Answer:
B. [tex] {f}^{ - 1} (x) = \frac{1}{3} x + 2[/tex]
Step-by-step explanation:
[tex]f(x) = 3x - 6[/tex]
[tex]y = 3x - 6[/tex]
[tex]x = 3y - 6[/tex]
[tex]3y - 6 = x[/tex]
[tex]3y = x + 6[/tex]
[tex]y = \frac{1}{3} x + 2[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x) = \frac{1}{3} x + 2}}[/tex]
A small fly weighs approximately 2.2 • 10^-3 gram and an average sized gnat weighs approximately 9•10^-4
1. find the sum of the weights of the two insects
2. How much heavier is the fly than the gnat?
Is 0.875 irrational or rational and why?
Katrina said the number
0.101100111000... is a rational number because it consists
only of the digits 0 and 1, and these digits repeat. Do you
agree or disagree? Explain.
determine the value of n and what property is represented.
3n = 1
Find the distance between the points L(7, -1) and M(-2,4)
Answer:
I hope it will help you....
Which of the following is the correct way to express 320 in scientific notation?
A. 3.2 x 10²
B. 32.0 x 10²
C. 3.2 x 10³
D. 0.32 x 10²
Answer:
Hi, there!
Option A. 3.2 x 10²
Step-by-step explanation:
320 written in scientific notation is 3.2 × 102.
Evaluate the expression x²+yz for x=-3, y=5, and z=2
Answer:
I think that the answer is 19.
Step-by-step explanation:
Writing out the problem
x²+yz
Substituting the given values of the variables
(-3)²+(5)(2)
Simplifying (-3)², which is 9
9+(5)(2)
5 times 2 equals 10
9+10
19
I hope this helped you. Enjoy your day, and take care :)
tìm sự hội tụ của
∞
∑ [tex]\frac{4^{n} }{n!}[/tex]
n=1
Answer:
100002
Step-by-step explanation:
bi the react
0.189 divided by 1.75=
Explain how you get this answer
9514 1404 393
Answer:
= 0.108
Step-by-step explanation:
Use a calculator or long division.
When using long division, it is convenient to move the decimal points in both numbers to the right 2 places. This makes the divisor an integer, so makes it easier to keep track of appropriate place value in the quotient.
0.189/1.75 = 18.9/175 = 0.108
please help me out on this question.
Answer:
Aaron: Keep the base the same. Add -5 and -2 and the result is a new exponen. Next simplify 3^-7. The simplified form is 1/2187.
I need the logistics models student guide answer key!!
Answer:
Ans
Step-by-step explanation:
if you get it, please share it with me.
Solve for X. Will give a lot of points. HELP!!!
Answer:
7).
RT = RS + ST
[tex]10 = (2x - 20) + (2x - 18) \\ 10 = (2x + 2x) + ( - 20 - 18) \\ 10 = 4x - 38 \\ 4x = 10 + 38 \\ 4x = 48 \\ { \boxed{x = 12}}[/tex]
8).
LN = LM + MN
[tex](5x - 2) = 12 + (x + 2) \\ (5x - x) = 12 + 2 + 2 \\ 4x = 16 \\ { \boxed{x = 4}}[/tex]
2.
The perimeter of a rectangle is 82 meters. If the length of the rectangle is 20 meters more than the width
of the rectangle, find its length and width.
Answer:
30.5 meters
10.5 meters
Step-by-step explanation:
x = length
y = width
x = y + 20
2x + 2y = 82 (the perimeter of a rectangle)
using the first equation as substitute in the second equation we get
2×(y + 20) + 2y = 82
2y + 40 + 2y = 82
4y = 42
y = 42/4 = 21/2 = 10.5 meters
x = y + 20 = 21/2 + 20 = 21/2 + 40/2 = 61/2 = 30.5 meters
Solve the equation z^4+4z^2+16=0
Answer:
As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.
First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]
z2=−4±42−4×1×16√2×1=−4±16−64√2
=−4±−48√2=−2±12−−√i=−2±23–√i
=4(−12±3√2)i
=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2
=4e2kiπ3
As this is the value of z2 , whereas we want z , we need to take the square roots of both sides
z=4–√ekiπ3+nπ , where n∈0,1
=2e(k+3n)iπ3
=2cis((k+3n)iπ3)
As we have two values of k and two values of n , this gives us four solutions.
Writing these angles in terms of degrees, we have: 60, 120, 240 and 300
Evaluating, we end up with the four solutions
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Step-by-step explanation:
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a
X1,2=(-4+-√[16–16*4])/2
After you solve that you substitute back z^2 = x
9. Use Structure Point K is of the way from |(4,-5) to L(0, -7). a. What are the coordinates of Kif n = 4? b. What is a formula for the coordinates of K for any n?
Dividing the segments, it is found that:
a) The coordinates of K if n = 4 are [tex](5,-frac{9}{2})[/tex]b) [tex]K - J = \frac{1}{n}(J - L)[/tex]----------------------------
The endpoints are [tex]J(4,-5)[/tex] and [tex]L(0,-7)[/tex].Point K is (x,y).Since point K is [tex]\mathbf{\frac{1}{n}}[/tex] of the way from J to L, it means that:[tex]K - J = \frac{1}{n}(J - L)[/tex]
And this is the answer to option b.
----------------------------
Option a:
If [tex]\mathbf{n = 4}[/tex], it has that:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
This is applied to find both the x-coordinate and the y-coordinate of K.
----------------------------
The x-coordinate of K is x.The x-coordinate of J is 4.The x-coordinate of L is 0.Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]x - 4 = \frac{1}{4}(4 - 0)[/tex]
[tex]x - 4 = 1[/tex]
[tex]x = 5[/tex]
----------------------------
The y-coordinate of K is y.The y-coordinate of J is -5.The y-coordinate of L is -7.Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]y - (-5) = \frac{1}{4}(-5 - (-7))[/tex]
[tex]y + 5 = \frac{2}{4}[/tex]
[tex]y = \frac{1}{2} - 5[/tex]
[tex]y = \frac{1}{2} - \frac{10}[2}[/tex]
[tex]y = -\frac{9}{2}[/tex]
The coordinates of K if n = 4 are [tex](5,-frac{9}{2})[/tex]
A similar problem is given at https://brainly.com/question/20847604
Solve for x (2x-6)(x+1)
What is -1 7/8 + -2 1/4? Please explain why and a step by step :).
9514 1404 393
Answer:
-4 1/8
Step-by-step explanation:
Many people find it easier to factor out -1, then do the addition. The fractions need a common denominator before they can be added. A suitable denominator that is a multiple of both 4 and 8 is 8.
The fraction 1/4 = (1/4)(2/2) = (1·2)/(4·2) = 2/8.
__
So, the problem can be rewritten as ...
-(1 7/8 +2 2/8)
= -((1+2) +(7/8 +2/8))
= -(3 +9/8)
The fraction 9/8 is an improper fraction equal to 8/8 +1/8 = 1 1/8. Then the sum is ...
-(3 +1 1/8) = -4 1/8
Write an expression for the operation described below.
multiply 6 by u
Answer:
6u
Step-by-step explanation:
it is the algebraic answer.
hope this helps!
Answer:
the answer is 6×u
Step-by-step explanation:
by and multiply are multiplication
Find the probability that a student earns a grade of A,B, or C
P=
Answer:
Step-by-step explanation:
Answer: 0.86
Step-by-step explanation:
A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.
Write an expression for "the product of 5 and z.”
+
y
Stuck? Review related articles/videos or use a hint.
Answer:
5z
Step-by-step explanation:
Product means multiply
5z
write an expression that removes any perfect square factors in the radicand. Assume all variables are positive.
Which Native American group built cities and had widespread trade throughout the Midwestern region of North America?
giving brainlest
Explanation/answer
Explanation: Because the mound builders built cities and traded far and wide throughout the midwestern region. Which Native American groups built cities? Answer Expert Verified The varying cultures collectively called Mound Builders were inhabitants of North America who, during a 5,000-year period, constructed various styles of earthen mounds for religious and ceremonial, burial, and elite residential purposes. DONT FORGET TO GIVE BRAINILEST
Answer:
mound builders
Step-by-step explanation:
Because the mound builders built cities and traded far and wide throughout the Midwestern region
please help that’s all i just need to make i’m correct it due tomorrow early so please
How can you solve
an equation or inequality by graphing?
Emergency funds are important because they
Answer:
an emergency fund allows you to live for a few months if you lose your job or if something unexpected comes up that costs a fair chunk of money to cover
Answer:
If there ever was an emergency you will need money to pay/afford the injury
Step-by-step explanation:
The temperature of the pool water was 83 degrees during the day and
dropped 7 degrees at night. What was the new temperature.
Answer:
76
Step-by-step explanation:
83-7=76
Consider the function below.
g(x) = 2x - 1
Find the difference quotient below (where h = 0) and simplify your answer.
g(x + h) - g(x) / h
Answer:
Step-by-step explanation:
help please !
Enter your answer and show all the steps that you use to solve this problem in the space provided Simplify the expression (7 + 5) +4.13 - 2
please show me the steps to get the answer
Answer:
14.13
Step-by-step explanation:
(7 + 5) +4.13 - 2
PEMDAS says parentheses first
(12) +4.13 - 2
Then add and subtract from left to right
16.13 -2
14.13
7. Given directed line segment RT below, find the coordinates of S such that the ratio of RS to ST is 5:1. Plot point S
A line can be divided in proportions using ratios. The point at which a line is divided in ratios is calculated using: [tex][\frac{mx_2+ nx_1}{m+n},\frac{my_2+ ny_1}{m+n}][/tex]
The coordinate of S is: [tex](6,\frac{8}{3})[/tex]Given that:
[tex]RS : ST = 5 : 1[/tex]
The coordinates of RT are not given. So, I will solve using a general explanation.
When a line is divided into ratios, the point (S) at which the line is divided is calculated using the following line ratio formula:
[tex]S = [\frac{mx_2+ nx_1}{m+n},\frac{my_2+ ny_1}{m+n}][/tex]
Assume the coordinate of R and T is:
[tex]R = (1,6)\\T = (7,2)[/tex]
[tex]RS : ST = 5 : 1[/tex] means:
[tex]m:n = 5:1[/tex]
So, point S is:
[tex]S = [\frac{5\times 7+ 1 \times 1}{5+1},\frac{5 \times 2+ 1 \times 6}{5+1}][/tex]
[tex]S = [\frac{36}{6},\frac{16}{6}][/tex]
[tex]S = [6,\frac{8}{3}][/tex]
Hence, if the coordinates of R and T are:
[tex]R = (1,6)\\T = (7,2)[/tex]
And the line ratio is:
[tex]m:n = 5:1[/tex]
The coordinate of S is:
[tex]S = [6,\frac{8}{3}][/tex]
Read more about line ratios at:
https://brainly.com/question/3148758
