Answer:
x = 1 y = 2
Step-by-step explanation:
3(1) + 2(2) = 7
3 + 4 = 7
-3(1) + 4(2) = 5
-3 + 8 = 5
Four representations of the same data are shown below.
Verbal Description
Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.
Equation
y = x + 4
Table
A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars.
Graph
Cell Phone Bill
A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7).
Which two representations are considered to be only partial representations?
the equation and the verbal description
the verbal description and the graph
the table and the equation
the graph and the table
Mark this and return
The two representations which are considered to be only partial representations include the following: D. the graph and the table.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In this scenario, the following are complete representations of the same data because they are valid for all possible x values:
Verbal descriptionEquationRead more on graphs here: brainly.com/question/4546414
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Can someone please help mee (20 points
brainliest!!!)
Answer:
I may have mixed up the meaning of the variables...
Step-by-step explanation:
Every additional 1 card sold, price decrease $0.05 Known point, (6, 280). x is price, p is ... number of cards sold.
(i) Simplify
n²-(n+ a)(n-a).
(ii) Hence evaluate
326541 8292-326541833 x 326541 825.
Answer: 16
Step-by-step explanation:
[tex]n^2-(n+a)(n-a)=\\n^2-(n^2-a^2)=\\n^2-n^2+a^2=\\a^2[/tex]
[tex]326541829^2-326541833*326541825=\\32654129^2-(32654129+4)(326541129-4)=\\4^2=\\4*4=\\16[/tex]
23+11x-5=39
What’s the answer
Describe two ways in which you can solve: [tex]-\frac{1}{2} (5x-9)=17[/tex]
Answer:
Method 1 is distribution of the -1/2 to 5x and -9. Method 2 is simplification by multiplying -1/2 to both sides of the equation.
Step-by-step explanation:
Method 1: Method 2:
[tex]-\frac{1}{2} (5x-9)=17[/tex] [tex]-\frac{1}{2} (5x-9)=17[/tex]
[tex]-\frac{1}{2}[/tex](5x-9)=17 [tex]-\frac{1}{2}[/tex](5x-9)=17
[tex]-\frac{1}{2}[/tex]*5x-([tex]-\frac{1}{2}[/tex]*9)=17 [tex]-\frac{1}{2}[/tex]*(-2)(5x-9)=17*(-2)
[tex]-\frac{5}{2}[/tex]x+([tex]\frac{1}{2}[/tex]*9)=17 5x-9=-34
[tex]-\frac{5}{2}[/tex]x+9/2=17 5x-9+9=-34+9
([tex]-\frac{5}{2}[/tex]x+9/2=17)*2 5x=-25
-5x+9=34 5x/5=-25/5
-5x+9-9=34-9 x=-5
-5x=25
-5x/(-5)=25/(-5)
x=-5
1.2.PS-12
Determine whether the given number belongs to each set.
Integers
72
72
Whole
Numbers
?
Vyriole
Numbers
Yes
?
integers
Yes
Rational
Numbers
?
Katorial
Numbers
No
Click to select your answer(s) and then click Check Answer.
All parts showing
Clear All
Answer: Yes it is rational number because it has a terminating decimal expansion
Step-by-step explanation:
Define Rational number:
rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
Yes it is rational number because it has a terminating decimal expansion.
7/2=3.5
Define Integer:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.
all integers between -7 and 2 in increasing order are:
-6,-5,-4,-3,-2,-1,0 and 1.
since, it has to be in increasing order -6 will come first and 1 at the last.
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a cell phone company charges an initial price of $400 for a new phone and then $50 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? r: ℝ r: (–[infinity], [infinity]) r: (0, 400) r: (50, 450)
The range of the average cost function of a cell phone that has an initial and monthly costs $400 and $50 is r:(50, 400)
Which method can be used to find the range of the average cost function?Initial price for the cell phone = $400
Charges per month after purchase = $50
The rational function representing the average monthly cost = c(t)
Required; The range of the average monthly cost function, c(t)
Solution:
The total cost of owning the cell phone, C, is therefore;
C = 400 + 50•∆tWhere;
∆t = The number of months after purchase
The average monthly cost is therefore;
[tex]c(t) = \frac{C}{ \Delta t} [/tex]
At ∆t ≈ 0, we have;
C ≈ 400
The cost for the month at ∆t ≈ 0, is therefore, c(t) = $400
At ∆t ≈ ∞, we have;
[tex] \lim\limits_{∆t→∞} \frac{400}{ ∆t} = 0[/tex]Therefore;
[tex] \lim\limits_{∆t→∞} c(t) = \frac{400+ 50× ∆t}{ ∆t} ≈ 50[/tex]
Which gives;
The range of c(t) is (50, 400)
The correct option is therefore;
r: (50, 400)Learn more about the domain and range of a function here:
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Please answer the 2 question in photo [ Brainliest + points ]
Answer:
3.) Obtuse &. 4.) Acute. ????
Step-by-step explanation:
Answer:
3. obtuse
4. acute
Step-by-step explanation:
Hope this helps
name the sides of the angle.
question 9(multiple choice worth 5 points) (04.02 mc) orio and ted buy an equal number of comic books every month. the following equation shows the number of comic books, y, that orio has after x months: y
Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.
What are a definition and an example of a linear equation?
A linear equation is an algebraic equation with each term having an exponent of 1, and a straight line is produced when the equation is graphed. Y=mx+b is an illustration of a linear equation.The following equation shows the number of comic books, y, that Orio has after x months:
y = 2x + 15
Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.
y = 2(2) + 15
y = 4+15,
y = 19.
We know Ted has 10 comics after 2 months from the graph.
19-10= 9
Therefore, Orio has 9 more comic books than Ted.
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The complete question is -
Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?
(14) Given L lI M || N, find the value of x.
Based on the corresponding angles theorem, the value of x is: 64°.
What is the Corresponding Angles Theorem?When two angles that are formed by a transversal and two parallel lines lie in relative position to each other on each of the parallel lines, they are called corresponding angles. According to the corresponding angles theorem, both angles are congruent to each other.
Angle x and 64 degrees are corresponding angles. They are therefore congruent to each other.
Thus, x = 64° [corresponding angles theorem]
In summary, based on the corresponding angles theorem, the value of x is: 64°.
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If $5 deposited is represented by +$5, how can $3 withdrawn from the bank
be represented
Answer:
-3
Step-by-step explanation:
Taking out 3 would give you a negative number
The label on a car's antifreeze container claims to protect the car between -40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C = 5/9 (F - 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
The compound inequality to determine the Fahrenheit temperature range is given by [tex]-40 < \frac{5}{9}(F-32) < 125[/tex] .
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.
Inequality is represented by:
The notation x < y means that x is less than y.The notation x > y means that x is greater than y.The notation x ≤ y or x ⩽ y means that x is less than or equal to y The notation x ≥ y or x ⩾ y means that x is greater than or equal to yA compound inequality is of the form : a < x < b implies that the value of x lies between the values of a and b.
According to the question if temperature is denoted in Celsius the inequality can be written as : -40° < °C < 125°
Now we know that the relation between C and F can be written as
[tex]C=\frac{5}{9}(F-32)[/tex]
Therefore the required inequality will be of the form:
[tex]-40 < \frac{5}{9}(F-32) < 125[/tex]
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A case of 24 pairs of the same kind of sports shoes costs a little more than $800. Explain whether $28 per pair with tax included is a good estmate of the price
Answer:
$ 33.33
Step-by-step explanation:
can you make me brainliest pls
Broo someone help pllss
========================================================
Explanation:
15 - 2.5x is the same as 15 + (-2.5)x
Then we can swap the terms to get -2.5x+15
Therefore, the original equation is the same as -2.5x+15 = 40
To solve this equation, we follow PEMDAS in reverse. So instead of starting with the "P", we start with the "S". There's no subtraction operations to undo, so we move onto the "A". There is an additional operation to undo, which is the +15
To undo the +15, we subtract 15 from both sides
-2.5x+15 = 40
-2.5x+15-15 = 40-15
-2.5x = 25
The next step after this would be to divide both sides by -2.5 to undo the multiplication. The -2.5x means "-2.5 times x".
If f(x-1)=x³+3x²-3x+7, find f(1)
Answer: f(1)=21
Step-by-step explanation:
f(x-1)=x³+3x²-3x+7
f(x-1)=(x-1+1)³+3(x-1+1)²-3(x-1+1)+7
f(1)=(1+1)³+3(1+1)²-3(1+1)+7
f(1)=(2)³+3(2)²-3(2)+7
f(1)=8+3(4)-6+7
f(1)=8+12+1
f(1)=21
3. Jason and Eric discovered that the
means of their grades for the first
marking period in their math class
were identical. They also noticed that
the standard deviation of Jason's
grades is 20.7, while the standard
deviation of Eric's grades is 2.7. Which
statement must be true?
(1) In general, Eric's grades were lower
than Jason's grades.
(2) Eric's grades are more consistent than
Jason's grades
(3) Eric had more failing grades during the
marking period than Jason had.
(4) The median for Eric's grades is lower
than the median for Jason's grades.
Answer:
2
Step-by-step explanation:
MAD stands for mean absolute deviation.
The larger the MAD, the more spread out the data set is.
This means that Jason’s grades must vary more.
b) Find the values of y.
y² = 169
I wrote that it equals to 13 but it’s not right. Please help!!
if m<4=35 degrees, find m<2 and m<3
35, ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.
What is alternate interior angles?
Two angles that are on the interior of and, but on different sides of the transversal, are said to be alternate interior angles. The alternate interior angles theorem states that the alternate interior angles must be congruent if two parallel lines are cut by a transversal.Given
m∠4=35
From the image given, angle 2 and angle 4 lie on opposite side of the line that intercepts the two parallel lines, AB and CD. Angle 2 and angle 4 both lie within the parallel lines.
Therefore, ∠2 and ∠4 are alternate interior angles.
Thus,
m ∠2 = m∠4 (alternate interior angles theorem)
since m∠4 = 35°
therefore m∠2 = 35°
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Please help
Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.
Answer:
it's true, not false.
Step-by-step explanation:
it's true, not false.
URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
find the area of the triangle.
Answer:
2x^2 + 8x
Step-by-step explanation:
Area of triangle: base x height / 2
So: 2x(2x+8)/2
We cancel 2 so:
x(2x+8)
then = 2x^2 + 8x
i neeed help 5(9/12−14)+0.5
can u solve
Answer:
[tex] \sf \large \: \frac{ - 263}{4} [/tex]
Step-by-step explanation:
5(9/12−14)+0.5
=5(3/4−14)+0.5
=5(−53/4)+0.5
=−265/4+0.5
=−263/4
Find the dimensions and maximum area of a rectangle if its perimeter is 12
Is the answer 48?
Please help!
Use the expression 5x + 2y + 9 − 7 to identify: a. The terms, b. The coefficients, c. The constants.
The required answers are,
a. The terms - 5x, 27, 9, -7
b. The coefficients - 5 and 2
c. The constants - 9 and -7
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is 5x + 2y + 9 − 7
Now the terms in the equation are 5x, 27, 9, -7
Therefore,
Terms = 5x, 27, 9, -7
Now coefficient is a number or any symbol representing a constant value that is multiplied by the variable.
So the variables in the given expressions are x and y.
And their multiples are 5 and 2, 5 is in multiplication of x and 2 is in multiplication of y.
Thus, coefficients are, 5 and 2
or, Coefficients = 5 and 2
Now th constants are the numbers that are not in multiplication with the variable. Thus, their value remains unchanged.
So in the given expression 9 and -7 are the constants that are not in multiplication with the variables.
Thus,
Constants = 9 and -7
Hence we get,
Terms = 5x, 27, 9, -7
Coefficients = 5 and 2
Constants = 9 and -7
Thus, the required answers are,
a. The terms -5x, 27, 9, -7
b. The coefficients - 5 and 2
c. The constants - 9 and -7
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Q2) 1,-3, 9, -27, 81, -243, ...
Bobby was absent from school and called you to find out what he missed. You say to find the next
numbers in pattern 2 you would
Solving the Question
We're given:
1,-3, 9, -27, 81, -243, ...The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.
i.e. 1 x -3 = -3-3 x -3 = 99 x -3 = -27Therefore, to get each the next two terms, we have to multiply the previous term by -3.
AnswerTherefore, to get each the next two terms, we have to multiply the previous term by -3.
Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need?
Answer:
6.0 ounces
Step-by-step explanation:
help 32. (a) and (b)
Answer:
Below
Step-by-step explanation:
a) He answered 9 questions, lets say that he answered all 9 correctly
= 9x5 = 45 points (highest)
b) He answered 9 questions, lets say that he answered them all wrongly
0-(5x9)
0-45
-45
the biggest advantage of correlational research includes: multiple choice question. the use of important manipulated variables. the use of important variables in a real-world setting. the ability to draw causal conclusions. the use of random assignment.
We can actually deduce here that the biggest advantage of correlational research is: The use of important variables in a real-world setting.
What is correlational research?A correlational research is actually known to be the research that investigates relationships between two variables or more. It does this without the researcher trying to manipulate or control any of the variables.
Correlational research is known to be a non-experimental type of quantitative research. In this research, the researcher assesses the statistical relationship that exists between the variables.
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consider the line y=-7x-1 what is the slope of a line perpendicular to this one
Answer:
1/7
Step-by-step explanation:
y = -7x - 1 so slope is -7
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -7 is 1/7
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-7}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
thus a line perpendicular to that slope will have a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-7}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-7}\implies {\LARGE \begin{array}{llll} \cfrac{1}{7} \end{array}}}}[/tex]