find the inverse of the following function g(x) = -2x+3
Answers
Answer:
[tex]g(x)^-1 = \frac{-x}{2} +\frac{3}{2}[/tex]
Step-by-step explanation:
1) swap x and y
x = -2y + 3
2) solve for y
[tex]x=-2y+3[/tex]
[tex]2y=-x+3[/tex]
[tex]y=\frac{-x}{2} + \frac{3}{2}[/tex]
Answer:
[tex]\frac{y+3}{2}[/tex]
Step-by-step explanation:
Related Questions
if I eat 230 gumballs and there was a total of 1696 and my friend takes the rest of the 1760 gumballs. how did we get 1760 if there was 1696 and I ate 230. how many gumballs was added?
Answers
294 gumballs were added because if u subtract 230 from 1696 you get 1466 which was the number you had when you are 230 gumballs so you take 1466 and subtract it from 1760 you get the amount of gumballs that was added.
just like this other lady said 294 gumballs were added
If m rst= 12x-1, m rsu = 9x-15 and m ust = 53 find each measure
Answers
Answer:
x = 13
m<RST = 155°
m<RSU = 102°
Step-by-step explanation:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
m<UST + m<RSU = m<RST (angle addition postulate)
53 + (9x - 15) = (12x - 1) (substitution)
Solve for x
53 + 9x - 15 = 12x - 1
53 - 15 + 9x = 12x - 1
38 + 9x = 12x - 1
Subtract 12x from each side
38 + 9x - 12x = 12x - 1 - 12x
38 - 3x = - 1
Subtract 38 from each side
38 - 3x - 38 = -1 - 38
-3x = -39
Divide both sides by -3
x = 13
m<RST = (12x - 1)°
Plug in the value of x
m<RST = 12(13) - 1 = 156 - 1 = 155°
m<RSU = (9x - 15)°
m<RSU = 9(13)x - 15 = 117 - 15 = 102°
The measures of each angle are:
m<RSU = 102°
m<RST = 155°
m<UST = 53°
The given parameters are:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
Note that:
m<RST = m<RSU + m<UST
Substitute m<RST = 12x - 1, m<RSU = 9x - 15, and m<UST = 53 into the equation above in order to solve for x
m<RST = m<RSU + m<UST
12x - 1 = 9x - 15 + 53
12x - 9x = -15 + 53 + 1
3x = 39
x = 39/3
x = 13
To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1
m<RST = 12(13) - 1
m<RST = 155°
To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15
m<RSU = 9(13) - 15
m<RSU = 102°
Learn more on angles here: https://brainly.com/question/14362353
What is the greatest common factor of 20 and 36?
Answers
Answer:
4
Step-by-step explanation:
i did math
Answer: 4
Step-by-step explanation:
The Greatest common factor is the largest factor that both numbers share, so find their factors,
Factors of 20: 1,2,4,5,10 and 20
Factors of 36: 1,2,3,4,6,9,12,18, and 30
The largest factor that both numbers share is 4
Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]
Answers
Answer:
The answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".
Step-by-step explanation:
[tex]\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}[/tex]
Solve the L.H.S part:
[tex]\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right][/tex]
After calculating the L.H.S part compare the value with R.H.S:
[tex]\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\[/tex]
[tex]\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\[/tex]
In equation (i) multiply by 3 and subtract by equation (iii):
[tex]\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}[/tex]
put the value of c in equation (i):
[tex]\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\[/tex]
In equation (ii) multiply by 3 then subtract by equation (iv):
[tex]\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\[/tex]
put the value of d in equation (iv):
[tex]\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2[/tex]
The final answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".
Question 3 (25 points)
A church group interested in promoting volunteerism in a community chooses an SRS of 200 community addresses and
sends members to visit
these addresses during weekday working hours to inquire about the residents attitudes toward volunteer work. Sixty percent of all
respondents say that they would be willing
to donate at least an hour a week to some volunteer organization. Bias is present in this sample
design. Identify the type of bias involved and state whether you think the
sample percent obtained is higher or lower than the true population
percent.
Answers
Answer:
if the polling were done during working hours, those who work outside the home would not be included-undercoverage of the groupe. the 60% is probably higher than the true population proportion. face-to-face visits might make those at home likely to say they would volunteer.
Step-by-step explanation:
Solve for q: q/10 = 4 q=?
Answers
Answer:
40
Step-by-step explanation:
[tex] \frac{q}{10} = 4[/tex]
..
Convert element into fraction :4=4/1
[tex] \frac{q}{10} = \frac{4}{1} [/tex]
cross multiply
[tex]q = 10 \times 4 \\ q = 40[/tex]
Answer:
q=40
Step-by-step explanation:
[tex]\frac{q}{10}=4\\10(\frac{q}{10})=4(10)\\q=40[/tex]
PLEASE HELP! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answers
if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct
if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s
lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors
hope this helps, and is correct :)!
HELPP PLEASEE pleaseee ❗️❗️❗️
Answers
Answer:
I'm pretty sure its C.
Step-by-step explanation:
( -6, 4 ), ( -6, -2 ) the x stays the same but the y goes down by 6 points.
( 3, 4 ) if you subtract 6 from 4 you get -2 making the next coordinate ( 3, -2 ) or C.
Hopefully this isn't too late! :)
what is 2x+4=14
please hurry
Answers
Explanation: subtract 4 on both sides than divide 2 on both sides and tada
V64
를
(16
4
V20
5
Which of the following is an irrational number
Answers
Answer: V20
Step-by-step explanation:
Let's go down the list, shall we?
First, V64. I am going to assume that the V is a square root. If you take the square root of 64 you would get 8, which is not an irrational number.
2/2 would be one of the easiest, its just 1 if you simplify it
(16 would be a rational number, even if you took the square root.
4 is four, a rational number
V20 is an Irrational number, again, assuming that the V is a square root symbol, and you took the square root of it, you would get 4.472135955... an infinite number without a pattern
And 5 is just five, a whole number
Pre-cal I don’t understand much
Answers
Answer:
33
Step-by-step explanation:
f(x) = 4x-3
Let x= 9
f(9) = 4*9 -3
36-3
33
Answer:
[tex]\Huge \boxed{{x=3}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
f(x) = 4x - 3
f(x) = 9
Substituting.
9 = 4x - 3
Adding 3 to both sides.
12 = 4x
Dividing both sides by 4.
3 = x
[tex]\rule[225]{225}{2}[/tex]
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
27.
Step-by-step explanation:
If x >= 4 then f(x) = 5x - 3.
So, as 6 is greater than 4 we have
f(6) = 5(6) - 3
= 30 - 3
= 27.
Least to greatest is the same as ascending order or descending order?
Answers
Answer:
It is the same as ascending order
Step-by-step explanation:
It is the same as ascending order becuase Least is small and Greatest is big so you are going upwards.
Hope This Helps :)
Answer:
Ascedning order
Step-by-step explanation:
Decend typically means "go down", in this case greatest to least goes from the biggest number to the smallest ( go down from biggest to smallest). Ascending means to "rise" or "go up", so to starts at the smallest value ascedning to the biggest value.
least to greatest = ascending
greatest to least = descending
Which of the following numbers can be expressed as repeating decimals? 4 over 7, 2 over 5, 7 over 8, 4 over 9
Answers
Answer:
4 over 9
Step-by-step explanation:
4 over 7 = 0.571428571
2 over 5 = 0.4
7 over 8 = 0.875
4 over 9 = 0.444444444444444
Answer:
4/7 and 4/9
Step-by-step explanation:
PLEASE RESPOND ASAP!!what is the value of z in the figure below??
Answers
Answer:
126
Step-by-step explanation:
By cyclic quadrilateral theorem:
[tex](180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126[/tex]
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answers
Answer:
x = 4
Step-by-step explanation:
∆ABC ~ ∆DEF
--> AB/DE = BC/EF
--> x / 3 = 8 / 6
--> x / 3 = 4 / 3
--> x = 4
what is the simplified form of this expression? sqrt ((1764x^20)/(36x^4))
assume x =/ 0
Answers
Answer:
{x!=0, sqrt((1764 x^20)/(36 x^4))} = {x!=0, 7 sqrt(x^16)} thus: 7x^16
Step-by-step explanation:
Evaluate 5w + 1p for w = 3 and p =
- 6
Answers
Answer:
9
Step-by-step explanation:
We are given the expression:
[tex]5w+1p[/tex]
and asked to evaluate for w=3 and p= -6. Therefore, we must substitute 3 in for w and -6 in for p.
[tex]5(3)+1(-6)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Multiply 5 and 3.
⇒ 5*3=15
[tex]15+1(-6)[/tex]
Multiply 1 and -6.
⇒1*-6= -6
[tex]15 + -6[/tex]
Add 15 and -6.
⇒ 15 + -6= 15-6= 9
[tex]9\\[/tex]
The expression 5w+1p when evaluated for w=3 and p= -6 is 9
NEED ANSWER NOW!!! Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D. Suppose Steven combined the table tennis balls into one large bag instead of two individual bags. What would be the P(1, B) without replacement?
Answers
Answer:
P(1, B) = 1/12
Step-by-step explanation:
if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.
The probability of drawing 1 numbered ball in the first attempt and then drawing B numbered ball in the second attempt is 1/42.
What is conditional probability ?Conditional probability is when occurrence of an event depends upon the occurrence of another event.In case of without replacement one event is dependent on another.
According to the given question
Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D and Steven combined the table tennis balls into one large bag instead of two individual bags.
Here we don't need to find the probabilities individual bags.
So after he combined them into one large bag there are 7 balls in that large bag namely 1, 2, 3, A, B, C, D
P(1) = 1/7
with without replacement there is now 6 balls in the large bag
∴ p(B) = 1/6
So the probability of drawing 1 numbered ball in the first attempt and then B numbered ball in the second attempt is p(1)p(B)
∴P(1,B) is
= (1/7)×(1/6)
= 1/42.
Learn more about probability here :
https://brainly.com/question/743546
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Which of the following expressions are equivalent? Justify your reasoning,
А. 4 √x^3
B. 1/ x^-1
C. 10 √x^5 times x^4 times x^2
D. X1/3 times x^1/3 times x^1/3
Answers
Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
Gift tax falls under which tax category?
a. Payroll tax
b. Property tax
c. Purchase tax
d. Wealth tax
Answers
Answer:
D. Wealth tax
Step-by-step explanation:
The gift comes under the category of wealth tax. Then the correct option is D.
What is Wealth-tax?The entire or market worth of personal assets was subject to a wealth tax. Wealth tax, also known as capital tax or equity tax, was levied on the wealthy.
Specifically defined assets were subject to the wealth tax, including gifts, automobiles, jewelry, bullion, yachts, boats, and airplanes (save those used for business purposes), urban land, and cash in hand over a certain sum.
More about the Wealth-tax link is given below.
https://brainly.com/question/2420102
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For a regular 15-sided polygon, what is the degree of rotation?
Answers
Answer:
360/15 = 24
Step-by-step explanation:
If you travel 70000 M at a rate of 25 m/s and , how long does it take to complete the trip?
Answers
Answer:
Time=2800 seconds.
Time in minutes= 46.67 minutes
Time in hours= 0.778 hours
Step-by-step explanation:
Distance traveled= 70000 m
Rate or speed of travel= 25m/s
To calculate the time for the travel, we multiply the rate of travel by the distance covered or traveled.
Rate= distance/time
Time= distance/rate
Time= 70000/25
Time=2800 seconds.
Time in minutes= 2800/60
Time in minutes= 46.67 minutes
Time in hours = 2800/(60*60)
Time in hours= 2800/360
Time in hours= 0.778 hours
Use the fundamental theorem of algebra to determine the number of roots for each polynomial function
shown.
f(x) = (x2+6)2
Answers
Answer:
4 roots.
Step-by-step explanation:
The number of roots is equal to the degree of the function
For example
f(x) = x^2 has 2 roots because the highest exponent is 2.
f(x) = x^3 + 2x - 1 has 3 roots , because the function is of degree 3.
(x^2+ 6)^2 = x^4 + 12x^2 + 36 so because of the x^4 it is of degree 4 and has 4 roots.
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain. explain it short cus im not typing all that.
Answers
Answer:
geometric progression
Step-by-step explanation:
RICHIE! ANSWER MY COMMENTS!
WILL GIVE BRAINLIEST !!!!!!!!!
Elevator Task: Tyler’s soccer team is staying at a high-rise hotel in San Diego for a tournament. Tyler leaves his hotel room and gets on the elevator to gather his team. He goes down 6 floors to Ethan’s room and then up 4 floors to Jose’s room. Next they go up 5 floors to get their coach, and then they go down 8 floors to the assistant coach’s room. Lastly, they go down 3 floors and end up in the lobby. What floor is Tyler’s hotel room on?
Answers
Answer:
8
Step-by-step explanation:
x-6+4+5-8-3=0
x-8=0
x=8
Which bet represents this rectangular prism?
Answers
Answer:
I think it might be the top left one.
Step-by-step explanation:
Algebra 2: Finding Values of Product and Quotient Functions
Answers
Answer:
(rs)(4) = 8x
(r/s)(3) = 3
Step-by-step explanation:
(2√x (√x)) (4)
(2x) (4)
8x
(√x / √x) (3)
1 (3)
3
Answer:
The answer to the first one is 8.
The answer to the second one is 2.
Step-by-step explanation:
Just got it right on edge.
The number of dogs compared to the number of cats owned by the residents of an apartment complex is represented by the model below
Complete the ratio that compares the number of dogs to the number of cats.
(There is 2 dogs and 4 cats) what is the ratio?
Answers
Answer:
2:4
Step-by-step explanation:
Aaron is 53 ž inches tall. His friend Xaviar was 48.75 inches tall, but grew 2 inches over
the summer. How much taller is Aaron than Xaviar?
Answers
Answer:
2..25
Step-by-step explanation: