Answer:
-96a + 84b + 32x + 24y
Step-by-step explanation:
if you simplify an answer then it is equivilent to the beggining equation
hope this helped:)
Mary’s credit card company charges 16% interest on her outstanding credit card balance each month. Her minimum payment is $20 each month. Mary’s credit card bill is $70 in January. Mary only pays the minimum amount each month, and she does not spend any additional money on her credit card. How long, in months, will it take her to pay off her bill from January?
Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Suppose r varies directly as the square of m, and inversely as s. If r equals 16when m equals 9 and s equals 9, find r when m equals 27 and s equals 9.
Answer:
144
Step-by-step explanation:
r = k m^2 / s <====given ( k is proportionality constant)
16 = k ( 9^2) / 9 shows k = 1 7/9
then:
r = 1 7/9 * 27^2 / 9 = 144
which function is best represented by this graph?A) f(x) = -3x² + 2x + 1 B) f(x) = 3x² + 2x - 4C) f(x) = x² + x - 4D) f(x) = x² + 2x - 3
Answer:
From the graph, the roots of the equation are given below as
[tex]\begin{gathered} x=-3 \\ x=1 \end{gathered}[/tex]These are the points where the curve cuts the x-axis
The y-intercepts of the graph is given below as
[tex](0,-3)[/tex]Concept:
To find the equation of the graph, we will use the formula below
[tex]\begin{gathered} f(x)=a(x+3)(x-1) \\ x=0,y=-3 \\ -3=a(0+3)(0-1) \\ \frac{-3}{-3}=\frac{-3a}{-3} \\ a=1 \end{gathered}[/tex]Hence,
By substituting the values, we will have
[tex]\begin{gathered} f(x)=a(x+3)(x-1) \\ f(x)=1(x+3)(x-1) \\ f(x)=x^2-x+3x-3 \\ f(x)=x^2+2x-3 \end{gathered}[/tex]Hence,
The function of the graph is
[tex]f(x)=x^2+2x-3[/tex]OPTION D is the right answer
2x-5y = 10
x-intercept:
y -intercept:
Answer:
x-intercept: (−5, 0)
y-intercept: (0, 2)
Step-by-step explanation:
FOR X INTERCEPT WE KNOW THAT Y WILL BE A AT THE AXIS LINE WE CAN SUBSTITUTE THW VALUE O IN THE PLACE OF Y TO GET X-INTERCEPT
[tex]2x - 5(0) = 10 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]
5 is the x-intercept
(5,0)
FOR Y INTERCEPT ON THE Y AXIS X IS EQUAL TO 0 WE CAN PLUG IN TO FIND THE VALUE OF THE Y -INTERCEPT IN THE EQUATION
[tex]2(0) - 5y = 10 \\ - 5y = 10 \\ \frac{ - 5y}{ - 5} = \frac{10}{ - 5} \\ y = - 2[/tex]
-2 is the Y-intercept
(0,-2)
Hope this helps
Question 1 of 10
What is the slope of the line shown below?
A. 3
B. -1/3
C. -3
D. 1/3
Solve 5 and 6
for 40 POINTS
Answer:
A= 184.4 yards
Step-by-step explanation:
couldnt figure out b
Explain why the volume of these two stacks of quarters are equal? Use Cavaliens principle in your explanation (If you need to)
Given the word problem, we can deduce the following information:
1. Two stacks of 18 pennies each are shown.
To determine if the volumes of the given stacks of quarters are equal, we note that Cavelieri's Principle states:
The volumes of two solids are equal if the areas of the corresponding sections drawn parallel to some given plane are equal.
Since each penny in both stacks has the same base area and has the same number of pennies. Therefore, the volumes of the given stacks are equal.
Use the graph of the exponential function to answer the following question.Which statements about the graph are TRUE? Select all that apply. A. The x-intercept is 2. B. The y-intercept is 3. C. The asymptote is y = -1D. The range is all real numbers E. The domain is all real numbers F. The function shows growth G. As x increases, y approaches, but never reaches, -1
The curve intersect the x axis at x = 1. So x-intercept is 1. Statement A is false.
The curve intersect the y-axis at y= 3. So y intercept is 3. Statement B is correct.
The curve tends toward infinity at y = -1. So y = -1 asysmptote of the function. Statement C is correct.
The range of function is y > -1. So range is not all real number. Thus statement D is incorrect.
The function is defined for x > -0.5. At x = 0.5 function tends toward infinity. Thus statement E is incorrect.
As we move from left to right on x-axis then function decreases. So function shows decay. The statement F is incorrect.
The value of function approaches -1 as value of x increase but does not cross -1 ot touch the value y = -1. So statement G is correct.
Thus correct statement are,
B, C and G.
Omar earns $7 each time he sweeps the house. He sweeps
the house 3 times. How much money does Omar earn?
Answer:
$21
Step-by-step explanation:
PLS HELP SOLVE THE ABSOLUTE VALUE EQUATION
Answer:
See below
Step-by-step explanation:
If the question is SUPPOSED to be
| 2x +3 | = 3 you have to solve for the left side being positive or negative
Positive 2x + 3 = 3
2x = 0
then x = 0
Negative - ( 2x+3) = 3
-2x -3 = 3
-2x = 6
x = -3
So answer A
Enter an inequality that represents the graph in the box.
The inequality that represents the graph is (1/4)x - y + 3/2 ≤ 0.
What is inequality?An inequality compares two non-qual objects.
We know the general equation of a line is ax + by + c = 0.
From observation, we can conclude that the given line has points (0, -6) and (2, 2).
∴ The slope of the line is [tex]\frac{y_2 - y_1}{x_2- _ x_1}[/tex].
= (0 - 2)/(-6 - 2).
= -2/-8.
= 1/4.
∴ Equation of the line in slope intercept form y = mx + b.
2 = (1/4)(2) + b.
2 = 1/2 + b.
b = 3/2.
∴ Equation of the line is y = 1/4(x) + 3/2.
(1/4)x - y + 3/2 = 0 but the region will be (1/4)x - y + 3/2 ≤ 0.
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Solve the following inequality algebraically. [tex] |x - 1| \leqslant 13[/tex]
lx-1 l ≤ 13
There are 2 solutions:
x-1 ≤ 13
and
x-1 ≥ -13
Solve each one
x-1 ≤ 13
add 1 to both sides of the equation
x-1+1≤ 13+1
x ≤ 14
x-1 ≥ -13
Add 1 to both sides:
x-1+1 ≥-13+1
x ≥ -12
-12 ≤ x ≤ 14
1118 11 + 600-1110
[tex]12 \times (5 + 4)[/tex]
Answer:
111811 + 600 - 1110
111871 - 1110
= 110761
12 × (5+4)
60+4
= 64
Convert 3.5 ⋅ 104 to standard form. (5 points)
3,500
35,000
0.000035
In 1991 the average family income was about 39000, and in 2011 it was about 66820.
Let
x
=
0
represent 1991,
x
=
1
represent 1992, and so on. Find values for
a
and
b
(rounded to one decimal place if necessary) so that
f
(
x
)
=
a
x
+
b
models the data
a
=
b
=
What was the average family income in 2006?
The average family income in 2006 is $59865.
What is the income?Based on the information illustrated, the required model is given as:
y = ax + b
y = average family income
x = years since 1991
The slope based on the information given is b = 39000.
Therefore, the family income in 2006 will be:
= (1391 × 15) + 39000
= 59865
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Simplify the expression to a + bi form:(12 – 6i)(3 – 10i)
Solution:
Given the expression:
[tex](12-6i)(3-10i)[/tex]To simplify in the form:
[tex]a+bi[/tex]step 1:
Multiply the terms in the second parenthesis by each term in the first parenthesis.
Thus,
[tex]\begin{gathered} 12(3-10i)-6i(3-10i) \\ \Rightarrow36-120i-18i+60i^2 \end{gathered}[/tex]step 2:
Collect like terms.
[tex]\begin{gathered} 36-120i-18i+60i^2 \\ \text{but } \\ i^2=-1 \\ \text{thus,} \\ 36+60(-1)-120i-18i \\ \Rightarrow36-60-120i-18i \\ =-24-138i \\ \Rightarrow-24+(-138)i \end{gathered}[/tex]Hence, the expression is simplified as
[tex]-24+(-138)i[/tex]PLEASE ANSWER)At the grocery store, on 8-ounce bottle of salad dressing costs $1.76 A 28 ounce bottle costs 5.88. How much cheaper is it per ounce bottle rather then the 8 ounce bottle
A 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.
What is termed as the unitary method?The unitary method is a process that determines the value of a single unit from value of multiple units, as well as the value of multiple units from value of a single unit. "It is a method in which we discover the value of a single unit by subtracting the value of multiple units as well as the value of multiple units by subtracting the value of a single unit."For the given question;
The 8-ounce bottle of salad dressing costs $1.76
This can be written as-
8-ounce bottle -----> $1.76.
For finding the price of one ounce divide both side by 8.
1-ounce bottle -----> $0.22
Now, for 28 ounce bottle.
28 ounce bottle costs $5.88.
28 ounce bottle-----> $5.88.
For finding the price of one ounce divide both side by 28.
1-ounce bottle -----> $0.21
Difference = 1-ounce for 28 bottle - 1-ounce for 8 bottle
Difference = $0.22 - $0.21
Difference = $0.01
Thus, 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.
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Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 monthly fee and charges an additional0.09 for each minute of calls. The second plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. For how many minutes of callswill the costs of the two plans be equal?
First Plan
Monthly fee = $26
charge per min = $0.09
Second Plan
Monthly fee = $19
charge per min = $0.13
Solution
Let the number of minutes spent on calls in a specific month be x
The total cost spent using the first plan:
[tex]0.09x\text{ + 26}[/tex]The total cost spent using the second plan:
[tex]0.13x\text{ + 19}[/tex]If the cost from the first plan would be equal to that of the second plan:
[tex]\begin{gathered} 0.09x\text{ + 26 = 0.13x + 19} \\ \text{collect like terms} \\ 0.04x\text{ = 7} \\ x\text{ = 175} \end{gathered}[/tex]Hence, the number of minutes of calls for which both plans would be equal is 175mins
FV - OVSolve for FV in the scientific formula A =Twhere FV and OV are variables.FV =Pls help
FV=OV +TA
1) To solve for a variable means let that variable isolated on one side of the equation.
[tex]A=\frac{FV-OV}{T}[/tex]2) Since we want to solve for FV, let's multiply it crossed like this
[tex]\begin{gathered} TA=FV-OV \\ -FV+TA-TA=-OV-TA \\ -FV=-OV-TA \\ FV=OV\text{ +TA} \end{gathered}[/tex]3) So now we can solve for FV, all that's left are the figures for OV and TA.
Write an inequality that represents the situation.A certain swimming pool holds no more than 700,000 gallons. How many gallons might be in the pool?
Let x represent the number of gallons that might be in the pool. When we say 'no more than 700000 gallons', it means 'less than or equal to 700000'. The symbol for 'less than or equal' to is '≤ '
Thus, the inequality representing this situation is
x ≤ 700000
How do I draw the fourth diagram in a square? How do I know how many sticks in the sixth diagram? How many thumb tacks are in the seventh diagram?
First, we have to analyze how each number grows (the number of thumbs and the number of sticks for each diagram)
So we can build two equations that give us the number of thumbs and the number of sticks for each diagram, let be n for the number of the diagram, so :
Now we can know the number of thumbs and sticks for any diagram, and we can solve the questions provided, first, let's draw the 4th diagram:
Now
How do I know how many sticks are in the sixth diagram?
sticks= 4(6) = 24
There are 24 sticks in the sixth diagram.
How many thumb tacks are in the seventh diagram?
thumbs= 3(7)+1 = 22
There are 22 thumbs in the seventh diagram.
001 (part 1 of 2) 10.0 points
A bug walking on the circular rim of a flower
pot completes one lap around the planter in
12.25 s.
If the radius of the planter is 11.3 em, how
fast was it traveling?
Answer in units of cm/s.
On the first day of summer break, Katie and her friends go to the theater to see the latest action movie, Dark Emperor: Fist of Vengeance. After Katie buys a ticket, she also buys a bucket of popcorn and a soda for $9.25. In all, Katie spends $23.25 at the movie theater. Which equation can you use to find the cost c of Katie's ticket?
We have the following information:
c is the cost of Katie's ticket; a bucket of popcorn and a soda cost $9.25, we determine c by using the following expression:
[tex]c=23.25-9.25\Rightarrow c=14[/tex](This assuming there is no additional information).
Answer:1234567890
Step-by-step explanation:
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What is the distributive property for 3×546 how do you rewrite that
Answer:
1638
Step-by-step explanation:
3(500)+3(40)+3(6)=1500+120+18=1638
6ft , 5ft , c. What is the length of the hypotenuse
The length of the hypotenuse of the triangle is √61 ft
How to determine the length of the hypotenuse?From the question, we have the following parameters that can be used in our computation:
Smaller sides = 6ft and 5 ft
Hypotenuse = c
The hypotenuse of a triangle is calculated using the following Pythagoras theorem
Hypotenuse^2 = Opposite^2 + Adjacent^2
Where Opposite and Adjacent are 6 and 5
So, we have
c^2 = 5^2 + 6^2
Evaluate
c^2 = 61
Take the square roots
c = √61
Hence, the hypotenuse is √61 ft
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Help pleaseeeeeeeeeeeee
First, notice that we have in total 15 items. Then, we have that the probabilities are:
[tex]\begin{gathered} \text{ \# of items with yellow: }3 \\ \Rightarrow P(Yellow)=\frac{3}{15}=\frac{1}{5} \\ \text{ \# of items with purple: 2} \\ \Rightarrow P(Purple)=\frac{2}{15} \\ \text{ \# of items striped: 4} \\ \Rightarrow P(not\text{ striped)}=1-P(striped)=1-\frac{4}{15}=\frac{11}{15} \\ \text{ \# of items solid: 5} \\ \Rightarrow P(solid)=\frac{5}{15}=\frac{1}{3} \\ \text{ \#items with polka dot: 3} \\ \Rightarrow P(not\text{ polka dot) = 1 - P(polka dot) = 1-}\frac{3}{15}=\frac{4}{5} \end{gathered}[/tex]Use the data shown to answer the questions that follow.
Person Minutes Shopping in the Store Amount Spent on Groceries at Checkout
1 56.5 177.5
2 84.4 260.2
3 66.3 197.9
4 47.3 82.9
5 48.7 147.1
6 47.1 148.3
7 60.7 182.1
8 76 228
Which graph is most appropriate for these data?
Bar Chart
Scatter Plot
Pie Chart
Time Series Plot
Copy and paste the above data into Excel and make the most appropriate graph for these data. Make sure the x-axis represents the "Minutes Shopping in the Store" and that the y-axis represents the "Amount Spent on Groceries at Checkout."
I have successfully created this graph in Excel as requested.
I have not graphed the data.
One of the values in the plot of this data does not fit the pattern of the other values. It would be called an outlier.
What is the x-value and y-value of the outlier?
(
Number
,
Number
)
Hint: If you hover your mouse over the points in your Excel graph it will show you the exact x-value and y-value of the point.
The one data point that does not fit in scatter plot to the pattern is (60.7 , 182.1)
What is a scatter plot meaning?
A scatter plot is a collection of dots that are plotted on a horizontal and vertical axis. In statistics, scatter plots are crucial because they can demonstrate the degree of correlation, if any, between the values of observed quantities or occurrences (called variables).Determine the link or correlation between two variables using a scatter plot. You may find out whether your data points might be related by plotting a scattergram with them.The best chart is Scatter Plot
The one data point that does not fit to the pattern is
(60.7 , 182.1)
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On your own paper, graph the system of equations and identify the solution.−+=−22+=10
The system of equations is given as
[tex]\begin{gathered} -x+y=-2 \\ 2x+y=10 \end{gathered}[/tex]To plot the graph for each equation, we can prepare a table of values taking
[tex]x=2,4,6,8,10[/tex]EQUATION 1: -x +y = -2
EQUATION 2: 2x + y = 10
The graph can then be drawn as shown below:
The solution to the system of equations is the point where the two graphs intersect.
This is seen in the graph above as (4, 2).
Hence, the correct option is the FOURTH OPTION.
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.
1. Find the distance from A to B. Explain how you found this distance.
2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.
3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.
Answer:
1.
the distance is 6 units
Explanation: you can just count the squares cince the line is straight and even if you use the Distance Formula... you'll get the same answer.
2.
A to B = 6 units
B to C = 4 units
C to D = 3 units
So...
6+4+3 = 13 units
3.
The distance between A to D is = 5 units
You can find the answer by using the Distance Formula.
A. A one-way train ticket in the city costs $1.65. A monthly pass costs $55. For what numbers of rides should you buy the monthly pass?
B. In February, there are exactly 4 weeks. You ride the train one time each weekday and two times on Saturdays and Sundays in February. About how much do you save by using the cheaper option?
A. you should buy pass for minimum 34 ride per month to get profit.
B. you save 4.4$ by using the monthly pass.
How to calculate profit?
if monthly pass cost you more than one way pass then you loss money. To calculate the minimum amount of rides to get profit from monthly pass. Divide the monthly pass cost by one-way ticket cost.
A. minimum rides= cost of monthly pass/cost of one way ticket
minimum rides=[tex]\frac{55}{1.65}[/tex]
minimum rides=33.33
you need to travel at least 34 times to purchase the pass
B. you have 9 rides per week. 5 on weekdays and 4 on weekends
total rides per month= 9×4
=36
cost of 36 rides=36×1.65
59.4
amount you save=59.4-55
=4.4$
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