Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.
Given that the linear graph passes through (1,1).
It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.
From the point (1,1), the x-value corresponding to 2 units left is given by,
\(\begin{gathered} x=1-(2) \\ x=-1 \end{gathered}\)Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,
\(\begin{gathered} y=1-(3) \\ x=-2 \end{gathered}\)So the point (-1,-2) must also lie on the same linear graph.
Therefore, option (b) is the correct choice.
Describe the translation of figure ABCD. Complete the sentence to explain your answer. A coordinate plane showing figure A B C D and A prime B prime C prime D prime. The coordinates of the first figure are A 2 comma 3, B 1 comma 2, C 2 comma 1, and D 3 comma 2. The coordinates of the second figure are A prime 5 comma 4, B prime 4 comma 3, C prime 5 comma 2, and D prime 6 comma 3. Figure ABCD is translated unit(s) right and unit(s) up.
Figure ABCD is translated 3 units right and 1 unit up.
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
Based on the information provided, we have the follwoing:
(x, y) → (x + h, y + k)
A (2, 3) → A' (5, 4).
5 = 2 + h
h = 5 - 2
h = 3 (3 units right).
4 = 3 + k
k = 4 - 3
k = -3 (1 unit up).
Read more on function and translation here: brainly.com/question/31559256
#SPJ1
Complete Question:
Describe the translation of figure ABCD. Complete the sentence to explain your answer.
Figure ABCD is translated unit(s) right and unit(s) up.
GIVING BRAINLIEST!!!!
Answer:
Zack is correct with the -4.5
Step-by-step explanation:
When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5
Hope this helped.
A brainliest is always appreciated.
24. A rectangle has a length of x +5 and a width of 2x-9. Using the formula for the perimeter of a rectangle wrote an expression to represent the perimeter of the rectangle in simplest form
Answer:
Perimeter = 6x-8
Step-by-step explanation:
a=x+5
b=2x-9
Perimeter = 2*(a+b)
Perimeter = 2*(x+5+(2x-9))
Perimeter = 2*(x+5+2x-9)
Perimeter = 2*(3x-4)
Perimeter = 6x-8
What is the value of A when we rewrite 6^x as A^x/4
The value of A when we rewrite 6^x as A^x/4 is 3/2
What is an algebraic expression?An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.
They are also known as expressions made up of arithmetic operations, such as;
AdditionBracketParenthesesDivisionMultiplicationSubtractionFrom the information given, we have that;
The function is given as;
6^x
Here, the coefficient or rather the base is 6
To determine the value of A when ^^x is given as A^x/4
The value of A would be;
6/4 = 3/2
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
More can be learned about least common denominator at https://brainly.com/question/19249494
#SPJ1
What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
Learn more about inverse here:
https://brainly.com/question/30659571
#SPJ1
²³√∛·×÷±≈≠≤≥βα∞∨∧∉∈⇔,⇒≅≡ΔπФω↑↓∵∴↔→←⇵∀⊅⊄⊇⊆⊃⊂∑∫⇆⇄⇅°∠∡⊥∪∩∅¬⊕║∦∝㏑㏒∞
What do all of these symbols stand for?
Answer:
Mathematical symbols used for different calculations?
Select the correct answer. Determine which statement is true about the zeros of the function graphed below. An upward parabola f on a coordinate plane vertex at (1, 4) and intercepts the y-axis at 5 units. A. Function f has one real solution and one complex solution. B. Function f has exactly one real solution and no complex solutions. C. Function f has exactly two real solutions. D. Function f has exactly two complex solutions.
The correct option is D, the equation has two complex solutions.
Which is the correct statement about the quadratic equation?Here we can see that we have the graph of a quadratic equation.
It opens upwards, and we can see that it has a vertex at (1, 4), which intercepts the y-axis at y = 5.
Now, we say that the solutions of a quadratic are the values of x such that the function becomes zero.
Particualrly, in this graph we can see that the graph never intercepts the x-axis, that means that this equation has no real roots.
Then the correct option is:
"Function f has exactly two complex solutions."
Learn more about quadratic equations at:
https://brainly.com/question/1214333
#SPJ1
The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l
Answer:
I think 0
Step-by-step explanation:
The number -4 is a distance of 4 units away from 0 on the number line.
Answer:
this is a true statement
Step-by-step explanation:
What two numbers multiply to -35 and add to get -18
he two numbers that multiply to -35 and add to get -18 are -5 and 3.
To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.
Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:
-5 + 3 = -2
So, -5 and 3 are the two numbers that multiply to -35 and add to -18.
What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.
for the first six members in the series of alkenes plot the number of hydrogen atoms on they exist in use this number the graph to drive the formula of alkane that has 10 carbon atoms
Answer:
Извиииииииинннннниииии пожалуйста
Based on the information in the table, how much will Monique earn if she works 36 hours in a week?
Answer:
Where is the table?
Step-by-step explanation:
The question is in the picture.
Answer:
6/3=22/x would be 11
Step-by-step explanation:
hope this is helpful
Answer:
Answer is 11
Step-by-step explanation:
3x22=66
6×X=6X
66/6X=11
Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.
Answer:
67/5
Step-by-step explanation:
17 1/5
17x5= 85 + 1= 86/5
3 4/5
3x5=15+4= 19/5
86/5 - 19/5=
86-19= 67/5
hope this helps!
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
For more questions on quadratic equation
https://brainly.com/question/30164833
#SPJ8
HELP ASAP PHOTO INCLUDED
The volume of the cylindrical shaped pool with water is V = 75.4 feet³
Given data ,
Let the diameter of the pool be d = 8 feet
So , radius r = 4 feet
And , the height of the cylindrical pool is h = 3 feet
Now , the water is half full
So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h
V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )
On simplifying , we get
V = 75.4 feet³
Hence , the amount of water in pool is V = 75.4 feet³
To learn more about cylinder click :
https://brainly.com/question/16134180
#SPJ1
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
2. You are in a car traveling an average speed of 60 km/hr. The
total trip is 240 km. How long does the trip take?
Answer:
4 hours
Step-by-step explanation:
60*4=240
Identify the solutions (roots) of the function y=x2 + 2x - 3
please help
Answer:
x=1,-3
Step-by-step explanation:
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
Simplify: −2[−3(x − 2y) + 4y].
thanks!
Answer:
6x − 20y
Step-by-step explanation:
−2[−3(x − 2y) + 4y] =
= −2[−3x + 6y + 4y]
= −2[−3x + 10y]
= 6x − 20y
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS:
Parenthesis
Exponent
Multiplication
Addition
Subtraction
Step 1
−2[−3(x − 2y) + 4y] Equation
Step 2
-2[-3(x -2y) + 4y] simplify
(-2)(-3(x-2y))+(-2)(4y)
Step 3
(-2)(-3(x-2y))+(-2)(4y) Add,Subtract And Remove parenthesis
6x-12y-8y
answer
6x-20y
Look at the graph. Which is a part of the legend?
A.29%
B. meals
C. Various Activities
Evaluate each indefinite integral. SHOW STEPS
1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx
Integral by substitution
2. integrate 3cos u du
Isolate the coefficient
3 * integrate cos u du
Evaluate the integral
4. 3sin u
Simplify and add the C
= 3sin(5x ^ 5 - 3) + C
Answer
3sin(5x ^ 5 - 3) + C
hope this will help u
please mark me as a brainliest
Answer:
\(3sin(5x^{5} -3) + C\)
Step-by-step explanation:
\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)
a and b are constants
∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)
= \(25x^{4} cos(5x^{5} -3)\)
\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)
Rewriting the above by applying algebraic manipulation:
\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)
=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)
= \(3sin(5x^{5} - 3) + C\)
C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.
a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas
Answer:
The vehicle can travel 12 miles per gallon of gas.
Step-by-step explanation:
The number of gallons used by a vehicle = 1 1/8 gallonsi.e.
\(1\frac{1}{8}=\frac{9}{8}\) gallons
The number of miles traveled by a vehicle = 13 1/2 milesi.e.
\(13\frac{1}{2}=\frac{27}{2}\) miles
Thus,
Total Gallons =9/8 gallons
Total Distance in miles = 27/2 miles
Hence:
Unit Rate = [27/2 miles] / [9/8 gallons]
= 12 miles per gallons ∵ \(\frac{27}{2}\div \frac{9}{8}=12\)
Therefore, the vehicle can travel 12 miles per gallon of gas.
Jessica starts cleaning her room at 5:50 P.M. and finishes at 6:45 P.M. Her sister Norah finishes deaning her
room at 7:14 P.M. She cleans for the same amount of time as Jessica.
How many minute did it take Jessica to clean her room?
Answe
jesiica tardo 29 minutos
Step-by-step explanation:
Answer:
55 minutes
Step-by-step explanation:
\(6 \: hrs \: 45 \: min \: - 5 \: hrs \: 50 \: min \: = 55 \: min\)
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
Which parent functions have a range of (-infinity , infinity) select all that apply
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Answer:b,d,g,h
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The correct option is B, D, G, and H.
What are the domain and range of a function?A function assigns the value of each element of one set to the other specific element of another set.
The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.From the given functions the function that has a range of (-∞, ∞) can be found by plotting the graph. Therefore, the parent function that has a range of (-∞, ∞) are:
B. a parent odd-degree power function
D. a parent odd-degree root function
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1
Hence, the correct option is B, D, G, and H.
Learn more about appropriate domain here:
https://brainly.com/question/20073127
#SPJ2