The graph intersects the x-axis at ( 1/2 , 0) .
A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.
The origin of each reference coordinate line, known as an x-axis or y-axis of the system or simply an axis (plural axes), is the intersection of the ordered pairs (0, 0).The coordinates can also be determined by looking at the locations of the perpendicular projections of the point onto the x- axis and y -axis, which are shown as signed distances from the origin.We know that at the x-axis the value of y is 0 .
Now substituting the value of y in the equation of the graph we get :
y = - 2x + 1
at y = 0 ,
0 = -2x + 1
or, -1 = -2 x
or, x = 1 / 2
Hence the co-ordinate of the point where the graph passes through x-axis is ( 1/2 , 0 ) .
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I need help on this asap due Tuesday pls help
a) To calculate the overall mean, you must take the total wages divided by the total number of workers. What Stacy is doing is calculating the average of the means, which is incorrect as both the total wages and the quantity of workers are both different (or she's just using the wrong method of calculation)
b) First, we find the total wages of the 56 workers : 42 x 9.5 + 14 x 13.5 = 588 (pounds)
So, the overall mean is : 588 : 56 = 10.5 (pounds/h)
Answer:
£ 10.50
Step-by-step explanation:
Mean:a) Stacy is wrong because she found the mean of the £9.50 and £13.50. She has to find the mean of wage of 42 packers and wage of 14 truck drivers.
[tex]\sf b) Overall \ mean \ wage = \dfrac{sum \ of \ wages \ of \ 42 \ packers+ Sum \ of \ wages \ of \ 14 \ truckers}{number \ of \ packers + numbers \ of \ truck \ drivers}[/tex]
Sum of wages of 42 packers = 42 * 9.50
= £ 399
Sum of wages of 14 truck drivers = 14 * 13.50
= £ 189
[tex]\sf Overall \ mean \ wage = \dfrac{399+189}{42+14}\\\\[/tex]
[tex]\sf = \dfrac{588}{56}\\\\[/tex]
= £ 10.50
11
Mr Sykes wants to buy a calculator for every student in year 11.
There are 104) students in year(11.)
Each calculator costs £6.05
(a) Work out an estimate for the amount of money Mr Sykes will spend on calculators.
1= £6.05
The amount of money Mr.Sykes will spend on calculators is £629.2.
Given:
Total Number of students in year 11 = 104
Cost of each calculator = £6.05
Now to calculate the total cost of all the calculators we have to multiply the number of students by the cost of one calculator.
Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator
= 104 × 6.05
= £629.2
Hence, the total amount of money Mr.Sykes will spend on calculators is £629.2.
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Hefty bird grocery store sells a case pf 15 cans of chili for $75.00. bulky grocery sells 8 cans of the same brand of chili for $32. give the unit rate for a can of chili from each store
The unit rate of the can in Hefty bird grocery store is 3
The unit rate of the can in bulky grocery is 4
How to calculate the unit rate of the can in each stores ?The unit rate at Hefty bird grocery store can be calculated as follows
15= 75
1= x
cross multiply both sides
15x= 75
x= 75/15
x= 3
The unit rate at bulky grocery can be calculated as follows
8= 32
1= y
cross multiply both sides
8y= 32
y= 32/8
y= 4
Hence the unit rates are 3 and 4 respectively.
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"I NEED HELP PLS" The following figure is made of 1 triangle and 2 rectangles.
Find the area of each part of the figure and the whole figure.
Figure Area (square units)
Rectangle A
Triangle B
Rectangle C
Whole figure
Answer:
Step-by-step explanation:
Help me Im having trouble anyone help me
Answer:
y=x+4
Step-by-step explanation:
The slope of the line is [tex]\frac{3-4}{-1-0}=1[/tex].
Since the y-intercept is 4, the equation is y=x+4.
A family arrives at walt disney world parking lot. to get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a tram for 1/3 their total distance and take a monorail for 1/2of their total distance how far is it from their car to the gate to magic kingdom
The distance from the car to the gate to magic kingdom is 1 1/12 miles.
How to calculate the distance?From the information given, it was stated that get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a tram for 1/3 their total distance and take a monorail for 1/2.
Therefore, the distance from the car to the gate to magic kingdom based on the information will be the addition of the fractions given. This will be:
= 1/3 + 1/2 + 1/4
= 4/12 + 6/12 + 3/12
= 13/12
= 1 1/12
The distance is 1 1/12 miles.
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If two charged objects have a 125 N force between them when they are 3.00 m apart, what force exists between them when they are 15.0 m apart? help
Answer:
I think its 5.00 N
Step-by-step explanation:
Determine the value of k that would complete the equation.
x y
2 -12
3 -8
6 -4
The value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true.
The solution is given below:
72 + k = 54, subtracting 72 from both sides
k = 54 - 72
k = -18
Therefore the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
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Write 4.1012 in words. A four and ten twelve ten thousandths B four and one thousand twelve ten thousandths C four and one thousandths twelve ten thousandths D four point one zero one two
Writing 4.1012 in words will be represented as D. four point one zero one two.
How to illustrate the information?It should be noted that writing in words simply means spelling or calling out of the numbers that are given.
Based on the information, it should be noted that (.) is illustrated as a point when calling out the decimal numbers. Other values include:
4 = four
1 = one
0 = zero
2 = two
Therefore, based on the illustration, the correct option is D.
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Answer:
B
Step-by-step explanation:
he's wrong
Calculate the slope of:
(8,7) (2,7)?
1. AGES Mel is 3 years older than Rahfat
and Aurelio is twice as old as Mel. The
sum of their ages is 57. How old
is Mel?
Answer:
15
Step-by-step explanation:
Mel's Age = x
Rahfat's Age = x-3
Aurelio's Age = 2x
2x + x +x -3 = 57
4x -3 = 57
4x = 60
x = 15
Find the total cost of a $40 meal with a 10% tip. Round to the nearest cent when necessary
We know that the cost of the meal is $40 and the tip is the 10%.
And we must find the total cost.
The total cost will be we cost of the meal plus the tip.
Now, we must find the cost of the tip.
Since the tip is the 10% we must multiply the cost of the meal by 10%. (We can represent 10% as 0.1)
[tex]\text{tip}=\text{ \$40}\cdot0.1=\text{ \$4}[/tex]Then, the total cost is
[tex]\begin{gathered} \text{ Total cost=cost of the meal + tip} \\ \text{ Total cost= \$40+ \$4 = \$44} \end{gathered}[/tex]Finally, the total cost of the meal is $44.
A park's square garden area is 225 square yards. What is
the length of ONE SIDE of the garden?
find elapsed time 7:30am to 3:00 pm
Answer:
7 hours 30 minutes and 0 Seconds
Step-by-step explanation:
60 minutes in 1 hour7:30 - 3:0060 * 10 = 600 SecondsPlus the 30 minutes which converts to 20 secondsChange that into hours and minutes
PLEASE SOMEONE NEED TO ANSWER. IM GONNA FAILED MY CLASS IN GEOMETRY
In Exercises 3 and 4, plot the points in a coordinate plane. Then determine whether
AB and CD are congruent.
3. A(-7, 1), B(-4, 1), C(3, -5), D(3, -2)
4. A(1, -1), B(1, 1), C(3, -4), D(5,-4)
The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need two points. Choose two points on the line.
The slope of the line shown in this graph is equal to 3/5 or 0.6
What is a pitch?A pitch is also referred to as slope and it can be defined as the ratio of the vertical distance (rise) measured to the horizontal distance (run) measured.
How to determine the pitch (slope) of a roof?Mathematically, the pitch (slope) of a geometric figure or line can be calculated by using this formula:
Pitch (slope) = V/H
Where:
V represents the rising vertical distance of an object.H represents the horizontal distance an object runs through.Based on the given graph, we would select the following points:
Rise = 6, 0
Run = 10, 0
Substituting the selected points into the formula, we have;
Pitch (slope) = (6 - 0)/(10 - 0)
Pitch (slope) = 6/10
Pitch (slope) = 3/5 or 0.6
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Complete Question:
The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Answer: Part A
Answers will vary. The sample answers throughout this Lesson Activity assume the points chosen are (0, 0) and (5, 3).
Part B (Answer)
Between the points (0, 0) and (5, 3), there is a rise of 3 units and a run of 5 units.
Part C ( Answer)
Between the points (0, 0) and (5, 3), the rise is 3 and the run is 5. The slope is the ratio of rise to run. Therefore, the slope of the line is 3/5.
Step-by-step explanation:
Questions
Part A - To calculate slope, you need two points. Choose two points on the line.
Part B - To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Part C
Using the rise and run from part B, what is the slope of the line?
Please help me answer
Using transformations, it is found that:
25. The function underwent a reflection over the y-axis.
26. The function undergoes a vertical compression by a factor of 1/2.
27. the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:
Shift one unit right.Shift two units up.Vertical stretch by a factor of 2.Reflection over the x-axis.The graph of g(x) is given at the end of the answer.
What are transformations on the graph of a function?The transformations used are given as follows:
Translation: Translation left/right or down/up, with rules such as x -> x + a or y -> y + a, with the signal of a determining it is left or right, or up/down.Stretching/compression: Function is multiplied by a value.Reflections: Over the x-axis or over the x-axis.Item 25The function for g(x) is given by:
g(x) = f(-x).
This rule is for a reflection over the y-axis.
Item 26The function for g(x) is given by:
g(x) = 0.5f(x).
The multiplication by a number less than 1 means that it underwent a vertical compression, with the coefficient representing the scale factor.
Item 27For this problem, the parent function is:
f(x) = |x|.
The transformed function is:
g(x) = -2|x - 1| + 2.
The changes are given as follows:
x -> x - 1, meaning that the function was shifted one unit right.y -> y + 2, hence the function was shifted two units up.Multiplication by 2, hence the function was vertically stretched by a factor of 2.Multiplication by -1, hence the function was reflected over the x-axis.More can be learned about transformations at https://brainly.com/question/28174785
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A bird flies from the bottom of a canyon that is 59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
The difference between the elevation of the canyon and the bird's nest is ___ feet. (Simplify your answer. Type an integer, proper fraction, or mixed number.)
The difference in elevation between the bottom of the canyon and the birds nest is 679.8 feet.
What is a numerical expression ?
A numerical expression is an statement written in form of numbers with mathematical operations.
According to the given question
A bird flies from the bottom of a canyon that is59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level.
59 1/5 feet
(59×5 + 1)/5
59.2 feet
Let assume that the sea level is at 0 feet.
= (620×5 + 3)/5
= 620.6 feet.
From the given data we write an expression which is the difference in elevation between the bottom of the canyon and the bird nest is
( 620.6 ) - ( -59.2 ) feet
= 620.6 + 59.2 feet
= 679.8 feet.
Hence, The elevation difference between the birds' nest and the canyon's base is 679.8 feet.
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What type of number gets a mathematician in trouble the most when trying to use
a function to model' a real world situation? Why?
Your answer
The type of number that gets a mathematician in trouble the most when trying to use a function to model a real-world situation are irrational numbers and zero.
What type of number gets a mathematician in trouble and why?Possibly a negative relationship. When x gets close to 0, which happens rather frequently, the problem starts to become a problem.y = k/x, where k is a fixed number, say 10.
The most difficult number, in my opinion, is zero. The notion of 0 was formed roughly 1100 years after the death of Christ. The value "0" had no meaning to the Romans. For them, there was nothing resembling a zero in the year 2019. They would write it as (MMXIX). When giving parts of an inch in their engineering drawings, that must be very awkward.The irrational would be the second group that probably poses some difficulties. sqrt(3) for one, pi for another. That took time to come into being as well.To learn more about numbers visit:
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Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and Richard 1 hour. Express the times Natasha and Richard take as a ratio.
Give your answer in its simplest form.
Answer:
3:4
Step-by-step explanation:
for every set that Natasha and Richard do and since 1 hour is 60 minutes the ratio is 45:60 and then you divide both sides by 15 to get 3:4
Please help I really need it! It’s number 18!
Answer:
a. 245 m
b. 40 m
c. The g-value of Mars is smaller than that of Earth.
Step-by-step explanation:
From the question, the distance the object has fallen due to gravity is given by
[tex]\boxed{d = gt^{2} }[/tex]
Earth
Given that g= 9.8 m/s²,
d= 9.8t²
(a) When t= 5,
d
= 9.8(5²)
= 9.8(25)
= 245 m
Moon
Given that g= 1.6 m/s²,
d= 1.6t²
(b) When t= 5,
d
= 1.6(5²)
= 40 m
Mars
(c) Relationship: smaller g, smaller d
Given the same value of t, which is 5 seconds, we are given that the distance (d) is 46.25 m.
This distance is smaller that than when dropped near the surface of the earth, but larger than that when dropped near the surface of the moon.
In summary,
d of Mars (45.25 m) <d of Earth (245 m)Thus g of Mars <g of EarthThus, we can conclude that the g-value on Mars is smaller than that of the Earth.
Graph each equation after plotting at least three points for each one
1) y=-x+10
2) y=-1/2x+4
Answer:
[(2, 8),(3, 7),(4, 6)]
Graph the equation like normal.
Use the procedures explained below to answer the next question.
Step-by-step explanation:
To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.
[tex]f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)[/tex]
All I did was substitute three different values of x, to get the corresponding values for y.
So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.
As shown in the attached screenshot, the three points that we found are correctly on the graphed line.
Use the same procedures to answer the next question.
A. All real numbers are in the range of this function.
B. The domain for this function is all real numbers.
C. The domain for this function is the set (-5).
D. This graph is not a function because the value of y is the same for
every value of x.
E. The range for this function is the set {-5).
Answer:
Step-by-step explanation:
whoops, does anyone know how to delete an answer?
The sum of an integer and 4 times the next consecutive integer is -46. Find the value of the greater integer.
The value of the greatest integer is -9.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the sum of an integer and 4 times the next consecutive integer is -46.
Assume that the integer is x. Then, its consecutive integer will be (x + 1).
Then we can write -
x + 4(x + 1) = - 46
x + 4x + 4 = - 46
5x + 4 = - 46
5x = - 50
x = - 10
Then -
x + 1 = - 9, which is also greater than -10
Therefore, the value of the greatest integer is -9.
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10^-3 x 10^6
give answer in powers (for example, 10^-9 or 10^18)
Esimate the value of 13 squared, between which two whole numbers
The value of value of 13 squared is 169 and this is between 168 and 170.
How to illustrate the information?It should be noted that a square of a particular number simply means the multiplication of the number by itself.
Based on the information, the value of 13 squared will be:
= 13 × 13
= 169
It should be noted 169 will be between 168 and 170.
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Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.
The linear function modelling the daily inventory in t days after August 31 is given by:
I(t) = 110 - 22t.
Using the given function, they must restock the store on September 3.
What is a linear function in slope-intercept format?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, we have that:
The intercept is of b = 110, as on the reference day, which is of August 31, they have 110 Intelliphones.The slope is of m = -22, as on each day they sell 22 phones, meaning that the amount decays by 22.Thus the model is given as follows:
I(t) = 110 - 22t.
They must have at least 25 phones in stock at all times, hence:
I(t) >= 25
110 - 22t >= 25
22t <= 85
t <= 85/22
t <= 3.86.
Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.
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a phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost C can be represented by this equation:C=12+am, where A is the additional charge per minute and M is the number of minutes used what does M equal in an equation.
m in the linear equation that represents the scenario is expressed as: m = (C - 12)/a.
How to Interpret a Linear Equation?A linear equation, in slope-intercept form y = mx + b or y = b + mx, can be used to model a scenario where:
m = slope or unit rate or average rate b = the starting value or initial value or y-intercept.In the scenario described above, given that C = 12 + am represents the equation of the monthly pone cost, we have the following:
Monthly phone cost (y) = C
Additional charge per minute (m) = a
Number of minutes (x) = m
Base fee (b) = 12
Thus, to find what m equal in the equation, make m the subject fo the formula:
C = 12 + am
C - 12 = 12 + am - 12
C - 12 = am
(C - 12)/a = m
m = (C - 12)/a
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the coefficient correlation for rent and square footage is computed to be 0.84, this means the relationship between the two variables are blank
Based on the correlation coefficient between rent and square footage of 0.84, the relationship between the two variables is Strong and Positive.
How to describe the correlation coefficient?The Correlation Coefficient can be negative, positive, or 0. When it is 0, then no relationship exists between the variables. A negative coefficient means that the relationship is negative.
A positive correlation means that the relationship is positive which means the variables increase (decrease) together. A correlation coefficient above 0.8 indicates that the correlation is strong.
In this case, it means that the correlation of 0.84 between rent and square footage is strong and positive.
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Can someone help please??