Answer:
[tex]h^-^1(x)=0.5x+1.5[/tex]
Step-by-step explanation:
Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.
[tex]h(x) = 2x - \frac{4}{3}[/tex]
Inverse operations,
[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]
Simplify,
[tex]0.5(h(x))+1.5=x[/tex]
Write in inverse function notation,
[tex]h^-^1(x)=0.5x+1.5[/tex]
Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
Answer:
Here is the missing part.
Cups and liters:-1 litre = 2.1 cups
Cups and pints:- 1 pint = 2 cups
Pints and liters:-1 litre = 2.1 pints
Step-by-step explanation:
Step 1:
7 cups + 3 liters = 9.8 pints
[tex]7c+3l=9.8p[/tex]
5 liters - 9 cups = 6 pints
[tex]5l+9c=6p[/tex]
Cups and Liters
[tex]7c+3l=9.8p[/tex]
[tex]p= 7c+3l/9.8[/tex] (put in equation 2)
[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]
1 Liter = 2.1 Cups.
Step 2:
Cups and Pints
[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]
[tex]l=9.8p-7c/3[/tex](put in equation 2)
[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]
1 Pint = 2 Cups.
Step 3:
Pints and Liters
[tex]7c=9.8p-3l[/tex]
[tex]c=9.8p-3l/7[/tex](put in equation 2)
[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]
1 Liter = 2.1 Pints.
Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north. How far is Abby from the campsite?
Answer:
65.45 feet
Step-by-step explanation:
According to the Question,
Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .
(Please find Diagram in Attachment)
A Right Angle Triangle ABC is formed by above-given data .So, By Phythagoras Theorem,
AC² = BC² + AB²
X² = 37² + 54²
X² = 4285 ⇔ √4285 ⇒ 65.45 feet
Select the correct graph.
Which graph is the graph of function
f(x) =4^x
Answer:
the question on top is right
Step-by-step explanation:
which of the following is a root of the polynomial function?
Answer:
a
Step-by-step explanation:
write the set of natural numbers that is less than or equal to 6 in both the notations
Answer:
Step-by-step explanation:
Builder :
X = { x ∈ N : x ≤ 6}
Roster :
X = { 1, 2 , 3 , 4 , 5 , 6}
Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?
Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]
Step-by-step explanation:
Given
Mr. Caldwell has 10 full pizzas and half of another one
he wants to distribute it in among 8 of his students
Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]
So, each student gets
[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]
that is 1 pizza and five-sixteenth part of a pizza.
Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.
Answer:
4.04 metros
Step-by-step explanation:
Resolvemos la pregunta anterior usando la función trigonométrica de
tan θ = Opuesto / Adyacente
θ = 60 °
Frente = 7 metros
Adyacente =? = x
Por eso
bronceado 60 = 7 / x
Multiplicar cruzada
= tan 60 × x = 7
x = 7 / tan 60
x = 4.0414518843 metros
Aproximadamente = 4.04 metros
factorize 6×square + 5× - 4 =o
Answer:
6×square + 5× - 4 =o
6×square+(8-3)×-4=0
6×square+8×-3×-4=0
2×(3×+4)-1(3×+4)=0
(3×+4)(2×-1)=0
either,
3x+4=0
3×=-4
×= -4/3
or,
2x-1=0
×=1/2,,
ron’s bagel shops has sold 6 sesame bagels and 24 other bagels. considering this, how many of the next 90 bagels sold should you expect to be sesame bagels?
Answer:
Answer is 18
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
If m and n are rational numbers such that root m + root n = root 7+ 48, calculate the possible
value of m^2+n^2?.
Answer:
2353
Step-by-step explanation:
7^2+48^=2353
40. A playground is constructed with the. dimensions and shape shown below.
What is the area of the playground?
Answer:
Hello! answer: 154
Step-by-step explanation:
In the picture shown I found the area of each shape now I just have to add it up for the total so... 64 + 24 + 54 + 12 = 154 therefore the area is 154 hope that helps
No links<3
Fill in the missing value!
Answer:
2.6 and 3
Step-by-step explanation:
The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.
A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is the probability that it is blue or red?
Answer:
4/11
Step-by-step explanation:
1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles
P( blue or red) = number of blue or red / total
= 4/11
work out 6/5 of 200 and show working out
Answer:
240.
Step-by-step explanation:
200 * 6/5
= 1200/5
= 240
write 36m÷9m in standard form
The expression (36m ÷ 9m) is equivalent to 4.
What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the following division as follows -
(36m ÷ 9m)
We have the following expression -
36m ÷ 9m
So, we can write -
(36m/9m)
36/9
4
Therefore, the expression (36m ÷ 9m) is equivalent to 4.
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Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided
The type of correlation not associated with scatterplots is an indefinite correlation
What is correlation?Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Correlation can only be between -1 and 1 but not outside these values.
The types of correlation that we have to include:Hence the type of correlation not associated with scatterplots is an indefinite correlation
Learn more on correlation here: https://brainly.com/question/26172866
someone pls help lol
[tex] \sqrt{x { }^{2} -6x + 9} [/tex]
Given x>3 i.e. 4
√4^2 -6*4+ 9
√16 -24 + 9
√25-24
√1
Is a D a failing grade?
Answer:
Yes anything under a C
Step-by-step explanation:
what is the difference between the domain and the range of a function?
Answer:
The domain is all the x values of a function while the range is all the y values of a function.
Answer:
Step-by-step explanation:
The domain of a function is the set of input (x-) values for which the function is defined. The range is the set of output (y-) values; often there are limitations.
For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y. The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1. There is no graph above y = -1 or below y = +1.
Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9
What is the surface area and volume of this shape?
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP
Answer:
Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000
Step-by-step explanation:
9.22 = 9.2200
9.202 = 9.2020
9.8 = 9.8000
9.2211 = 9.2211
Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.
Arranging : 9.2200, 9.2020, 9.2211, 9.800
So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]
Arranging : 9.2020 , 9.2200, 9.2211, 9.8000
Now compare the numbers in tenths , hundredths and thousandth place :
[220, 202, 800, 221 ]
Arranging : 9.202, 9.220, 9.221, 9.800
Now compare all the four numbers and arrange :
[ 2200, 2020 , 8000, 2211 ]
Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000
Question
An employee makes $24 per hour during the normal week. This weekend that employee will make $36 per hour since it is a holiday. What is the percent increase in pay?
Answer:
The percent increase in pay is 50%.
Step-by-step explanation:
We need to find the percent increase from $24 to $36.
To solve this, we first must ask ourselves the question
36 is what percent of 24?
Y = P% of 24
36 = X · 24
To get X alone, we divide 36 by 24. That's 1.50. So now we know 36 is 150% of 24. Knowing 24 is 100%, we can find the percent increase. Well, how do we get from 100% (24) to 150% (36)? By increasing by 50%. Therefore, the percent increase in pay is 50%.
When solving the equation x2 – 8x - 7 = ( by completing
the square, which equation is a step in the process?
Step-by-step explanation:
x²– 8x - 7 = 0
(x²-8x+16) -7 = 16
(x²-8x+16) = 16+7
(x-4)² = 23
x-4 = √23
so x= 4+√23 or x= -4√23
3x+3y=18 x+2y=9 find x and y
Answer:
x = 3, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 3y = 18 → (1)
x + 2y = 9 → (2)
Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term
- 3x - 6y = - 27 → (3)
Add (1) and (3) term by term to eliminate x
0 - 3y = - 9
- 3y = - 9 ( divide both sides by - 3 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(3) = 9
x + 6 = 9 ( subtract 6 from both sides )
x = 3
solution is x = 3, y = 3
Answer:
x = 3 , y = 3
Step-by-step explanation:
3x + 3y = 18 -- (1)x + 2y = 9 --(2)Dividing (1) by 3 : x + y = 6 --(3)
x = 6 - y --(3)'
Substituting (3)' into (2),
(6 - y) + 2y = 9
6 - y + 2y = 9
y = 3 -- (4)
Substituting (4) into (3),
x + 3 = 6
x = 3 -- (5)
According to (4) and (5),
x = 3 , y = 3
Will give out Brainliest! Can somebody please explain how to find the linear regression equation given a data table step-by-step?
This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.
Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.
The approximate areas of the continents (excluding North America) are as follows:
- Australia: 11 million km^2
- Europe: 15 million km^2
- Antarctica: 18 million km^2
- South America: 26 million km^2
- Africa: 44 million km^2
- Asia: 66 million km^2
To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).
1. Australia:
Percentage: 5%
Approximate area: 0.05 * 220 million km^2 = 11 million km^2
2. Europe:
Percentage: 7%
Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)
3. Antarctica:
Percentage: 8%
Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)
4. South America:
Percentage: 12%
Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)
5. Africa:
Percentage: 20%
Approximate area: 0.20 * 220 million km^2 = 44 million km^2
6. Asia:
Percentage: 30%
Approximate area: 0.30 * 220 million km^2 = 66 million km^2
Note: These values are rounded to the nearest million square kilometers.
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Can someone please help asap thank you
Answer:
1. -10 > x
2. No, because the more you raise the ticket price, the less people will attend.
3. C) -x - 6 > -3.5
4. you have to do yourself
Step-by-step explanation:
1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10
please can someone help me with this
9514 1404 393
Answer:
1583.4 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...
V = π(6 ft)²(14 ft) ≈ 1583.4 ft³
_____
Additional comment
The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.
The volume of cylinder is 1583.4ft³.
Step-by-step explanation:
Given that :-
Height of cylinder = 14 ftBase diameter if cylinder = 12 ft
so, Radius of cylinder, r = 12 / 2 = 6 ftTo find :-
Volume of cylinderSolution :-
Using formula
Volume of cylinder = π × r² × h
Substitute the value
Volume of cylinder = π × (6ft)² × 14 ft
evaluate the exponent
Volume of cylinder = π × 36 ft ² × 14ft
multiply
Volume of cylinder = π × 504 ft³
Using , π = 3.14
Volume of cylinder = 3.14 × 504 ft³
Hence, the volume of cylinder is 1582.56ft³.
Round nearest tenth place = 1583.4 ft³.
Where is it saves three times as much money as Anna. If a represents Anna savings. Which relationship shows how much money they have saved, S, together
Answer:
S = 4a
Step-by-step explanation:
Rosa saves three times as much money as Anna. If a represents Anna's savings, which relationship shows how much money they have saved,
together?
Let
S = Total money they have saved,
together
a = Anna's savings
Rosa saves three times as much money as Anna
Rosa = 3 * a
= 3a
Total savings = Anna's savings + Rosa's savings
S = a + 3a
S = 4a