The slope is 23, from x>=1 , the domain is (1,∞) and the range is {f: A→B; f(x) = 23x}.
Given,
Cost for first day = $39
Cost for each additional day = $23
Let x denote the number if days
Y denote the total cost
(a) As the cost for the first day to rent a zoom $39, so its domain is from (x=0 to x=1)
i.e., (0,1] and Range is $39 --> for the first day
For each additional day, the cost increases by $ 23.
Therefore, slope is 23, from x>=1.
(b) For the first day = $39
Therefore, cost is fixed for the first day its domain is (0,1] and Range is $39
For each additional day, cost increases by $ 23
Therefore, slope after x=1 is 23
Domain = (1,∞)
Ranges = {f: A→B; f(x) = 23x}
Ranges will be set of positive integers of multiple of 23
i.e., {23,46,69…….}
(c) Set of equations to model the relationship.
Hence the equation is,
[tex]\mathrm{y}=\mathrm{f}(\mathrm{x})=\left\{\begin{array}{c}\$ 39,0 \leq x \leq 1 \\39+23 x, x > 1\end{array}\right.[/tex].
Hence, the slope is 23, from x>=1 , the domain is (1,∞) and the range is {f: A→B; f(x) = 23x} can be used to model relationship between the price of renting a car and the number of days you rent it.
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Determine whether AB and XY are
parallel, perpendicular or neither.
A(-3,5) B(-1,3) (-4.-8) Y(4,-6)
The two lines AB and XY are neither parallel nor perpendicular.
According to the question we have been given the respective coordinates which are :
A = (-3,5) , B = (-1,3)
X = (-4,-8) , Y = (4,-6)
We need to find if AB and XY are parallel , perpendicular or neither.
So to find if they are parallel or perpendicular we will first find out the slope of the line. As when the slope are equal then they are parallel and if they are negative reciprocals of each other then they are perpendicular to each other .
Thus, Slope of AB = [tex]m_{1}[/tex] = [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex]
[tex]m_{1}[/tex] = (3-5)/(-1+3)
[tex]m_{1}[/tex] = -2/2
[tex]m_{1}[/tex] = -1
Slope of XY = [tex]m_{2}[/tex] = (-6+8)/(4+4)
= 2/8
= 1/4
As the slope of both lines are not related to each other. Hence, the lines AB and XY are neither parallel nor perpendicular.
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(6x³)²Type your answer using exponential notation. Simplify your answer.)
6x^6
steps
multiply the exponents
In this problem, you will explore changing dimensions in circles.
a. Use a compass to draw three circles in which the scale factor from each circle to the next larger circle is 1: 2 .
A circle is a curve sketched out by a point moving in a plane. The radius of three circles will be 1 unit, 2 units, and 4 units, respectively.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Given that the scale factor from each circle to the next larger circle is 1: 2. Therefore, if it is assumed that the radius of the first circle is 1 unit, then the radius of the second circle will be,
The radius of the first circle/Radius of the second circle = 1/2
The radius of the second circle = 2 × (Radius of the first circle)
The radius of the second circle = 2 × 1 unit
The radius of the second circle = 2 units
Similarly, the ratio for the radius of the second and the third circle can be written as,
The radius of the second circle / Radius of the third circle = 1/2
The radius of the third circle = 2 × (Radius of the second circle)
The radius of the third circle = 2 × 2 units
The radius of the third circle = 4 units
Hence, the radius of three circles will be 1 unit, 2 units, and 4 units, respectively.
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Please help I will make you brainliest if the answer is correct. 5+4 x 2+ 6-2 x 2-1
Answer:
14
Step-by-step explanation:
use order of operations (PEMDAS: Parenthesis, exponents, multiplication, division, addition, subtraction)
5 + 4 * 2 + 6 - 2 *2-1
5+ 8 + 6 -4 -1
13+6-4-1
19-4-1
15-1
14
RS and TU are parallel lines. PQ is a straight line. An angle of size 125 degrees is shown on the diagram. Write down the letter of one other angle of size 125 degrees. Give a reason for your answer.
The letter of another angle that has the size 125° is "b" because it is vertically opposite to 125°
How to identify congruent angles?
From the attached image, we see that;
RS and TU are parallel lines.
PQ is a straight line.
Now, vertically opposite angles are defined as the angles formed which are opposite each other when two lines meet at a point.
Now, from the given image, we can say that another angle of size 125° will be b. This is because b is vertically opposite to the angle 125°
Therefore we conclude that the letter of another angle that has the size 125° is "b" because it is vertically opposite to 125°
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b. Write an equation of the line through (1,1) and perpendicular to the line in part (a).
The equation of the line is x - y = 0.
The slope of the line passing through (13,-1) and (8,4).
m=y2-y1 / x2-x1
= 4-(-1) / 8-13
= 5 / -5
m=-1
The product of slopes is done in the case of perpendicular lines and it is 1.
The slope of another line will be
m.m1=-1
m1=-1/m
m1=-1/-1
m1=1
The equation of the line is
y-y1=m(x-x1)
y-1=1(x-1)
x-y=0.
Thus the equation of the line is x-y=0.
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Although part of your question is missing, the question is What is the equation of the line that passes through (1,1) and is perpendicular to the line that passes through the following points:
(13,-1) and (8,4)
Evaluate each expression for the given value of the variable. 2 z+3+5-3 z ; z=-3
The result of the expression 2z+3+5-3z for the variable z= -3 is 11
Given,
The algebraic expression = 2z+3+5-3z
Rearrange the terms
= 2z-3z+3+5
Combine the like terms
= -z+8
We know, z= -3
Substitute the values in the expression
-z+8= -(-3)+8
=3+8
=11
Hence, the result of the expression 2z+3+5-3z for the variable z= -3 is 11
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natural number less than or equal to 9 but less than or equal to 14.please hurry thank you
The required solution is {1, 2, 3, 4, 5, 6, 7, 8, 9} which represents a natural number less than or equal to 9 but less than or equal to 14.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Here is a set of natural numbers less than or equal to 9:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Here is a set of natural numbers less than or equal to 14:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
According to the condition we have to take common natural numbers
between above both sets.
So we can see that {1, 2, 3, 4, 5, 6, 7, 8, 9} numbers are common natural numbers.
So, the required solution is {1, 2, 3, 4, 5, 6, 7, 8, 9}.
Thus, the required solution is {1, 2, 3, 4, 5, 6, 7, 8, 9} which represents a natural number less than or equal to 9 but less than or equal to 14.
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Much a
5. The box plot represents the distribution of the
number of points scored by a cross country team
at 12 meets. (Lesson 1-2)
22 24 26-28 30 32 34 36 38 40-42-
Points
a. If possible, find the mean. If not possible, explain why not.
b. If possible, find the median. If not possible, explain why not.
34
c. Did the cross country team ever score 30 points at a meet?
a. Frequency is not displayed on a box plot, so it is impossible to find the mean.
b. The median = 34.
c. It is difficult to determine by looking at the box plot.
How to Determine the Median of a data Distribution From a Box Plot?A box plot is a graphical display of the five-number summary of a data which includes the upper and lower quartiles, the maximum and minimum data points, and the median which is at the point where the vertical line divides the box.
In a box plot, the measure of center that can easily be determined is the median value, which lies between the upper and lower quartiles. The box plot doesn't show the frequency of each data point which makes it difficult to calculate the mean of the data.
a. It is impossible to find the mean using a box plot as frequency for each data is not displayed.
b. The median = 34.
c. It is difficult to tell if the cross country team scored exactly 30 points at a meet by mere looking at the box plot.
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Regina's bird feeder holds 2 2/3 cups Regina is filling the bird feeder with a scoop that holds 1/3 of a cup how many scoops of birdseed will regina put into the feeder(help please)
What is the slope of the line that passes through the points (1, -1) and (-8, -7)?
Write your answer in simplest form.
[tex] \boxed{ \sf{ \bold{\purple{m} = \dfrac{2}{3}}}}[/tex]
[tex] \\ [/tex]
Explanation:If a line passes through two points, then its slope can be calculated with the following formula:
[tex] \sf{\purple{m} = \dfrac{\blue{y_2}- \green{y_1}}{\red{x_2}- \orange{x_1}}} [/tex]
[tex] \\ [/tex]
Where:
[tex]\sf{\implies \purple{m} \: is \: the \: slope \: of \: the \: line.} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf{\implies (\orange{x_1} \: , \: \green{y_1}) \: are \: the \: coordinates \: of \: the \: first \: point.} \: \: \: \: \: \: \\ \sf{\implies (\red{x_2} \: , \: \blue{y_2}) \: are \: the \: coordinates \: of \: the \: second \:point.}[/tex]
[tex] \\ [/tex]
Plugging in our values, we get:
[tex] \sf{\purple{m} = \dfrac{\blue{ - 7}- \green{( - 1)}}{\red{ - 8}- \orange{1}}} = \dfrac{ - 7 + 1}{ - 9} = \dfrac{ - 6}{ - 9} [/tex]
[tex] \\ [/tex]
Now, let's simplify our result:
[tex] \sf{ \purple{m} = \dfrac{ - 6}{ - 9} = \dfrac{ \blue{ - 3 \times}2}{ \blue{ - 3 \times }3} = \boxed{ \dfrac{2}{3}}}[/tex]
[tex] \\ \\ [/tex]
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I'm giving out points. So answer if you want points, answer.
Step-by-step explanation:
無料ポイントを与えないように質問することになっています
What are the points of discontinuity of y = x(2 x-1)(x+1) / (x+5)(x+1) ?
The points of discontinuity of the given function can be determined by finding out the common factor in the numerator and denominator, equating and solving it for zero, and finding the corresponding value of f(x).
Point of discontinuity exists when the function does not exist in its domain. Also called holes, it is a value where the function is undefined (zero denominator). The point of discontinuity exists when the numerator and denominator have a common factor(s).
In order to determine the coordinates of point of discontinuity, simplify the function by canceling out the common factor. Hence, canceling out the (x+1)
y = x(2x-1)(x+1)/(x+5)(x+1)=x(2x-1)/(x+5)
Determine the non-permissible value of x by equating the canceled-out factor to zero.
x+1=0
x=-1
Substitute the value of x in the simplified function to find corresponding value of y:
y =x(2x-1)/(x+5) =-1(2(-1)-1)/(-1+5)
=-1(-2-1)/(4)
=-1(-3)/4
=3/4
The point of discontinuity of the function y = x(2x-1)(x+1)/(x+5)(x+1) is (-1,3/4).
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In health class, Jason is learning about making healthy food choices. For a lesson on digestive health, his teacher asks everyone to track how much fiber they eat daily. At breakfast, Jason has a banana. He also has raisin bran cereal, which contains 3.6 grams of fiber. In all, Jason eats 6.9 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
The amount of fiber in the banana will be 3.3 fibers.
How to calculate the value?From the information, Jason has a banana. He also has raisin bran cereal, which contains 3.6 grams of fiber and Jason eats 6.9 grams of fiber at breakfast.
Therefore, the equation to find the amount of fiber in the banana will be:
b = 6.9 - 3.6
b = 3.3
Therefore, the amount of fiber in the banana will be 3.3 fibers.
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If you had 28/5 how much would that be in dollars and cents
Answer: The answer would be $5.60
Step-by-step explanation: I divide 28 by 5 and got 5.6 and in money that would be 5 dollars and 60 cents.
Hope this helps :D
Which property is a chemical property of a substance?
flammability
color
boiling point
density
Answer:
Flammability
Step-by-step explanation:
Color
boil
and density are physical
cause yes
1. Name two angles that form a linear pair
2. Give another name for
3. Name three collinear points
4. Name two opposite rays
5. Name a pair of vertical angles
the linear pair is formed by the angles ∠ APC and ∠ CPR, the another name can be intersecting lines, the three collinear points are A, R and Q, the opposite rays are CP and PD and a pair of vertical angles are ∠ ACP and ∠ DPR.
We are given a ray diagram.
The two angles that form a linear pair are:
∠ APC and ∠ CPR
The another name for this can be the intersecting lines.
The three collinear points will the ones that are forming a straight line.
So, they will be = A, R and Q or R, Q and B
The two opposite rays will be:
CP and PD
AP and PR
A pair of vertical angles can be:
∠ ACP and ∠ DPR
Therefore, we get that, the linear pair is formed by the angles ∠ APC and ∠ CPR, the another name can be intersecting lines, the three collinear points are A, R and Q, the opposite rays are CP and PD and a pair of vertical angles are ∠ ACP and ∠ DPR.
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In this problem, you will investigate the location of the points of concurrency for any equilateral triangle.
b. Verbal Make a conjecture about the relationships among the four points of concurrency of any equilateral triangle.
In an equilateral triangle, all the four points (circumcenter, incenter, orthocenter, and centroid) coincide.
What are the four points of concurrency for a triangle?The incenter is important for angle bisectors; the orthocenter is important for perpendicular bisectors; the circumcenter is important for altitudes; and the centroid is important for medians.
All four points (circumcenter, incenter, orthocenter, and centroid) of an equilateral triangle coincide.
The circumcenter is the point at which the perpendicular bisectors of all three sides of a triangle intersect. The circumcenter of an obtuse-angled triangle is located outside the triangle.
All four points of convergence can be concurrent. Only an equilateral triangle has the same centroid, circumcenter, incenter, and orthocenter at all times.
The 'orthocenter' is the point at which the altitudes of a triangle coincide. The orthocenter of a triangle is the point at which the triangle's three altitudes intersect.
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pls help with homework
Step-by-step explanation:
Question no:
9) option B
10) option D
11) option A
12) option D
2+2=? I need an answer, please
Answer:
2+2=4 very simple is the answer
Answer: 4
Step-by-step explanation:
2+2=?
2+2=4
?=4
2 9 14 36 40 here are some numbers which number is a mutiple of 12 which number is a prime number which number is a factor of 64
Answer:
Answer: 36 is a multiple of 12.2 is a prime number. 2 is a factor of 64
Step-by-step explanation:
12 × 3 =36, so 12 is one of the factors. 2 is the only even prime number. All other even numbers are multiples of 2. So 9 is not a prime number. 3 × 3 = 9. So 2 is a factor of 64. 2 × 32 = 64 None of the other numbers given can divide evenly into 64, so they are not factors of 64.
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 9 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
In linear equation, 15 marks points did Ned receive or lose overall .
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.5 questions wrong that were each worth 5 points (-5x5=-25)
So he lost 25 points but he got 10 extra from the bonus question, so -25 + 10= -15.
He lost 15 marks overall
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12
Work out an estimate for the value
Answer:
2068.140426
Step-by-step explanation:
50.6×19.21=972.026
972.026÷0.47=2068.140426≈2068
Rosie ate 2 1/2 bananas on Saturday. On Sunday she ate 1/2 as many bananas as she ate on Saturday. How many bananas dod Rosie eat over the weekend?
Answer:
0.5
Step-by-step explanation:
because 1/2=0.5 jgxuydiyxiyxit ugxutx itxutx itxugx
question is in the picture
Sofia wants to put a flower bed in the corner of her yard by laying a stone border that starts 3 feet from the corner of one fence and ends 6 feet from the corner of the other fence. Find the angles, x and y , the fence make with the border.
The measure of angle x = 63.4° and angle y = 26.6°
In this question,
Sofia wants to put a flower bed in the corner of her yard by laying a stone border that starts 3 feet from the corner of one fence and ends 6 feet from the corner of the other fence.
We need to find the angles, x and y , the fence make with the border.
Consider the following figure.
First we find the angle x.
Consider the tangent of angle x.
tan(x) = 6/3
tan(x) = 2
x = arctan(2)
x = 63.4°
Now we find the measure of angle CAD that is we find the value of y.
In right triangle ACD,
x + y = 90°
63.4° + y = 90°
y = 26.6°
Therefore, the fence make with the border, having angle x = 63.4° and angle y = 26.6°
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A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 11 + 6.2n and 8 + 6.4n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
The larger box of cereal has as much cereal as ___ smaller boxes.
Answer:
20 students in hostel have provision for 60 days if 10 more student are admitted to the hostel for how many days would the provision be enough
Determine whether the statement is always, sometimes, or never true. Explain you reasoning.
If planes A and B intersect, then their intersection is a line.
A line segment is also a line but a line with finite length and fixed endpoints. The given statement "If planes A and B intersect, then their intersection is a line." is true.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The given statement "If planes A and B intersect, then their intersection is a line." is true. This is because when two planes intersect they form an infinitely long line, it can be seen in the image below.
Hence, The given statement "If planes A and B intersect, then their intersection is a line." is true.
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I just need help with this problem and more!! 3. What is the perimeter of the figure shown below, which is not drawn to the scale?
Answer:
8x+12
Step-by-step explanation:
To find the Perimeter, we need to add all 4 sides together. In this case, we would do:
x+4+x+4+3x+2+3x+2
Now, we have to combine like terms.
x+x+3x+3x=8x.
4+4+2+2=12
The final answer would be 8x+12 or 12 +8x.
You can put whichever answer you want because it doesn't matter.
Hope this helps!
:D
PLS HELP, I'll mark brainliest and it's 20 points.
The Pirouette Dance Team needs more than $300 to cover costume expenses. They have $75 and plan to sell raffle tickets for $5 each in order to raise money.
Which inequality represents the situation where r is the number of raffle tickets the team needs to sell?
5r+75≤300
5r+75≥300
5r+75>300
5r+75<300
Answer:
5r + 75 > 300
Hope this helps :)
They need more than $300, so the inequality sign is >. They already have 75 so we will add that to the total amount of raffle tickets sold afterwards. Lastly, the raffle tickets are $5 each, so r will be the number of tickets sold.