Answer:
Neither of them are solutions unless you had a typo in the question.
Step-by-step explanation:
1) plug in the known values into both of the equations
First Coordinate:
y-x[tex]\leq[/tex]-5
(1)-(0)[tex]\leq[/tex]-5
1[tex]\leq[/tex]-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.
Second Coordinate:
1) y-x[tex]\leq[/tex]-5
(-6)-(-1)[tex]\leq[/tex]-5
(-6)+1[tex]\leq[/tex]-5 --> It becomes a +1 because two negatives make a positive
-5 [tex]\leq[/tex]-5 - -> which means this is true because -5 is less than or equal to -5
2) y-2x>-5
(-6)-2(-1)>-5
-6(2)>-5
-12>-5 NOT TRUE
ANSWER: Neither of them are solutions unless you had a typo in the question.
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The value of function is positive so the function have maximum value 30 at x=3.
In the given question we have to find the maximum or the minimum value of a function.
The given function is
f(x) = -3x^2+18x+3
To find the maximum or minimum value we firstly find the value of f'(x).
f'(x) = -6x+18
Now put f'(x)=0
-6x+18=0
Subtract 18 on both side we get
-6x=-18
Divide by -6 on both side we get
x = 3
Now finding the value of function at x=3
f(3)= -3*(3)^2+18*3+3
f(3)= -3*9+54+3
f(3)= -27+54+3
f(3)= 30
Since the value of function is positive so the function have maximum value 30 at x=3.
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What is the converse of the following conditional statement?
"If this month is September, then next month ends in the letter r."
Determine the validity of the converse and give a counterexample if the converse is not valid.
The converse statement is:
"If next month ends in the letter r, then this month is September."
And a counterexample of this is the month of September.
What is the converse of the conditional statement?A conditional statement is of the form:
If P, then Q.
And a converse statement of the above one will be:
if Q, then P.
Here our conditional statement is:
"If this month is September, then next month ends in the letter r."
So we have:
P = this month is September.
Q = The next month ends in the letter r.
Replacing that in the converse statement formula we get:
"If next month ends in the letter r, then this month is September."
A counterexample is September, it ends with an r, and the month after it is not September.
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Answer:
If next month ends in the letter r, then this month is September. The converse is invalid; a counterexample is December.
Write an equation (any form) for the quadratic graphed below
The equation for the quadratic graphed is [tex]2x^{2}+4x+2[/tex].
Let the quadratic equation be [tex]y =a x^{2}+bx+c[/tex]
Points given in graph,
A(-1,0), B(-2,2), C(0,2)
Put the values in quadratic equation
For C(0,2)
[tex]2 =a(0)^{2}+b(0)+c[/tex]
[tex]2 = 0+0+c[/tex]
c = 2
For A(-1,0)
[tex]0 =a(-1)^{2}+b(-1)+2[/tex]
[tex]a-b+2 = 0[/tex]
a - b = -2 ...........(i)
For B(-2,2)
[tex]2 =a(-2)^{2}+b(-2)+2[/tex]
[tex]4a-2b+2=2[/tex]
2a - b = 0 ............(ii)
Solving eq (i) and (ii)
a = 2
b = 4
Putting the value of a, b and c in quadratic equation,
[tex]y =2x^{2}+4x+2[/tex]
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Mr.Hollis determines that he gives away 800each month if he gives away 16 of his budget then how much is his overall budget
The overall budget the Mr Hollis has is $12800.
What is fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Mr.Hollis determines that he gives away 800 each month and the fraction is 1/6 of his budget.
The value of the overall budget will be illustrated as x.
Therefore 1/16 × x = 800
x / 16 = 800
x = 16 × 800
x = 12800
Hollis has $12800 as budget.
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What is the slope of a line perpendicular to the line whose equation is 6x + y = 8.
Fully simplify your answer.
Answer:
1/6
Step-by-step explanation:
y = -6x + 8
Perpendicular line would be the reciprocal of the slope
PLEASE I need this asap it’s due tonight {11/7/2022} PLEASE
Answer:
7 [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Multiply 3 1/2 by 2 1/4
Convert to improper fraction to make it simpler:
7/2 times 9/4 = 7 7/8 square millimeters.
Hope this helps :)
Answer:
Step-by-step explanation:
3.5 x 2.25 = 7.875 or 7 and 7/8
for an ordered pair (x comma y )in a relation, the x element represents the .
for an ordered pair (x comma y )in a relation, the x element represents the horizontal axis.
please help will give brainliest
Step-by-step explanation:
2x - 27 + 3x + 27 = 180
5x = 180
x = 36
The manager of a movie theater compared ticket
sales for two movies showing on the same night.
For the first movie, 150 adult tickets and
100 child tickets were sold for $3,087.50 in total
ticket sales. For the second movie, 200 adult
tickets and 150 child tickets were sold for
$4,287.50 in total ticket sales. What was the price
of each adult and each child ticket?
Answer:
adult: $13.75child: $10.25Step-by-step explanation:
You have two revenue relations and want the price of each adult and child ticket. 150 adult and 100 child tickets sold for $3087.50; 200 adult and 150 child tickets sold for $4287.50.
EquationsEach of the revenue relations can be formulated as an equation. If x and y represent the price of each adult and child ticket, respectively, then ...
150x +100y = 3087.50
200x +150y = 4287.50
SolutionThe solution can be found many ways. A graphing calculator (first attachment) shows the solution to be ...
adult price: $13.75child price: $10.25The calculator function that reduces a matrix to row-echelon form can be used on the augmented matrix of coefficients. That, too, gives the solution about as quickly as you can enter the coefficients. This is shown in the second attachment.
Subtracting twice the second equation from 3 times the first will eliminate the y-variable:
3(150x +100y) -2(200x +150y) = 3(3087.50) -2(4287.50)
50x = 687.50
x = 13.75 . . . . . . divide by 50
From the second equation, ...
y = (4287.50 -200(13.75))/150 = 1537.50/150
y = 10.25
Which statement best analyzes the role this event plays in the plot?
In "The Necklace" Mathilde realizes too late that the necklace is a fake.
The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
How to illustrate the information?There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.
Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.
In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.
Therefore, the correct option is A.
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Complete question
Which statement best analyzes the role this event plays in The Necklace plot?
“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”
It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.
It is the climax of the story since the reader is most excited at this point.
It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.
It serves as the falling action because it shows that Mathilde will have to get used to her place in life.
8+ (-3) + (-8)
NEED HELP
Answer:
[tex]-3[/tex]
Step-by-step:
[tex]8+ (-3) + (-8)[/tex]
1 ) Combine like terms...
[tex]=5 - 8[/tex]
2 ) Solve...
[tex]= - 3[/tex]
Hope this helps! :)
16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.
Answer:
12=b
Step-by-step explanation:
2b+7=3b-4 is what your gonna do ti solve the problem because both segments have the same length. Then you solve for b by -2b from each side. Then it will become 7=b-4. Add 4 to the seven to get 12=b
A colony of ants carried away 16 of your muffins. That was 4/7 of all of them! With how many did you start?
You started with a total of 28 muffins
How to determine the amount you started with?From the question, the given parameters are:
Proportion carried away = 16 of the total muffins
Proportion carried away = 4/7 of the total muffins
The above parameters implies that
4/7 of the total muffins = 16
Represent the amount you started with x
So, we have the following representation
4/7 of x = 16
Express as products
4/7x = 16
Make x the subject
x = 7 * 16/4
Evaluate
x = 28
Hence, the total number of muffins is 28
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Can anyone state the vertex of the graph?
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
However, the graph has no maximum or minimum
This means that there is absence of a vertex in the graph
The transformationHere, we have:
The graph is translated 4 units to the left of the origin The graph is translated 2 units below the originThis transformation can be represented as (x - 4, y - 2)
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can someone help its easy but im lazy plssss
The equation which represents the price of the ticket after the discount is y = 0.25x.
What is a linear equation?A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that the movie theatre is giving a discount of 75% the original cost of the ticket is x and discounted cost is represented by the variable y.
The equation for the cost of the ticket will be written as,
y = x - 0.75x
y = 0.25x
The graph of the linear equation is attached with the answer below.
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how do u solve these simultaneous equations
y=3x+5
y=4x^2+x
The solutions to the given simultaneous equations as required in the task content are; (1.4, 9.2) and (-0.9, 2.3).
What is the solution to the simultaneous equations?It follows from the task content that the solution to the simultaneous equations as given in the task content is to be determined.
Given: y = 3x + 5 and y = 4x² + x.
Therefore, since y = y; it follows that the equation which holds true is;
3x + 5 = 4x² + x
4x² - 2x - 5 = 0.
Therefore, the quadratic equation above can be solved for the values of x so that by approximation, we have;
x = 1.4 OR x = -0.9.
Therefore, the corresponding values of y are;
y = 3(1.4) + 5 = 9.2
OR
y = 3(-0.9) + 5 = 2.3
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the table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002 2003 2004 2005 2006 sales 273 327 369 399 417 423 417 399 369 what was the average rate of change of annual sales a) between 2001 and 2002 millions of dollars/year b) between 2001 and 2006 millions of dollars/year
Main answer:
a) 18 millions of dollars/year
b) 6 millions of dollars/year
Step-by-step explanation:
a) the average rate of change of annual sales between 2001 and 2002 millions of dollars/year
Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)
= (417 - 399) / (2001 - 2002)
= 18 / 1
= 18 millions of dollars/year
b) the average rate of change of annual sales between 2001 and 2006 millions of dollars/year
Average rate = (Final year - Initial year) / (Sales on Final year - Sales on Initial year)
= (369 - 399) / (2006 - 2001)
= 30 / 5
= 6 millions of dollars/year
The average rate of change of annual sales between 2001 and 2002 is 18 millions of dollars/year , between 2001 and 2006 is 6 millions of dollars/year
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A company orders 11 boxed lunches from a deli for $84.15. If each boxed lunch costs the same amount, how much do 14 boxed lunches cost?
The cost for 14 boxed lunches is $107.10.
How to calculate the price?From the information, the company orders 11 boxed lunches from a deli for $84.15. Therefore, we need to calculate the unit price and this will be:
= Total amount / Number of orders
= $84.15 / 11
= $7.65
Therefore, the value for 14 boxes will be:
= Unit price × Number of orders
= $7.65 × 14
= $107.1
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his table shows the ratio of the number of people to the number of pizzas needed. A 2-column table has 4 rows. Column 1 is labeled People with entries 5, 10, 15, 20. Column 2 is labeled Pizzas with entries 2, 4, 6, 8. Complete the statement about the equivalent ratios shown in this table. When the number of people is multiplied by 4, the number of pizzas is multiplied by .
When the number of people is multiplied by 4, the number of pizzas is multiplied by 4.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a proportional relationship can be modeled by the following mathematical expression:
y = kx
Where:
x represents the number of people.y represents the number of pizzas needed.k represents the constant of proportionality.If the x-value is multiplied by 4, we have:
x = 5 × 4
x = 20
From the corresponding y-value for 20 is equal to 8 and as such the number of pizzas needed should be multiplied by 4, in order to produce an equivalent ratio.
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For a snack, Miss Johnson gives her class graham crackers. She has a package of 30
graham crackers to share equally among twelve students.
How many graham crackers should each student receive?
Dividing
?
graham crackers among
Each student gets
crackers.
students can be found by solving
Answer:
each student get 2.5 of graham crackers
Step-by-step explanation:
[tex]total \: students \: = 12 \\ graham \: crackers \: = 30 \\ 30 \div 12 \\ = 2.5[/tex]
Tommaso and Pietro have each been given 3,818 euro to save for college.
Tommaso wants to invest his money in an account such that his investment
will increase to 1.6 times the initial amount in 6 years. Assume the account
pays a nominal annual interest of r % compounded quarterly.
Determine the value of r. Give your answer as a percentage number, not as
a decimal equivalent. Round to two decimal places.
Assume the account pays a nominal annual interest of r% compounded quarterly, the value of the interest rate (r) is equal to 7.87%.
How to determine the value of r?Mathematically, compound interest can be calculated by using this formula:
A(t) = P(1 + r/n)^{nt}
Where:
A represents the future value.P represents the principal.r represents the interest rate.n represents the number of times compounded.T represents the time measured in years.Substituting the given parameters into the formula, we have;
1.6(3,818) = 3,818(1 + r/8)^{8 × 6}
1.6 = (1 + r/8)^{48}
Taking the 48th root of both sides of the equation, we have:
[tex]\sqrt[48]{1.6} = \sqrt[48]{(1 + \frac{r}{8} )^{48} }[/tex]
1.00983983823726 = 1 + 0.125r
0.125r = 1.00983983823726 - 1
0.125r = 0.00983983823726
Interest rate, r = 0.00983983823726/0.125
Interest rate, r = 0.0787
Interest rate, r = 7.87%
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A 132 -inch is cut into two pieces. One piece is times the length of the other. Find the length of the shorter piece.
The length of the shorter piece is 33 inches.
According to the question,
We have the following information:
A 132 -inch is cut into two pieces. One piece is three times the length of the other.
Now, let's take the length of the shorter piece to be x inches and the length of another piece will be 3x inches.
Now, we have the following expression:
x+3x = 132
4x = 132
4 is in multiplication on the left hand side. So, it will be in the division on the right hand side.
x = 132/4
x = 33 inches
Hence, the length of the shorter piece is 33 inches.
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A window in the room has an actual width of 2. 5 feet. What is the width of the window in the blueprint? (same scale 3 in:5 ft)
The window width in the blueprint is 1.5 in.
Define the meaning of the term scale factor?A scale factor is a designation for figures with similar appearances but differing scales or measures.Assume two circles appear identical but have different radii. The scale factor specifies how much larger or smaller a figure is compared to the original figure.As per the given question-
A window in the room measures 2. 5 feet in width.
The given scale is-
Blue print (inches) : original (feet)
3 in : 5 ft
Divide both side by 2
1.5 in : 2.5 ft
Window's width in Blue print (inches) = 1.5 in.
As a result, the window width in the blueprint is 1.5 in.
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Graph the image of the given triangle after the transformation that has the rule (x, y) −> (x - 1, y+5) .
Answer:
I do not see the original triangle, but you would take the original and move it one unit to the left and 5 units up.
Step-by-step explanation:
For example, if the three vertices (corners) of the triangle were points:
(0,0), (1,5) and (-2,3).
Point (0,0) would move to (-1, 5) 0-1 and 0+5
Point (1,5) would move to (0, 10)
Point (-2,3) would move to (-3, 8)
Answer:
To graph the image of the triangle after the transformation, we first need to have the coordinates of the vertices of the original triangle. Once we have those coordinates, we can apply the transformation to each vertex to obtain the coordinates of the corresponding vertex in the transformed image. Then, we can plot the three transformed vertices to obtain the image of the triangle.
Let's say the original triangle has vertices A, B, and C with coordinates A(x1, y1), B(x2, y2), and C(x3, y3), respectively.
To obtain the transformed coordinates of A, we apply the transformation rule (x, y) → (x - 1, y + 5) to the coordinates of A:
A' = (x1 - 1, y1 + 5)
Similarly, we can obtain the transformed coordinates of B and C:
B' = (x2 - 1, y2 + 5)
C' = (x3 - 1, y3 + 5)
Now that we have the transformed coordinates of the three vertices, we can plot them to obtain the image of the triangle.
Here's an example:
Suppose the original triangle has vertices A(2, 4), B(5, 6), and C(7, 3). Applying the transformation rule (x, y) → (x - 1, y + 5) to each vertex gives us:
A' = (2 - 1, 4 + 5) = (1, 9)
B' = (5 - 1, 6 + 5) = (4, 11)
C' = (7 - 1, 3 + 5) = (6, 8)
Plotting these three points gives us the image of the triangle after the transformation:
Before transformation:
B (5, 6)
/ \
/ \
A (2, 4) C (7, 3)
After transformation:
B' (4, 11)
/ \
/ \
A' (1, 9) C' (6, 8)
Here's what the image of the transformed triangle would look like on a graph:
|
|
C' | B'
|
---------|--------
|
A' |
|
Dan and Sydney are getting high-speed Internet access at the same time. Dan's provider charges $60 for installation and $42.95 per month. Sydney's provider has free installation and charges $52.75 per month. After how many months will Dan and Sydney have paid the same amount for high-speed Internet service?
Pls someone answer this, it’s due in a couple mins
The number of months till Dan and Sydney would have paid the same amount for the high-speed Internet service is 6.12 months
How to find the number of months?Assuming the number of months is denoted as x, the total cost equation for Dan's provider would be:
= Installation cost + internet charge per month x number of months
= 60 + 42.95x
The total cost equation for Sydney's provider is:
= Installation cost + internet charge per month x number of months
= 0 + 52.75x
= 52.75x
To find the number of months till Dan and Sydney pay the same amount, equate the equations:
60 + 42.95x = 52.75x
52.75x - 42.95x = 60
9.8x = 60
x = 60 / 9.8
x = 6.12 months
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How many triangles are in the figure below?
- 5
- 6
- 7 < answer
- 8
This question isn't possible, so I missed it and checked afterwards. Here's the answer for anyone else who may cross it's path. If possible, I'd love to know why 7 is the answer. I really have no idea.
Answer:
7 is correct.
There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.
Pls help asap
Number 3
Answer:
No
Step-by-step explanation:
The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.
34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.
34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).
which graph represents a by traveling at a constant rate of 12 mph
There is no graph in your question
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 18
Blue 11
Green 8
Yellow 4
Purple 19
The probability that the next spin will land on red or green or purple is 75%
Given , A spinner is divided into five colored sections that are not of equal size
Color Frequency
Red 18
Blue 11
Green 8
Yellow 4
Purple 19
Total spin recorded = 18+11+8+4+19
=60
Let "A" be the event when spinner land on Red , "B" be the event when spinner land on Green and "C" be the event when spinner land on Purple
P(A) = 18/60 = 0.3
P(B) = 8/60 = 0.134
P(C) = 19/60 = 0.32
Probability that the next spin will land on red or green or purple will be P(A∪BC) = P(A) + P(B) + P(C)
P(A∪BC) = 0.3 + 0.134 + 0.32 =0.754
= 0.754 × 100 = 75%
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A bake sale committee wants to raise $162 for a donation to a local charity. They set aside $12 of their profit at the end of each day. How many days will it take them to raise enough money for the whole donation
Answer:
It would take them 13.5 days to raise enough money.
Step-by-step explanation:
In order to find the answer, you just have to take the amount of money they want to raise, which is $162, and divide it by the amount of money they save each day, or $12. In this case that would be dividing 162/12 giving you an answer of 13.5 days.