Answer:
f^-1(x) = (x-8)/4
Step-by-step explanation:
To find an inverse function, simply flip the x and y variables in a equation and then solve in terms of y.
x = 4y + 8
x - 8 = 4y
y = (x-8)/4
And we have our final answer!
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = [tex]-1-i\sqrt{3}[/tex]
[tex]z^{6}=(z^{3})^{2}[/tex]
[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]
[tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]
[tex]=[(1+i\sqrt{3})^3]^2[/tex]
[tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
Convert the decimal to a percent.
3.06 = a number here %
There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years how would one describe the graph of this model
Answer:
There are 640 pigs after 5 years.
Step-by-step explanation:
if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.
graph it by having the X axis the years and the Y axis do it by 40s
Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,
Answer: no it’s not
Step-by-step explanation:
it’s a square
Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
Answer:
A.
Step-by-step explanation:
Diameter = 4.4 cm
Radius = 2.2 cm
Now
Area of the circle = πr²
= (3.14)(2.2)²
= (3.14)(4.84)
= 15.1976 cm²
Answer:
A.
Step-by-step explanation:
D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.
The formula for Area:
A=pir^2.
A=(3.14)(2.2)^2
A=(3.14)(4.84)
A=15.1976
A=15.1976, which is identical to option A.
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
find the solution of pair of equation y=0 and y= -6
Answer:
Step-by-step explanation:
there is no soltion because it is not intersects
Answer:
No solution as it will not intersect.
2. Emma is playing a game with two fair dice.
She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?
Answer:
The required probability is:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
It is given that Emma has two fair dice.
To win, she needs to score 5 using both dice.
Cases, where she can have 5:
{(1,4), (4,1), (2,3), (3,2)}
Let the event be A that she gets a score = 5
Total number of favorable cases, n(A) = 4
Total number of cases for throw of 2 dice, n(S) = 36
These are:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
or
[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]
Using the above formula, the required probability:
[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
So, the required probability is [tex]\dfrac{1}{9}[/tex].
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
12 ft² :)
Step-by-step explanation:
Area of a parallelogram = base * height
4 * 3 = 12
Area of the parallelogram = 12 ft²
SOMEONE HELP ASAP! IM STUCKKKKKK
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
find the circumference use 3.14 for pie r=2 m
Answer:
= 12.56 m
Step-by-step explanation:
The circumference is found by
C = 2* pi *r
C = 2 * 3.14 * (2)
= 12.56 m
Answer:
12.56 meters
Step-by-step explanation:
The circumference of a circle can be found using the following formula.
c= d* pi
We are given the radius. First, we must find the diameter. The diameter is twice the radius.
d=2*r
We know the radius is 2 meters. Therefore, we can substitute 2 in for r.
d=2*2
Multiply 2 and 2
d=4
The diameter is 4 meters.
Now we know the diameter, and can substitute 4 in for d in the circumference formula.
c= d* pi
d= 4 m
c= 4 m* pi
We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.
c= 4 m * 3.14
c=12.56 m
The circumference of the circle is 12.56 meters.
What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15
Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36
Answer:
Its B or 13
Step-by-step explanation:
Find the area of the circle R=6ft
Answer:
Area is 113.097
Step-by-step explanation:
Answer:
113.10 ft²
Step-by-step explanation:
Area of the circle is equal to πr².
Where r is the radius. The radius of the circle is 6 feet.
π(6)²
36π = 113.097336
The area of the circle is 113.10 ft² approximately.
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
i’m not sure how to solve “system of equations”
Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
When something is parallel to each other there what
Answer:
they are 2 lines that look ;like this =
Step-by-step explanation: the 2 lines of the equal sign are parallel
The first two terms in a sequence are 8 and 11. What is the next value if this sequence is arithmetic?
Answer:
14
Step-by-step explanation:
From the question we are given the first term 8,second term 11 and we are to find the third term.
Using the formula:Tn=a+(n-1)d
Where a=first term=8
n=number of terms =3
d= difference between terms( second term -first term)=11-8=3
T3=8+(3-1)3
=8+2(3)
=8+6
The next term =14
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m∠1 = 90°
m∠2 = 55°
Step-by-step explanation:
1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.
2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.
m∠2 + 90 + 35 = 180
90 + 35 = 125
m∠2 + 125 = 180
subtract 125 from both sides to solve for m∠2
m∠2 = 55°
PLEASE ASAP FOR BRAINLIEST
Answer:
27°
Step-by-step explanation:
Angle ABC is 90°
ACB is 63 because it is vertically opposite angle GCJ
Angle CAB is 27° (90-63)
angle x is 27° (vertically opposite CAB)
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
Plz HELP!!!!!!!!!!!!!!!!!!!!!
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know