Answers
9514 1404 393
Answer:
g^-1(x) = (7x+1)/(6 -4x)
Step-by-step explanation:
Substitute y for x and solve for y.
g(y) = x
(6y -1)/(4y +7) = x
6y -1 = x(4y +7) . . . . multiply by 4y+7
6y -4xy = 7x +1 . . . . add 1-4xy
y(6 -4x) = 7x +1 . . . . factor out y
y = (7x +1)/(6 -4x) . . . divide by the coefficient of x
[tex]\boxed{g^{-1}(x)=\dfrac{7x+1}{6-4x}}[/tex]
Related Questions
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answers
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Which of these is considered a concurrent power?
A. establishing schools
b. drafting soldiers
c. coining money
d. collecting taxes
Answers
Answer:
d - collecting taxes should be the answer
Answer:
Collecting taxes
Step-by-step explanation:
Concurent powers are powers that can be used by both states and federal governments.
if F(x)=x^2, then evaluate f(-1)
Answers
Answer:
f=-x^2
Step-by-step explanation:
f(-1)=x^2
-f=x^2
f=-x^2
Answer:
f(x) =x^2
Step-by-step explanation:
then
f(-1)=-1^2
f(-1)=-1
Write the expression 8⋅ y ⋅ y ⋅ y ⋅ y using exponents.
Answers
Answer:
8^4 8 to the fourth power
Step-by-step explanation:
Answer:
8 * y^4
Step-by-step explanation:
There are not like terms so you can't combine
y^4 = because there are 4 sets of y's
y = 4x + 2
y= x2 + 6x + 5
Answers
Answer:
im sorry for doing this but i really need points
Step-by-step explanation:
Help me on this question pleaseeeeeee
Answers
Answer:
1/12
1/4 ÷ 3 = 1/4 * 1/3 = 1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/4 * 1/3 = 1/12
since one section of the wall was painted, your answer is 1/12
(6p+4)+(-5p+8)
Plz i need help
Answers
Answer:
p+12
Step-by-step explanation:
I'm assuming you want me to simplify this equation. Okay, first, we eliminate the redundant parenthesis. Now, we have 6p+4+-5p+8, we can simplify this to 6p+4-5p+8 because adding a negative has the same effect as subtraction. Now, we combine like terms (6p and -5p, and 4 and 8). From this, we have 1p+12 (4+8=12, and 6p-5p=1p, or just p). We can simplify this even more to get p+12. I hope this helps!
translate the unit 3 units right and 7 units down what will the new coordinate for C be if A(-4,-5) and B(0,1)
Answers
Answer:
After the transition, point A is at Location (-1, -12) and point B is located at (-2, 7)
Step-by-step explanation:
hope that helps
Math question angles
Answers
Answer:
m∠1 = 52°
m∠2 = 38°
Step-by-step explanation:
x + 33 + 2x = 90
3x = 57
x = 19
m∠1 = 19 + 33 = 52°
m∠2 = 2 ( 19 ) = 38°
There are 4 red apples and 3 green apples. How many red and green apples are there?
Answers
Answer:
7
Step-by-step explanation:
Just add them together...
PLSS help me with this and show your work
Answers
hii
3x-1/5=x+1/3
3[3x-1]=5[x+1]
9x-3=5x+5
9x-5x=5-3
4x=2
x=2/4
x=1/2
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Answer:
X=1/2
Step-by-step explanation:
x=2/4
x=1/2
A= P(1 + rt)
A= P+rt
A - P= rt
r= (A- P)/t
Explain the algebraic error in the student's work.
Then, state how the equation r = (A- P)/t can be
modified to produce the correct result.
Answers
So, to solve for r correctly:
A=P(1+rt)
A=P+Prt
A-P=Prt
r=(A-P)/Pt
How far above ground is the flag pole in inches? Round to nearest inch if needed
Answers
Answer:
Step-by-step explanation:
You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:
[tex]\frac{3}{x} =\frac{1.25}{6}[/tex]
The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:
1.25x = 18 so
x = 14.4 feet, or 14 feet, 4.8 inches
3
through: (3, 4), perp. to y = -x-5
x
Write the slope-intercept form of the
equation of the line described. *
(4 Points)
8
2
A) y = -x + 4
B) y=-
+4
C) y=xx +4
5
D) y = --X+4
OA
OD
Answers
Step-by-step explanation:
I don't really get the question...
can someone help me with my algebra 2 homework pls ?
Answers
Answer:
What do you need help with from it?
Describe, with examples of your own, when you would use long division and synthetic division and how to check polynomial division.
Answers
Identify the parent function and describe the transformation of the equation y=2〖(x+5)〗^3-4
Answers
Answer:
2x - 6 = 5x-10 ... 4. 2x-1= x - 5+ 3x. 2x-1=4x-5. - +5 +5. 5. 3(y-1)=-(4-5). 3y-3 = -4+5. +y
Step-by-step explanation:
F=P(1+r)^t solve for p
Answers
Answer:
the answer is P= F/(1+r)^t
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is y=2x can someone pleas help me
Answers
Answer:
Slope: 2
Step-by-step explanation:
Answer:
x=y/2
Step-by-step explanation:
you divide 2 from both sides then you get y/2
Can anyone please help me with this geometry question!!
Answers
Answer:
-5° < x < 26°
Step-by-step explanation:
The given parameters are;
The length of the rays forming the 62° = The length of the rays forming the 2·x + 10°
The length of the side opposite the 62° = 15
The length of the side opposite the 2·x + 10° angle = 14
Therefore, by construction, we have;
2·x + 10° < 62°
2·x < 62° - 10°
2·x < 52°
x < 52°/2
x < 26°
Also, we have that the angle 2·x + 10° is real, therefore;
0 < 2·x + 10°
-5 < x
Which gives;
-5° < x < 26°.
What is the correct equation to solve for x? Help
Answers
Answer:
tan (46°) = 17/x
Step-by-step explanation:
tan (46°) = 17/x
Answer:
tan(46) = 17/x
Step-by-step explanation:
The tangent of an angle is opposite over adjacent, so the tangent of 46 is 17/x, not x/17. Also, sin(46) = opposite/hypotenuse and cos(46) = adjacent/hypotenuse, but we aren’t given the hypotenuse. Therefore, the answer has to be tan(46) = 17/x.
I will mark you as brainliest if right ✅
Answers
Answer:
it is 15
Step-by-step explanation:
Answer:52
Step-by-step explanation:
Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.
Answers
Answer:
Yes he is correct because -12 and 12 are the opposite.
Step-by-step explanation:
Answer:
He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.
V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening
Answers
Answer:
True false false
Step-by-step explanation:
The following statements can be considered true or false as the case may be as follows;
V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUEDiscussion:
The function takes the form;
V(t) = Value of account.Ultimately,
Statement 1 is true; Statement 2 is false; andStatement 3 is true.Read more:
https://brainly.com/question/3559047
Find the 69th term of the following arithmetic sequence.
18, 25, 32, 39,
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Answer:
18+68(25-18)=18+68(7)
=18+476
=494
Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)
Answers
Answer:
y + 4 = (16/81)(x - 10)
Step-by-step explanation:
The general formula for a parabola passing through (x, y) and with vertex (h, k) is y - k = a(x - h)^2.
Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:
12 + 4 = a(1 - 10)^2, or
16 = 81a
Then a = 16/81, and the desired parabola is
y + 4 = (16/81)(x - 10)
When a regression line was used to model exponential data, the -value was
0.668. If the data are linearized using logarithms and then modeled again
with a regression line, the value will be greater than 0.668.
OA. True
OB. False
Answers
The statement about the correlation coefficient of the exponential and logarithmic model is true
How to determine the true value of the statement?The correlation coefficient, r² is given as:
r² = 0.668
An exponential model and a logarithm model are inverse functions.
This means that, their correlation coefficients are also inverse
Given that the correlation coefficient, r² of the exponential data is 0.668.
And the highest value of the correlation coefficient is 1.
This means that the correlation coefficient, r² of the logarithmic data would be less than 0.668
Hence, the given statement is true.
Read more about regression line at:
https://brainly.com/question/14563186
#SPJ1
Answer:
true
Step-by-step explanation:
Need Help with some Math
Determine the remainder when f(x) = 3x^15 - 5x^12 + 7x^6 - 3x^2 + 12 is divided by x + 1
Answers
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial [tex]f(x)[/tex] being divided by a factor in the form of [tex](x-a)[/tex], then the remainder of the polynomial is given by [tex]f(a)[/tex].
We have the polynomial:
[tex]f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12[/tex]
And it is being divided by:
[tex](x+1)[/tex]
We can rewrite our factor as:
[tex](x-(-1))[/tex]
Therefore:
[tex]a=-1[/tex]
Then our remainder will be:
[tex]f(-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}[/tex]
So, our remainder will be 8.
The diameter of the circle below measures 7 cm,
What is the approximate area of the circle?
A. 14 cm2
B. 22 cm2
C. 38 cm2
D. 154 cm2
Answers
Answer: D
Step-by-step explanation:
Remember the formula -
[tex]A = \pi[/tex] × [tex]r^{2}[/tex]
π = 3.14
[tex]r^{2}[/tex] = 7
7² = 49
3.14 x 49 = 153.94
A = π · r² = π · 72 ≈ 153.93804
153.93804 ⇒ 154 (rounded)
Your answer is D.
Find two consecutive even integers whose sum is 90?