<0.32. This statement is also false because 0.8 is greater than 0.32 not less than 0.32
From the above calculation, only 13/14 > 25/28 is the true statement
Answer:
13/14 > 25/28
Step-by-step explanation:
pwease jelp, I tried
Four circles of equal radii are centered at the four vertices of a square. These 4 circles touch a fifth circle of
equal radius placed inside this square. The ratio of the shaded area of the circles to the un-shaded area of the
circles is....
A) 5:2
B) 2:3
Ø 3:2
D) 2:5
Answer:
B. 2:3
Step-by-step explanation:
It's easier to see when counting by quarters of a circle instead of a whole circle.
We start with the shaded. We know the fully shaded one has 4 quarters and we can count 4 more surrounding it. That's a total of 8. Since there are 4 quarters in each circle, we can divide it by 4 to get 2 full circles that are shaded.
Next is the white, they come in groups of 3 quarters since one of the quarters are shaded. There are 4 groups of these so we can do 3x4 to figure out the total number (or just count them out). We get a total of 12 white quarters. Divide by 4, we have 3 full white circles.
The ratio is 2:3
The ratio of the shaded area of the circles to the un-shaded area of the circles is 2:3. Option B is correct.
The formula for calculating the area of a circle is expressed as:
A = πr²
Let the area of the shaded part be [tex]A_s[/tex] and the area of the unshaded part be [tex]A_u[/tex]
The area of the shaded part is 2 circles while the area of the total unshaded part is 3 circles.
[tex]A_s = 2(\pi r^2)[/tex] and [tex]A_u = 3(\pi r^2)[/tex]
Taking the ratios of the areas
[tex]\frac{A_s}{A_u}=\frac{2 \pi r^2}{3 \pi r^2}\\ \frac{A_s}{A_u}=\frac{2}{3}[/tex]
Hence the ratio of the shaded area of the circles to the un-shaded area of the circles is 2:3
Learn more here: https://brainly.com/question/23388485
A triangle has vertices at (4.-2), (2.2), and (4.6). What are the vertices of the image of the triangle after applying the
translation (x, y)=(x - 1, y + 2)?
Answer:
see explanation
Step-by-step explanation:
The translation rule (x, y ) → (x - 1, y + 2 )
Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus
(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )
(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )
(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )
if f(x)=kx^3-1 and f^-1 (15)= 2, find k
Answer:
k = 2
Step-by-step explanation:
Okay, the first thing we need to do here is find the inverse of the equation given.
f(x) = kx^3 -1
Let f(x) = m
m = kx^3 -1
m + 1 = kx^3
(m+1)/k = x^3
x = 3x√(m+1)/k
Thus, the inverse is;
f^-1(x) = 3x√(x + 1)/k
now let’s make the substitution for f^-1(15)
2 = 3x√(15+1)/k
2 = 3x√(16/k
Cube both sides
2^3 = 16/k
8 = 16/k
8k = 16
k = 16/8 = 2