Answer: [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]
Step-by-step explanation:
To find the inverse, swap the x's and y's and solve for y. Note that f(x) is y.
[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]
Sonya’s average so far is 84 for 3 math tests. What must she get on the fourth test to have an average of 88
Answer:
she will need to get a 100 on the fourth test
Step-by-step explanation:
(252+x)/4 = 88
252+x = 352
x = 100
A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.
Step-by-step explanation:
The question lacks the required diagram, find the diagram attached.
Volume of the pyramid V = BH where;
B is the base area
H is the height of the prism.
b) To solve for B, we will have to make B the subject of the formula from the equation in a;
From (a);
V = BH
Divide both sides by H
V/H = BH/H
V/H = B
B = V/H
c) Since we are not given the volume and height of the prism, we can as well use the following parameters;
Let us assume Volume of the prism = 175in³ and eight of the prism H = 5in
Substitute this values into the equation derived in (b)
B = 175in³/5in
Hence the area of the base of the prism is square inches is 35in²
Solve the equation:
[tex] - 5r + 6 \leqslant - 5(r + 2)[/tex]
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]
Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the
ground, descending at a constant rate. After 6 minutes, he was 16 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after 3 minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =
Report a problem
Answer:
it would be 34
Step-by-step explanation:
Answer:
y= -1.5x-7
Step-by-step explanation:
y= -16 (total amount of meters below ground)
m= -1.5 (slope; meters he descends per minute)
x= 6 (minutes)
b= -7 (starting point)
thus; y= -1.5x-7
because; -16=(-1.5)(6)-7
note; remember, they are descending so most of your values will be negative
1. The quotient of twice a number and 7 is 20.
If you can type 50 words per minute, how many minutes would it take you to type a 500 word essay
==========================================
Work Shown:
A = 50 = number of words typed in 1 minute
B = 1 minute
C = 500 words
D = x minutes (needed to type 500 words)
A/B = C/D
50/1 = 500/x
50*x = 1*500 ... cross multiply
50x = 500
x = 500/50 .... divide both sides by 50
x = 10
You'll need 10 minutes to type 500 words
------------
Alternative approach:
50 words = 1 minute .... given speed
1 word = 1/50 minute ... divide both sides by 50
1 word = 0.02 minute
500 words = 10 minutes .... multiply both sides by 500
As per the given data, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.
If you have a typing speed of 50 words per minute, it means you can accurately type 50 words in one minute. This rate is often considered an average typing speed for proficient typists.
If I can type 50 words per minute, then to determine the number of minutes it would take to type a 500-word essay, we can divide the total number of words by the typing speed:
Time (in minutes) = Total words / Typing speed
Time = 500 words / 50 words per minute
Time = 10 minutes
Therefore, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.
For more details regarding typing speed, visit:
https://brainly.com/question/14292484
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Plz help: If you know two points on a line, why can you write two different equations for that line?
Answer:
Yes
Step-by-step explanation:
I think so but im not 100% sure sorry if im inncorrect.
Answer: since there are two points there should be two equations so you could find the final equation for that whole line
Step-by-step explanation:
Can anyone help me with this question
Solve for the Variable 9x+2 10x-10
Answer:
x=12
Step-by-step explanation:
9x+2=10x-10
9x-10x=-10
-x=-10-2
x=12
x=12
3+ (-5)
Help me please
Answer:
-2
Step-by-step explanation:
3 + - 5 is basically 3 -5 because when a negative meets a positive the signs turn into a negative.
3 -5 is 5 less than three which is -2.
help cant get this one trough my thick skull
which number is an irrational number? A 40 .B 49 C 100 D 9
Answer:
b :)
Step-by-step explanation:
Draw the graph of y=-2x for x values from -3 to 3
Answer:
(x,y) -> (-3,6)
(x,y) -> (-2,4)
(x,y) -> (-1,2)
(x,y) -> (0,0)
(x,y) -> (1,-2)
(x,y) -> (2,-4)
(x,y) -> (3,-6)
Step-by-step explanation:
Substitute each value in the range of x into your equation to get the corresponding y-coordinate.
PLEASE HELP ME FRIEND
Answer:
The first two.
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]
Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...
How do I write the two equations?
there are 24 students in first period. on a math test five eights of the standard and 90 or better how many students only 90 or better
Can someone please help me?? Ill give brainliest 20 points
Find an equation that can be solved in different ways.
Complete a two-column algebraic proof solving your equation.
Post your equation and two-column proof to the discussion board.
Answer:
This is an example of a two-column algebraic proof using 4x + 9 = 16 - 3x
Step-by-step explanation:
what are decimal that repeat the same pattern
A decimal number with a digit or group of digits that repeats forever is called a repeating decimal.
What will be the value of y?
Answer:
The answer is 40.
Step-by-step explanation:
Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.
3. The points (80, 20) and (120, 30) form a proportional relationship. What is the
slope of the line that passes through these points? *
A)1/4
B)4
C)10
D)40
Answer:
6x6x55x5x5x2
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
2316 divided by 2.4 show your work
Answer:
956
Step-by-step explanation:
You could answer this by doing division
So you could write it as 2316 (division symbol) 2.4=956
Hope this helped a bit!
Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 45 minutes. What time was it when Ed's class left the museum?
The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?
Answer:
1 km
Step-by-step explanation:
if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km
-1/8(2h+4)+1/2= -7/4
Answer:
h=7
Step-by-step explanation:
Write the equation of the line below
RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?
Answer:
(a) $16.25
(b) 7
Step-by-step explanation:
Rent of 1 raft for 1 day= $10
So, rent for 1 raft for half-day=10/2=$5
Charge for 1 person for half-day river trip =$15
Flat rate for half-day river trip=$200
(a) There is 4 member of the Kaplan on the trip.
One raft can hold up to 10 people, so, they need to take 1 raft on rent.
Rent of 1 raft for half-day =$5
Charge for 4 persons for half-day river trip =$15x4=$60
Total cost for the half-day trip for 4 persons=5+60=$65
Cost for half-day trip for 1 person= $65/4=$16.25
(B) Let there are n peoples on the river trip.
For the number of people up to 10, they need to take one boat on rent.
Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)
=5+15n.
Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)
=5+100
The condition for which the flat-rate cost is less expensive than the per person rate cost is
[tex]5+100<5+15n[/tex]
[tex]\Rightarrow 100<15n[/tex]
[tex]\Rightarrow n>\frac{100}{15}[/tex]
[tex]\Rightarrow n>6\frac{2}{3}[/tex]
As n is the number od person which cant be a fractional value, so
n=7,8,9,... or [tex]n\geq7[/tex]
So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.
Find the vector of the points p which divide Ac in the ratio 1:4
Answer:
Where is the points p and ration?
Step-by-step explanation:
what are you all being for Halloween?
This table shows the top athletes that play both football and basketball. What is the intersection of the set of football players and the set of basketball players? Football Basketball Ahmed Corelli Corelli Donaldson Jimenez Jeffers Miller Nicholas Petersen Yao Yao Zamora {Corelli, Jimenez} {Corelli, Yao} {Yao} {Jimenez}
Answer:
the answer is {Corelli, Yao}
Step-by-step explanation:
i took the quiz
the answer is {Corelli, Yao}
it them bc of they why of the number is place and it repeied
Math escape room maze ( I need help) I know it goes A,E,I but I don’t know what goes next)
Answer:
9
Step-by-step explanation:
Use angle summation:
∠HGE + ∠EGF = ∠HGF
3x + 11 + 110 = 16x + 4
117 = 13x
x = 9
Answer:
IK = 30
Step-by-step explanation:
31-12=19
49-19-12=18
12+18=30