Add the 259 to the initial price:
10,000 + 259 = 10,259
Increase that price by 25%, so multiply by 1.25:
10259 x 1.25 = 12,823.75
The price is then increased by another 10%, multiply by 1.10:
12,823.75 x 1.10 = 14,106.13
List price = $14,106.13
name the sides of the angle.
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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URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
For each of the graphs below choose inequality that best represent the graph. explain your reasoning.
a. This graph represents an inequality that has:
A. No solution.
B. All real numbers as the solution.
One such inequality is:
A. x > x + 1.
B. x + 2 < 1.
C. x + 2 > 1.
D. x < x + 1.
Because solving it yields ___, an inequality which is:
A.True.
B.False.
for all real numbers x.
(Type an inequality. Simplify your answer).
The desired inequalities are given as follows:
A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
Which inequality represents graph A?For graph A, as nothing is plotted on the line, we have a inequality with no solution.
The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:
A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
Which inequality represents graph B?For graph B, as the entire line is plotted, we have a inequality with all real values as solution.
From the same logic above, of the successor, the correct option is:
D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
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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
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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Question 4 of 10
Which choice is equivalent to the product below for acceptable values of x?
√7x √x+2
The equivalent choice of √7x √x+2 is x√7 + 2√7x
How to determine the equivalent choice?The product expression is given as:
√7x √x+2
Rewrite as:
√7x * (√x + 2)
Expand the bracket
√7x^2 + 2√7x
Take the square root of x^2
So, we have
x√7 + 2√7x
Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x
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Find the dimensions and maximum area of a rectangle if its perimeter is 12
Is the answer 48?
Please help!
Two boats are traveling in a canal in opposite directions, where x represents the distance, in feet, between the boats. the equation 4(x 1) = 4x 4 models the paths of the boats. solve for x. no solution 0 all real numbers 1
Answer: the answer would be all real numbers
Step-by-step explanation:
I got it right on the test
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".
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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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.
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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| 7 + m | - 4 > 8
A m > 9 or m < -15
B m > -2 or m < -20
C m > 5 or m < -19
D m > 7 or m < 0
Answer:
C m > 5 or m < -19
Step-by-step explanation:
i took the test
(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]
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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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
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
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.
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
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?
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.
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
At the beginning of the fall, the water level of a lake is 11 1/3
feet below normal level. After a drought, the lake's water
level dropped 7 2/3 feet. Where is the lake's current water
level in relation to its normal water level?
The lake's current water is dropped ( 55 / 3 ) feet below the normal water level.
A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.
Let x be the normal water level of the lake.
At the beginning of the fall, the level of water of the lake is [tex]11\frac{1}{3}[/tex] feet below the water level.
So, the change in water level [tex]-11\frac{1}{3}[/tex].
Then, the water level of the lake dropped [tex]7\frac{2}{3}[/tex] feet after the drought.
Again, the change in water level will be [tex]-7\frac{2}{3}[/tex].
Hence, the total change in water level will be:
[tex]=-11\frac{1}{3}-7\frac{2}{3}[/tex]
= ( - 33 + 1 ) / 3 - ( 21 + 2 ) / 3
= ( - 32 / 3 ) - ( 23 / 3 )
= ( - 55 / 3 )
Therefore, the lake's water level dropped ( 55 / 3 ) feet below the normal water level.
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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.
23+11x-5=39
What’s the answer
A waitress is filling coffee mugs at a diner. She pours 350 milliliters into each of the 5 mugs from a full pot of coffee. If her coffee pot holds 2.5 liters, how many milliliters does she have left in her pot?
Answer:750 milliliters
Step-by-step explanation:
2.5 liters=2500 milli
5*350=1750 milli
2000-1750=750 milli
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
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]
solve: 5/3x+1/3x=21 2/3+7/3
Answer: x = 12
Step-by-step explanation:
1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]
New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]
2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]
3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]
4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]
5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]
6) Simplify: 6x = 72
7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]
x = 12