Answer:
A
Step-by-step explanation:
The inverse of the given function is (6x + 2)/3.
What is the inverse of a function?"The inverse of a function is a function that undoes the operation of that function. The inverse of a function exists if and only if the function is bijective"
Given function is
F(x) = (3x - 2)/6
⇒ y = (3x - 2)/6
If we write 'x' instead of 'y' and 'y' instead of 'x', then we get:
x = (3y - 2)/6
⇒ 6x = (3y - 2)
⇒ 3y = 6x + 2
⇒ y = (6x + 2)/3
Therefore, F⁻¹ (x) = (6x + 2)/3
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can someone help me
Answer:
I think its an obtuse triangle
Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest did he earn?
Answer:
1022.50
Step-by-step explanation:
1000*.03= 30. (12mos interest)
30/4=7.50 quarterly interest
7.50x3 (9mos)= 22.50 interest
NEED ANSWER ASAP will Mark as BRAINLIEST
17. Find the value of x.
(5x + 4)
(7x + 4)
(4x + 9)
(4x + 1)
(9x-6)
Answer:
x= -2
Step-by-step explanation:
Move all the terms to the left.
Add all the number together and then add the variables.
Get rid of parenthesis
Move all terms containing x to the left.
The value of x obtained for given diagram is, 12
What is an angle ?An angle is a mathematical term which we can defined, when two straight lines or rays meets at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
All the exterior angles are,
(5x + 4), (7x + 4),(4x + 9),(4x + 1),(9x-6)
It is known that,
Sum of Interior angle & Exterior angle is equal to 180°
So we can calculate all the Interior angles,
180°- (5x + 4), 180°-(7x + 4), 180°-(4x + 9), 180°-(4x + 1), 180°-(9x-6)
Formula for sum of all the Interior angles = (2n-4)×90
So, n=5
Sum of all the Interior angles = 540°
[180°- (5x + 4)] + [180°-(7x + 4)]+[180°-(4x + 9)]+[180°-(4x + 1)] +[180°-(9x-6)] = 540
900- 29x- 12 = 540
x = 12
Hence, The value of x is, 12
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what is the quotient of (6x2-7x-5)/(2x+1) for all the values of x where the expression is defined? PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
=3x−5Step-by-step explanation:
6x2−7x−5 / 2x+1
= 6x2−7x−5 / 2x+1
= (3x−5)(2x+1) / 2x+1
=3x−5
4(-1)+8y=20 how do i solve this ?
Answer: y = 3
Step-by-step explanation:
4(-1)+8y=20
negative * positive = negative
-4+8y=20
add 4 on both sides to isolate 8y
8y = 24
divide each side by 8
y = 3
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
Step-By-Step on how to solve for y is in the attached picture.
Hope this helps! :)
The equation that models this relationship is y=2x. How many liters of water should Austin combine with 16 scoops of juice mix? Write your answer as a whole number or decimal.
Answer:
8 liters
Step-by-step explanation:
Given that:
y = 2x
where y is the number of scoops of juice mix, and x is the liters of water required.
To determine the liters of water required for 16 scoops of juice mix;
y = 16
So that,
16 = 2x
x = [tex]\frac{16}{2}[/tex]
= 8
x = 8 liters
Therefore, Austin would combine 8 liters of water to the 16 scoops of juice mix.
The probability of choosing a penny from the 1980s from the bag of pennies without looking is StartFraction 3 over 40 EndFraction. Which term best describes this probability? impossible unlikely likely certain
Answer:
Unlikely
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
took test
The Pythagorean Theorem, given by the formula a^2+b^2=c^2, relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answer:
c=√a²b²
Step-by-step explanation:
The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².
The value of c is calculated as:-
a² + b² = c²
Reverse the equation to calculate a.
c² = a² + b²
Taking b² to the left side then the equation will become:-
a² = c² - b²
Taking square root on both sides of the equation.
[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
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-3(10)+5x=26
Answer this please
Answer:
10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10
Step-by-step explanation:
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas at 5:00 PM. Is the amount of gas used proportional to the distance the car drove? Why or why not?
Answer:
Yes,
Step-by-step explanation:
You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.
Write 345.813 to the nearest whole number
400
346
345
300
Answer:
346
Step-by-step explanation:
345.813 is rounded to 346
Answer:
346
Step-by-step explanation:
the 8 rounds it up to 6
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43, point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee, and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline.
Answer:
29 minutes
Step-by-step explanation:
Given
[tex]Total = \$43.25[/tex]
[tex]Entrance\ Fee = \$7[/tex]
[tex]Per\ Minute = \$1.25[/tex]
Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:
[tex]Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t[/tex]
Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute
[tex]43.25 = 7 + 1.25 * t[/tex]
[tex]43.25 = 7 + 1.25t[/tex]
Solving further to get the value of t, we have:
[tex]1.25t = 43.25 - 7[/tex]
[tex]1.25t = 36.25[/tex]
[tex]t = 36.25/1.25[/tex]
[tex]t = 29[/tex]
Answer:
29 minutes
Step-by-step explanation:
7 + 1.25t = 43.25 is the equation
How did I solve this?
I divided those two and that is how you get the equation
In total is 29 minutes
I did the Khan and it was right!
Hope this helps :)
If i ate 20 candy bars and 40 more what do i have
Answer:
Diabetes
Step-by-step explanation:
By consuming that much candy your blood sugar levels would skyrocket causing you to get diabetes.
is 350% of 34 less than 100, greater than 100 but less than 150, or greater than 150?
Answer:
greater then a hundred but less then 150
Step-by-step explanation:
I multilayered by 3.5
What is the domain and range of the graph?
Answer:
Domain: [-1, 5]
Range: [-1, 2]
Step-by-step explanation:
(8.5×108) + (2.3×107)
Answer:
1164.1
Step-by-step explanation:
find the slope between the points (0,5) and (-3,7)
Answer:
- 2/3 is the answer
A line passes through (–2, –3) and has a slope of
−
3
4
. Which is an equation of the line?
Answer:
y = 3x + 3
Step-by-step explanation:
Given parameters;
Coordinates of the line;
(-2, -3)
Slope of the line = 3
Unknown:
Equation of the line = ?
Solution:
The equation of any straight line is often expressed as;
y = mx + c
y and x are the coordinates
c is the intercept
Now insert values of y, x and m to find c;
-3 = 3(-2) + c
-3 = -6 + c
c = -3 + 6 = 3
The equation of the line is;
y = 3x + 3
The Morris family bought 3 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 25 of the eggs. How many eggs are left?
Answer:
29
Step-by-step explanation:
3 x 8 = 54 - 25 = 29
please help :).
thank u
Answer:
B. No because it is not a straight line.
Be safe and wear a mask my friend. It's a sick world out there!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because the function graph have to cut the x-inter ones so here you go broooo wish you get it right
12.12.12.12 +7(3.3.3.3+3)
What the answer
Answer:
23.253528
Your welcome
what is the name of this shape?
Answer:
this shape consists of a square and triangle
The shape is a Pentagon ... but that won't help get the perimeter or area. you'll have to find the areas and perimeters of both the square and triangle and then add them for the final answer.
Area of figure = area of square + area of triangle
=> Area of Square = a² (a = side)
side = 3.5 cm ...so...
Area of square = a²
= 3.5 × 3.5
= 12.25 cm²
=> Area of Triangle = ½ × base × height
= ½ × 3.5 × 1.64
= 2.87cm²
Area of figure = area of square + area of triangle
Area of figure = 12.25 + 2.87
= 15.12 cm²
Perimeter of figure = P of square + P of triangle
=> P of square = 4a
= 3.5 × 4
= 14cm
=> P of isosceles triangle = 2a + base
= 2 × 2.4 + 3.5
= 4.8 + 3.5
= 8.3cm
Total perimeter of figure = P of square + P of triangle
Total perimeter = 14 + 8.3
= 22.3 cm
what is the intercept for y - 6 = 2 (3x-4)
Suppose 60% of kids like video games. Predict the number of kids that prefer video games out of a group of 200 kids.
Answer:
120 kids prefer video games
Step-by-step explanation:
60% is .60
multiply .60 by 200 to get your answer.
.60 × 200 = 120
Rewrite this expression
(x+y)(x+y)(x+y)(x+y)(x+y)(x+y)
Answer:
Its actually 6x + 6y because your adding all like variables to simplify the expression and since theirs 6x and 6y the equation becomes 6x + 6y
A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40. How much is each pencil?
Answer:
9.85
Step-by-step explanation:
I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.
The cost of each pencil is $1.15.
What is a system of equation?A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.
Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.
Let e represents eraser and p represents a pencil.
Establishing the equations,
3e+5p = 7.55
6e+12p = 17.40
Solving by elimination, we get,
p = 1.15
Hence, The cost of each pencil is $1.15.
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A rectangle has an area of 16.cm do you know its length?
Need help pls ❤️ need a answer
school is a nae nae not cool >:(
Answer:
1 2/9
Step-by-step explanation:
Answer: I- I- okay I’m not gonna answer that I-
Step-by-step explanation:
PLEASE HELP! BRAINLIEST
Answer:
the answer is 30
Step-by-step explanation:
the mid-segment of a triangle is half of the side that is parallel to it
mid-segment MJ is parallel to line LK
LK is 60, half of 60 is 30
MJ is 30
Stella is trying to make extra money on her summer vacation from school. She works
two different jobs, earning $10 per hour babysitting and $13 per hour clearing tables.
How much money would Stella earn in a week in which she worked 7 hours
babysitting and 9 hours clearing tables? How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
earn in
a
7 hours babysitting and 9 hours clearing tables:
b hours babysitting and c hours clearing tables:
Submit Answer
attempt i outot
Answer:
$187
10b + 13c
Step-by-step explanation:
Payment for babysitting = $10 per hour
Payment for clearing tables = $13 per hour
How much money would Stella earn in a week in which she worked 7 hours babysitting and 9 hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × 7 + 13× 9
= 70 + 117
= $187
How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × b + 13 × c
= 10b + 13c