Answers
The equation of the line that has a slope of 7 and passes through the point (4, -2) is: y = 7x - 30.
How to Write the Equation of a Line that Passes Across a Point?If we are given a point on a line (x, y), and we know the slope (m) of the line, we can expressed the equation of the line in slope-intercept form as y = mx + b.
Given the following:
Slope of the line, m = 7
A point on the line = (4, -2).
Find the value of b by substituting x = 4, y = -2, and m = 7 into y = mx + b:
-2 = 7(4) + b
-2 = 28 + b
-2 - 28 = 28 + b - 28 [subtraction property of equality]
-30 = b
b = -30
To write the equation of the line, substitute m = 7 and b = -30 into y = mx + b:
y = 7x + (-30)
y = 7x - 30
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Related Questions
Determine the value of k that would complete the equation.
x y
2 -12
3 -8
6 -4
Answers
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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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)
Answers
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?
Answers
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
Please help me answer
Answers
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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the coefficient correlation for rent and square footage is computed to be 0.84, this means the relationship between the two variables are blank
Answers
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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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.
Answers
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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Help me Im having trouble anyone help me
Answers
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
Answers
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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geometry is this correct guys?
Answers
Answer: bigger angle=64 smaller angle=26
Step-by-step explanation:
1. set up an equation
because the bigger angle is 14 less than 3 times the measurement of the smaller angle we can call the smaller angle x and the bigger angle 3x-14 knowing complementary angles are 90 degrees you can set up the following:x+3x-14=90
3.solve the equation
x+3x-14=90
4x-14=90 | combine like terms
4x=104 | add 14 on both sides
x=26 | divide by 4 on both sides
4. plug x in to your angle measures
1(26)=26
3(26)-14
78-14
64
Find the total cost of a $40 meal with a 10% tip. Round to the nearest cent when necessary
Answers
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 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.)
Answers
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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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
Answers
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
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.
Answers
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 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.
Answers
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?
10^-3 x 10^6
give answer in powers (for example, 10^-9 or 10^18)
Answers
= 10^-3+6 because when multiplying indicies you add the powers
=10^3
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
Answers
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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Can someone help please??
Answers
I need help on this asap due Tuesday pls help
Answers
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
"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
Answers
Answer:
Step-by-step explanation:
For the four-digit number: 3040, what
must the value of the be so that
this four-digit number is divisible by
5?
Answers
The value which the four digit number is divisible by 5 is 608
What is Divisibility?
By looking at the digits of an integer, a divisibility rule can be used to quickly and conveniently determine if it can be divided by a specific number.
The given four-digit number is divisible by 5:
3040
To find the value from which the four digit number is divisible by 5
3040 ÷ 5
= 3040/5
= 608
Hence, The value of the be so that this four-digit number is divisible by 5 is 608
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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
Answers
Answer:
I think its 5.00 N
Step-by-step explanation:
Esimate the value of 13 squared, between which two whole numbers
Answers
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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Several years ago, Melissa bought some gold at a price of $1,430 per ounce. When she
went to sell it, the gold was worth 30% more than it was when she purchased it. What
was the new value of the gold?
Answers
The new value of gold was $1859 per ounce.
How to calculate profit amount?
Finding profit is simple using this formula: Total Revenue - Total Expenses = Profit.
Price in which Melissa bought gold per ounce = $1,430
Given that, Melissa sell it when the gold price is 30% more than when she purchased it.
Price in which Melissa sell gold per ounce = $ 1,430 + 1,430×30%
= $ 1,430 + 1,430×[tex]\frac{30}{100}[/tex]
= $ 1,430 + 429
= $ 1,859
Hence, the new value of gold was $1859 per ounce.
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Please help I really need it! It’s number 18!
Answers
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.
Which of the following is a polynomial?
(a) 2−6√+2 (b) 52−3+1
(c)√+1√ (d) None of these
Answers
The true statement about the expressions is (d) None of these
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the polynomial expression?From the list of options, the given parameters are
(a) 2 − √6 + 2 (b) 52 − 3 + 1 (c)√1
For an expression to be a polynomial, the expression must have variables, coefficients and operators
None of the given expressions have variables, coefficients and operators.
This means that the expressions are not polynomial
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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.
Answers
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
find elapsed time 7:30am to 3:00 pm
Answers
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 minutesGraph each equation after plotting at least three points for each one
1) y=-x+10
2) y=-1/2x+4
Answers
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).
Answers
Answer:
Step-by-step explanation:
whoops, does anyone know how to delete an answer?
0.4% as a decimal
ITS DUE AT MIDNIGHT
Answers
Answer: 0.004
Step-by-step explanation: