The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the line.
Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:
y - (-1) = (-1/2)(x - 4)
Combining like terms and multiplying through the parentheses, we get:
y + 1 = -1/2x + 2
Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
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3)In the figure below
segments PM and AD are medians.
What is the length of segment AD?
A. 22.5
B. 10
C. 9
D. 7
Answer:
i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5
Mr frohock bought a watermelon that weighed 10. 25 pound. If ahe cut it inyo 5 piece of equal weight, jow many pound did each piece weigh?
In linear equation, 2.05 pound did each piece weight .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Describe a linear example?
Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 represents a straight line on a coordinate plane, indicating that it is a linear function.
This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).
Mr frohock bought a watermelon that weighed 10. 25 pound..
10.25/5
= 2.05.
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please help ill give alot of points
Answer:
Paulina is reading a book with 677pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she nees to read at that pace until she finishes the entire book?
Step-by-step explanation:
[tex]345 + 23x = 677[/tex]
23x=677-345
x=677-345/23
x=332/23
x= 14.43 days
The factor tree for 3,025 is shown.
A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right.
What is the simplest form of StartRoot 3,025 EndRoot?
Therefore, In order to complete this activity, we must have understanding of divisibility, which leads us to discover that:
3025 is [tex]5^{2} (11)^{2}[/tex]
What is factor tree ?A number's factors, and more specifically its prime factorization, can be expressed as factor trees. There are factors for each branch of the tree. The branch comes to an end and the number is circled once the factor at the branch's end is a prime number, leaving only itself and one as potential factors.
Here,
Since divisibility is the capacity of a number to lose value, we determine that:
=> 3025/5 =605
=> 605/5=121
=> 121/11=11
=> 11/11=1
=[tex]5^{2} (11)^{2}[/tex]
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The nth term of a sequence
The first three terms of the given sequence are 1, -3, and -7 respectively.
What are sequence and series?
An arrangement of numbers in a specific order is referred to as a sequence. The total of a sequence's components, on the other hand, is known as a series.
Given, the [tex]n^{th}[/tex] term of a sequence is: [tex]u_{n}[/tex] = 5 - 4n
We need to find the first three terms, then n= 1, 2, 3 respectively
So, first term, n = 1, [tex]u_{1}[/tex] = 5 - 4*1 = 5 - 4 = 1
second term, n = 2, [tex]u_{2}[/tex] = 5 - 4*2 = 5 - 8 = -3
third term, n = 3, [tex]u_{3}[/tex] = 5 - 4*3 = 5 - 12 = -7
Hence, the first three terms of the sequence are 1, -3, and -7 respectively.
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(a) Work out 3.67 x 4.2
Answer:
15.414
Step-by-step explanation:
3.67
x 4.20 ← the zero is your 'holding' spot so to speak
000 ← 0 x 7, 0 x 6, 0 x 3
.7340 ← 2 x 7, 2 x 6 + 1, 2 x 3 + 1
14.6800 ← 4 x 7, 4 x 6 + 2, 4 x 3 + 2
15.414
for an experiment involving 2 levels of factor a and 3 levels of factor b with a sample of 5 in each treatment condition, what is the value for dfwithin?
The value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is between 3.
Explain the term levels of factor?In a two-way ANOVA, the 2 separate variables are known as factors. Two variables, or factors, are supposed to influence the dependent variable. There will be two or even more levels inside each factor, and there are one less degrees of freedom per factor than there are levels.Let n1 represent factor A's level of freedom.
Let n2 represent factor B's degree of freedom.
If factor A has five levels, then n1 = 2.
If Factor B has seven levels, then n2 = 3.
The formula is used to express how the degrees of freedom interact;
df = (n1 - 1)+(n2 - 1) (n2 - 1)
df = n1 -1 + n2- 1
df = n1 + n2 -2
Replace n1 and n2 to obtain df;
df = 2 + 3 - 2
df = 3
Thus, the value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is 3.
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The perimeter of a regular octagon with side s is 8s. James is making a planter shaped like an octagon to surround the base of his favorite oak tree. Each side of the planter will be 9 inches long.
What is the perimeter of the planter?
The perimeter of the planter 36s
How can determine the perimeter?The perimeter of a regular octagon with side s is 8s.Each side of the planter will be 9 inches long.
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter.
The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter.
The perimeter of a regular octagon with side s is 8s.
Each side of the planter will be 9 inches long.
so
9*4 =36
The perimeter of the planter is 36s.
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Pls help! I found a linear function, but I don't understand, what should I do with a and b
The cost of each desk is $42.
The initial cost to make these new school desks is $635.
What is a solution of linear function?
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Assume that the cost of each desk be m.
The initial cost to make these new school desks be c.
Then the total cost will represent by the equation:
y = mx + c .....(i)
Putting x =21 and y = 1517 in the equation (i)
1517 = 21m + c ...(ii)
Putting x = 47 and y = 2609 in the equation (i)
2609 = 47m + c ...(iii)
Subtract equation (ii) from (iii)
47m + c =2609
21m + c = 1517
(-) (-) (-)
___________
26m = 1092
Divide both sides by 26
m = 42
Putting m = 42 in equation (ii)
1517 = 21 × 42 + c
1517 = 882 + c
c = 1517 - 882
c = 635
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Manas is half his sister's age.
She is eight years younger than
Uncle Mike. Mike is the sum of a
dozen and a score.
In how many years time will the sum of Manas' age and his
sister's age be 48 years?
Answer: In 6 years the sum of Manas' age and his sister's age will be 48 years.
Step-by-step explanation:
We know that value of a dozen is 12 and the score is 20.
Hence,
Uncle Mike's age = 12+20 = 32 years
Since Manas' sister is 8 years younger than Mike,
Her age = 32 - 8 = 24 years
We know that Manas is half her age. Therefore,
Manas' age = 24 ÷ 2 = 12 years
After x years the sum of Manas' age and his sister's age will be 48 years.
Manas' future age = (12 + x) years
His sister's future age = (24 + x) years
The Sum of their ages is 48 years. Hence,
(24 + x) + (12 + x) = 48
36 + 2x = 48
2x = 48 - 36
2x = 12
x = 12 ÷ 2
x = 6
Therefore, in 6 Years sum of their ages is 48 years.
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Write an equation of the line that passes through $\left(1,2\right)$ and is parallel to the line $y=-5x+4$.
2 = -5(1) + b is equation of the slope-intercept form of line .
What does math's slope intercept form mean?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible.
This form is frequently known as the y = mx + b form.
y = mx + b
Parallel lines have the same slope, so
m = -5
y = -5x + b
Use the given point to find b.
2 = -5(1) + b
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50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.
Answer: Angle A= 70 degrees and AC= 12 cm.
Step-by-step explanation: Isosceles have two equal sides and angles. We can see this by the red lines and angle signs.
Factorise this expression as fully as possible
2xy^2 + 8y
Step-by-step explanation:
[tex]2xy^2 + 8y[/tex]
2y is the common factor so:
[tex]2y(xy + 4)[/tex]
Help me asp please thanks before 11:59 do 9 and 10
Answer:
9) compress
10) translate right 8 units
Step-by-step explanation:
A table of values is shown.
Show work
This is my method.
Take two points.
(X₁ = -8, Y₁ = 8)
(X₂ = -3, Y₂ = 4.875 or 4 7/8)
Equation of a straight line:
y = mx + b ------(i)
Step 1: Calculating Slope (m).
[tex]\frac{y_2-y_1}{x_2-x_1 }[/tex]
[tex]\frac{4.875-8}{-3--8}[/tex]
[tex]\frac{-3.12500}{5}[/tex]
[tex]m=-0.625[/tex]
Now putting value of m in equation (i)
y = -0.625x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (-8,8) for calculating y-intercept:
y = mx + b
8 = -0.625(-8) + b
8 = 5 + b
3 = b
b = 3
Now putting value of b in equation (ii)
y = -0.625x + 3
This is slope-intercept form, now let's convert to point-slope formula.
⇒ [tex]y-2.375=-0.625(x-1)[/tex]
Help y’all I need this by tonight, I don’t know this ahhhhhh- I gotta do thi in 9th grade ;-; , -1/9(-5/13)
The answer will be 5/117.
Let us understand the process. First, we have to do -\
1/9x{-5/13).
Then we have to then calculate -1x-5 which is equal to 5.
Again, we have to calculate 9x13 which is equal to 117.
Therefore, the answer will be 5/117.
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a lemonade can have a radius of 1.5 in and a height of 9 in the can is made from a sheet of aluminum that weighs 0.02 Oz per square inch you received $0.35 per pound of aluminum that you recycle how much do you earn recycling 38 cans
Answer:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
A French class has students while a Spanish class has twice as many.
The Spanish class has nine more students than the French class. Find the value of f.
Students in french class are 9 and in Spanish are 18 , according to given equation.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
According to question:
A French class has students while a Spanish class has twice as many.
let french class have f students then Spanish class will have 2f students.
The Spanish class has nine more students than the French class.
which means
2f - f = 9
f = 9
hence students in french class are 9 and in Spanish are 18 .
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$39 pizza order; 15% tip
Answer: $44.85
Step-by-step explanation:
Take 39 times 0.15% = $5.85
39 + 5.85 = $44.85
The total cost is $44.85
Answer: 44.85
Step-by-step explanation:
15% of 39 = 5.85
Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?
Answer: B
Step-by-step explanation:
For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].
For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].
Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2011, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1141.
Years since 2011 (x) New Cases (y)
0 814
1 825
2 854
3 869
4 947
A linear regression equation that represents this set of data is y = 31x + 799.8.
The calendar year in which the number of new cases would reach 1141 is 2022.
How to write the linear regression equation?In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.
On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.
By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:
y = 31x + 799.8
Now, we can estimate the calendar year in which the number of new cases would reach 1141:
1141 = 31x + 799.8
31x = 1141 - 799.8
31x = 341.2
x = 341.2/31
x = 11.0
Calendar year = 2011 + 11
Calendar year = 2022.
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Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would piper make in a week in which she made $2050 in sales? how much would piper make in a week if she made xx dollars in sales?.
If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.
What is commission in money?A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.
As she makes a guaranteed salary of $250 per week
and paid a commission equal to 15% of her total sales for the week
if she made $2050 in sales in a week
so calculating it 15% commission
=(15x2050)/100
=307.5$
now adding the salary with commission:
=$250+307.5$
=557.5$
so this is the amount piper make will in this a week.
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Answer: it’s raining tacosss. From out of the skyyYYy.
Step-by-step explanation:kit tu litter
Each X=.........student
Answer:
x = 1 student.
Step-by-step explanation:
Fill in the blanks to create an equation with infinite solutions:
7x + 19 = 4x + x - 12 +
Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
Given that,
We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------
We know that,
Take the equation
7x+19= 4x+x-12+------
We have to find the missing terms so that the right hand side is equal to left hand side.
Right hand side is 7x+19
Left hand side is 4x+x-12+------
5x-12+----
To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.
5x-12+2x+31
7x+19
Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
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Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should anthony spend on each job if he wants to earn at least $125 each week?.
If he wants to make $125 by working 14 hours per week, he must invest 17 hours in babysitting and -3 hours in tutoring.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Cost of tutoring=$15
Cost of babysitting=$10
Total time he can give=14 hours
Total amount he wishes to earn=$125
Let x be the time he gave to tutoring and y be the time he gave to babysitting,
x+y=14
x=14-y
15x+10y=125
15(14-y)+10y=125
210-15y+10y=125
5y=85
y=17
x=-3
He should spend 17 hours on babysitting and -3 hours on tutoring if he want to earn $125 by working 14 hours per week.
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Need help giving Brainly to the answer. thank u
Answer: 26
Step-by-step explanation:
let t = thomas's age
104 = (3t) + t
104 = 4t
t = 26
Answer: 26 years old
Step-by-step explanation:
We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.
h = 3t
h + t = 104
Now, we will solve by substituting the first equation into the second.
Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.
h + t = 104
(3t) + t = 104
4t = 104
t = 26
Which graph represents a linear function?
Answer:
the 4th graph
Step-by-step explanation:
Linear functions are straight lines.
Tell which value of the variable is the solution of the equation. 128÷n=16; n=5, 6, 7, 8
Answer:
8
Step-by-step explanation:
128/n * n = 16 * n
128 = 16n
128/16 = 16/16 n
n = 8
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –one-thirdx 5 y = –one-thirdx 3 y = 3x 2 y = 3x − 5
The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5
What is slope intercept form ?The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
The slope intercept form of a straight line equation can be written as :
y = mx + c
Where
m = slope = (change in the y-value) axis's / (change in the value of x in the x axis)
The given line's equation is
y = - x/3 + 5
Slope = - 1/3 as compared to the slope intercept form.
The slope of one line is equal to the negative reciprocal of the slope of the other line if two lines are perpendicular.
As a result, the slope of the line through (3, 4) is 3.
In order to calculate the intercept, we would replace m with 3, x with 3 and y with 4
The equation becomes
4 = 3 × 3 + c
c = -5
putting the value of c and m in the slope intercept form equation
We get
y = 3x - 5
The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5
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Answer:
A.) y = –3x + 4 and y = –3x – 4
Step-by-step explanation:
The first equation of a system of equations is y = -3x + 4 and the second equation is y = -3x - 4.
We can see that both equations have the same slope of -3 and have different y-intercepts of 4 and -4, respectively.
Because the two lines are parallel, they will never intersect and will overlap each other, resulting in an infinite number of solutions.
Therefore, the system of equations y = –3x + 4 and y = –3x – 4 has infinitely many solutions.
whatt is the answer i need answers like right now I'm going to fail
Answer:
1/2
Step-by-step explanation:
we can make this a fraction
29/59
if we look at our answer choices it is not 0 and it is not a whole number yet and definitely not 2 but it is close to 1/2
29/59=0.49
1/2= 0.5
Which are very close to each other
Hopes this helps please mark brainliest