Answer:
find the inverse of the following function. The Domain and Range of inverse
a) f(×)=× b) f(×)=׳-4
-2(7-x) + 4= -4
what’s “x” equal
Answer: x=3
Step-by-step explanation:
-2(7-x) + 4= -4
-14 + 2x + 4= -4
2x - 10= -4
2x = 6
x=3
What is the slope of a line that passes through points (0,7) and (-3,0)
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - 7}{ - 3 - 0} \\ m = \frac{ - 7}{ - 3} \\ m = \frac{7}{3} [/tex]
PLEASE GIVE BRAINLIEST
Write an equation for each line.
y-intercept-5/2, x-intercept-1/3
a.y = -5/2x -1/3
c. y = 2.5x + 7.5
b. y = 7.5x + 2.5
d. y = "-7.5x" - 2.5
The equation of the line is y = -7.5x - 2.5
How to determine the equation of the line?The given parameters are
y-intercept = -5/2
x-intercept = -1/3
A linear equation is represented s
y = mx + c
Where
c = y-intercept = -5/2
So, we have:
y = mx - 5/2
The equation x-intercept = -1/3 means that
y = 0 and x = -1/3
So, we have
0 = -1/3m - 5/2
This gives
1/3m = -5/2
Evaluate
m = -15/2
Substitute m = -15/2 in y = mx - 5/2
y = -15/2x - 5/2
Rewrite as
y = -7.5x - 2.5
Hence, the equation of the line is y = -7.5x - 2.5
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How about members of a local professional sports team who are conducting a survey? which data collection method would provide biased results for the q
This is because they are likely to report their favorite game as soccer or some other related game.
What is survey explain?
In order to gather information about a service, product, or process, a survey is described as the act of looking at a process or questioning a predetermined sample of people. Surveys used to gather data ask a specific set of people about their beliefs, actions, or knowledge.What three sorts of surveys are there?
Most studies fall into one of three categories: exploratory, descriptive, or causal. Each has a distinct function and can only be applied in specified ways.
The biased result would be provided by the -
Ask people attending a soccer game
This is because they are likely to report their favorite game as soccer or some other related game.
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please help!! work due tmrw and im stuck on the first half
Answer: 9. x=4 ST=11
10. x=17 UW=67
Step-by-step explanation:
9.
[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]
Divide both parts of the equation by 7:
[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]
10.
[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]
Divide both parts of the equation by 2:
[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]
1. Which two points lie on a line with slope 2/3? A. (2, 0) and (3,0)
B. (3, –4) and (1, 2)
C. (0, 0) and (2, 3)
D. (–3, 2) and (0, 4)
2. What is the slope of the line that passes through the given points?
(6, –1) and (–3, –1)
A. undefined
B. 0
C. – 2/3
D. – 3/2
If you know the answers to the rest of the quick check please share them!
1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. The slope is: B. 0.
How to Find the Slope of a Line?The formula for finding the slope of a line is:
Slope (m) = change in y/change in x
1. To find the two points that has a slope of 2/3, calculate the slope of each of them:
Slope for A = (0 - 0)/(3 - 2) = 0
Slope for B = (-4 - 2)/(3 - 1) = -3
Slope for C = (3 - 0)/(2 - 0) = 3/2
Slope for D = (4 - 2)/(0 -(-3)) = 2/3
Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)
Slope (m) = 0/-9
Slope (m) = 0
The slope is: B. 0.
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Solve for x.
3x = 6x-2
x=2|3
x=3/2
x=2
Answer:
2/3
Step-by-step explanation:
Givin g(x) = -x+4, solve for x when g(x)= 0
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
I got you bro dont worry
Solve the equation, and enter the solutions from least to greatest. If there is only one solution, enter "n.a." for the second solution. or Reset Nextelect the correct answer from each drop-down menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator. 1/x+1/x-10=x-9/x-10
We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.
An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.
[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]
[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]
Therefore the solution of the equation is x=1 and x=10.
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Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 5%. How much interest will Thang pay
Answer:
He will pay $1,050 interest
Step-by-step explanation:
5% interest is paid every year for 3 years
5% * 3(years) = 15%
7000 * 15% = $1,050
$1,050
Which data type is used to store real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42?
The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.
What is data- type?A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.
All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.
The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:
Single precision floats have a range of around 10-38 to 1038 with a precision of about 7 decimal digits using a total of 32 bits and 24 bits for the digits.Double precision floats, commonly referred to as doubles, have a precision of about 16 decimal digits and a range of roughly 10^-308 to 10^308. They require 64 total bits and 53 bits for digits.Quadruple precision floats, Quad doubles, sometimes known as double doubles, have a precision of about 34 decimal digits and a range of roughly 10^-4932 to 10^4932 using 128 total bits and 113 bits for the digits.Hence, the type of data is floating point.
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360 miles traveled on 12 gallons of gasoline? (write each rate as a unit rate)
The unit rate is 30 miles per gallon
How to calculate the unit rate ?The number of miles travelled is 360 miles
The number of gallons is 12 gallons
Therefore the unit rate can be calculated as follows
Unit rate= 360/12
= 30
Hence the unit rate is 30 miles per gallon
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HELP PLEASE!!!!!!!
1.What linear equation in slope-intercept form does this graph represent?
2.What was your thought process? Explain how you found your equation. Use complete sentences in your response.
3a. Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)
3b. Explain how you labeled the X axis and Y axis based on the situation you wrote in 3a.
The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;
1. y = 15•x + 100
2. The slope is first calculated, then the equation is expressed in the point and slope form
3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.
3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership
Which method can be used to find the model linear equation?1. Points on the graph are; (0, 100) and (20, 400)
The slope, m, is therefore;
m = (400 - 100)/(20 - 0) = 15
The equation in slope and intercept form is therefore;
y - 100 = 15•(x - 0) = 15•x
y = 15•x + 1002. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.
The slope and intercept form is obtained from the point and slope form by making y the subject
3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15
3b. The labels for the x and y axis based on the above situation are;
The x-axis represents the number of months of joining the fitness serviceThe y-axis represents the total amount paidLearn more about slope and intercept form of linear equations here;
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Miesha is saving the same amount of money each week. After 2 weeks she saves 85$. After 4 weeks she saves 135. Which equation models the amount of money Miesha will have saved, y after x weeks?
Answer:
work is shown and pictured
what is an equivalent fraction -9 - (-4 1/3)
Answer:
Step-by-step explanation:12
What is the perimeter of the triangle
The perimeter of the triangle is 40 units
Perimeter of a triangleFrom the question, we are to determine the perimeter of the given triangle
From the given diagram, we can observe that the triangle is a right triangle
The vertical length of the triangle is 15 units
and the horizontal length of the triangle is 8 units
Thus,
We can find the hypotenuse by using the Pythagorean theorem
Let the hypotenuse be h
Then,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17 units
Now, for the perimeter of the triangle
The perimeter of a triangle is the sum of all its three sides
Thus,
The perimeter. P, of the triangle is
P = 15 + 8 + 17
P = 40 units
Hence, the perimeter of the triangle is 40 units
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PLEASE HELP FAST!!
Select true or false:
The function -3(x + 2)(x - 5)³ > 0, when x < -2 or x > 5.
O True
O False
Answer:
false
Step-by-step explanation:
Solve the equations. 1. 21-9 = 2.35 - 15 = 3.30 - 25 = 4.40 - 10 = 5.30 - 20 = 11.34 - 20 = 12. 22 - 12 = 13.30 - 10 = 14. 19-9- 15. 28 - 12 =
Answer:
12, 20, 5, 30, 10, 14, 10, 20, 10, 16
Step-by-step explanation:
1.) 21-9=12
2.)35-15=20
3.) 30-25=5
4.) 40-10=30
5.) 30-20=10
11.) 34-20=14
12.) 22-12=10
13.) 30-10=20
14.) 19-9=10
15.) 28-12=16
Pls help me w thissssss
In this problem, we need to use multiplication and subtraction method to solve it.
_________________________________
x(y) means to multiply x with y
_________________________________
Note that {a = 7} and {b = 6}
First, we need to multiply 4 with {a = 7}, we get:
4(7) = 28
Then, we need to subtract {b = 6} from 28, we get:
28 – 6 = 22
Finally, this simplifies as:
4(7) – 6 = 22
Hope this helps :)
If m<4=119, what is m<10
Answer: So after applying concept of parallelism m<10 = 119
Step-by-step explanation:
As we have given m<119
In terms of parallelism
m< 4 = m<8
and m<8 = m<10
Therefore
m< 10 = m<4 = 119
So after applying concept we get m<10 = 119.
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Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
[tex]d = \frac{a^{3} }{cb^{2} }[/tex]
[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]
[tex]d = \frac{3.7}{80}[/tex]
[tex]d = 0.0462[/tex]
Hence, The value of the quantity d is 0.0462 m^2/s.
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The Amari family installed an inground pool with the dimensions shown, what is the volume of the inground pool?
Answer:
23716 cubic feet
Step-by-step explanation:
7^2=49
11^2=121
2^2=4
49x121=5929
2929x4=23716
During a pudding eating contest, Jackie ate five and a half pudding
cups. His sister ate two and a quarter pudding cups. How many pudding
cups did they eat altogether?
PLS HELP ME BY SHOWING STEP BY STEP, THE EQUATION AND THATS IT PLS HELP IM DESPERATE!!
If x represents a number, then write an expression
for the product of one more than the number with
one less than the number.
The value of algebraic expression for given is (x + 1)(x - 1)
What is an Algebraic expression?An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A group of phrases containing letters and numbers that are joined using addition (+), subtraction (-), multiplication (*), and division (**) are known as algebraic expressions.
Let the number be x
Expression for given statement will be -
(x + 1)(x - 1)
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How do you write 0.00603 in scientific notation?
Answer: .[tex]306^{-3}[/tex]
Step-by-step explanation:
Answer: +6.03E-3
Step-by-step explanation:
[tex]0.00603=6.03*10^{-3}[/tex]
6.03*10⁻³=+6.03E-3
121= 4(5-3x) +5
121=20-12x+5
The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.
What exactly do we mean by equations?A mathematical equation is a statement that connects two expressions with equal values by using the symbol 'equal to.'For example, 3x + 5 = 15.Linear, quadratic, cubic, and other types of equations exist.So, 121 = 4(5-3x) + 5:
121 = 4(5-3x) + 5121 = 20 -12x + 5121 = 25 - 12x-12x = 96x = -96/12x = -8Therefore, the value of 'x' is -8 in the given equation.
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The students in Mr. Bishop's class have written 28 poems. They are putting their poems together to make a poetry book. They put 4 poems on each page. So far, the students have made 5 pages. How many pages do they still need to make? ____ pages
Adam, Craig and Gary play hockey. Adam has scored twice as many goals as Craig. Gary scores 7 more goals than Craig. Altogether they score 51 goals. How many more goals did Adam score than Gary?
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
A Lilly pond starts with 1 Lilly pad and every day the amount doubles. How many Lilly pads are in the pods after d days
After d days the total number of lily in the ponds are . It is an simple example of geometric progression.
The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.
Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.
Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.
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