The slope of a line that is parallel to the line y = x + 2 is 1.
What is slope?
A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).
Given the equation of line: y = x + 2
We have to find the slope of a line that is parallel to the given line.
Since any line parallel to the given line y = x + 2 will have the same slope as that of a given line
The general equation of line is given as y = mx + c
where. m is the slope of the line and c is y-intercept.
Thus for given equation of line y = x + 2
Comparing , we get
slope is m=1
Thus, any line with slope 1 is parallel to the given line y = x + 2
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If CP=590 and profit=75, find SP
Answer:
Sp=cp+p
sp=590+75
sp=625
please answer fast and a explanation would be nice but doesn’t have to be there
The inequality in the slope-intercept form is y≥(3x/7)+3 when the graph is in of a linear inequality.
What is meant by slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844)[2] and Todhunter's formulations of the equation for a straight line as y = mx + b and y = mx + c, respectively.
Let the linear equation be
y=m x +c
From the graph the lines are passing through the points (-7,0), (0,3)
Slope m =(3-0)/(0+7)
m=3/7
c=y-intercept
Therefore, c=3
Substitute the values in the above equation.
y=(-3/7)x+3
7y=3x+21
But, here we need to use the inequality which satisfies the shaded region.
Let us consider the point (1,2)
7(2)=3(1)+21
14=24 (But 14≠24)
Therefore, 14≥24
So, we have to use ≥ sign
7y≥3x+21
y≥(3x/7)+3
The inequality in the slope-intercept form is,
y≥(3x/7)+3
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An athlete run at a rate of 309 yd. /min. If one lap i 315 yard how many lap doe he run in 19 minute?
If an athlete runs at a rate of 309 yd. /min. If one lap is 315 yard athlete then athlete covers 18.63 laps in 19 minutes
What is a conversion factor?
A fraction that is equal to "1" is a conversion factor. The numerator and denominator are the same amount, but they are expressed in different units. It is used to change a number's unit of measurement. In order to do that, multiply the initial number by the fraction equal to "1"; this maintains the original number's value but modifies the units.
An athlete run at a rate of 309 yds. /min.
If one lap is 315 yard
Then total number of yards covered by the athlete is 5871.
I.e. 309 x 19 = 5871.
So total laps covered by the athlete in 19 minutes is
[tex]\frac{5871}{315}=18.63[/tex]
Hence, athlete covers 18.63 laps in 19 minutes
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Write an equation in slope-intercept form of the line shown.
PLEASE HELP NOW!! it's a very easy question ;( ty in advance. you'll save my life
Answer:
Step-by-step explanation:
1) (x-6)
2) (x-3)
3) x(x-3)(x-6)
Determine the value for k in the equation k-173.54 = 294.57
Answer:
468.11
Step-by-step explanation:
k = 294.57 + 173.54 = 468.11
Answer:
k = 468.11
Step-by-step explanation:
Given equation,
→ k - 173.54 = 294.57
Now the value of k will be,
→ k - 173.54 = 294.57
→ k = 294.57 + 173.54
→ [ k = 468.11 ]
Hence, value of k is 468.11.
the diameter of a circle is 10 yards. find the approximate circumference for the circle, using 3.14 for pie.
Answer:
31.4 yards
Step-by-step explanation:
Formula for circumference is C = π*d
10*3.14
31.4 yards
Hope this helps!
Answer:
[tex] \sf C = 31.4 \: yards[/tex]
Step-by-step explanation:
The formula to find the circumference of a circle is :
[tex] \sf \: C = \pi \: d[/tex]
Here,
d --> Diameter ---> 10 yards
Let us find it now.
[tex]\sf \: C = \pi \: d \\ \sf \: C = 3.14 \: \times 10 \\ \sf \: C = 31.4 \: yards[/tex]
1/4 plus (-1/2) equivalent or non
Solution of 1/4 plus (-1/2) giving the answer in equivalent form of fraction
-1/4 least form of the fraction-2/8 equivalent form of the fractionHow to determine the addition problemThe problem involves addition of fractions
The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.
The fraction required are:
= 1/4 plus (-1/2)
= 1/4 + -1/2
= 1/4 - 1/2
= 1/4 - 2/4
= -1/4
-1/4 is in the least form of the fraction.
The equivalent form is written as
-2/8
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1 What is the cost to get into a Green Cab?
2 How much does it cost per mile for a Green Cab?
3 What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
1. $5
2. $2 for each mile
3.equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Caby=x+5
What is an explanation of the slope-intercept form?
Simply put, 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. This form is frequently known as the y = mx + b form.
1. The graph shows that the Green Cab will cost you $5 for a distance of 0 miles.
2. According to the graph, $1 is spent for every mile traveled.
3. Because y increases by the same amount for every 1 increase in x, the slope is 1.
The slope intercept form is y=mx+b.
m=slope
intercept b=y
Since we are aware that the slope is 1, we can enter it.
y=1x+b
=y=x+b
By looking at the graph and calculating what y equals when x is 0, we may get the y intercept.
It is the y intercept (0,5)
So that the equation is in slope intercept form, we may enter that.
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according to a report published by the federal interagency forum on child and family statistics (2015), identify the group of families in which the proportion of children has contracted sharply from 1980 to 2013.
The group of families in which the proportion of children has contracted sharply from 1980 to 2013 is Middle-Income group.
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Flight 168 carries 54 passengers, each with 2 suitcases.
Each suitcase has a mass of about 16 kg.
The airplane was built to carry 2250 kg of luggage.I
Is the flight over or under the limit? Explain.is the flight over or under the limit? Explain.
Answer:under
Step-by-step explanation:
so if you do 54times 2 it is 108so then you do 16 times 108 and you get 1728
Answer:
flight is under the limit
Step-by-step explanation:
1 suitcase=16kg
2 suitcases=16kgx2=32kg
1 passenger has 32kg
54x32=1728kg
54 passengers have 1728kg
1728kg is less than 2250kg which means flight is under the limit
The function f={(x,y)|y =mx+c} is a. Quadratic function b. Constant function c. Cubic function d. Linear function
⇒The given function is a linear function as we know the general equation of a straight line is y=mx+c
Option d is the answer.
What’s the newer to this??
Answer:point c
Step-by-step explanation:
because point c is three lines down from -1. making -1 and 3/8
Answer:
Point C
Step-by-step explanation:
Because -1 3/8 is negative, it is less than 0.
Point A is eliminated.
Because | -1 3/8 | > | 1 |,
Point B is eliminated.
There are 8 tick marks in between (and including) the integers. Each small unbolded tick mark represents 1/8.
Because 3/8 is 3 times 1/8, count 3 down from -1.
You are left with C.
f(x) = x^2. What is g(x)?
If the function f(x) = [tex]x^2[/tex], then the function g(x) = [tex]-x^2-2[/tex]
From the given graph
The function is
f(x) = [tex]x^2[/tex]
The function is the rule the shows the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. We can also says that the it show the relationship between input and output of the function
We can see that the function g(x) is the reflection of the function f(x) at y = -2
The reflection of f(x) = - f(x)
= - [tex]x^2[/tex]
The reflection of f(x) at y = -2 is
f(x) = [tex]-x^2-2[/tex]
Then the function g(x) = [tex]-x^2-2[/tex]
Hence, If the function f(x) = [tex]x^2[/tex], then the function g(x) = [tex]-x^2-2[/tex]
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Si tuviera 4 huevos y un ladrón me lleva 3 y el gallo que tengo pone 5 cuántos huevos tengo.
Tengo un total de 3 huevos en la última.
Los rompecabezas también son una excelente manera de pensar fuera de la caja. Resolver acertijos fortalece las conexiones entre las células cerebrales y forma nuevas células cerebrales, mejorando así la memoria. Resolver acertijos es una excelente manera de mejorar tu memoria a corto plazo.
Este acertijo viral debe leerse con atención. Su primer pensamiento podría ser que este es un problema matemático simple.
Si tuviera cuatro huevos
Un ladrón me da 3 huevos,
Mi gallo de granja pone 5 huevos,
¿Cuántos huevos tengo?
La explicación lógica de este acertijo es "Para empezar, el acertijo dice 'Si tuviera 4 huevos', pero este es solo un escenario y no tenías ningún huevo en primer lugar. Así que eso es 0 huevos.
Entonces el ladrón te dio 3 huevos.
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y= mx + b
Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold, x.
Do not include dollar signs in the equation. what does y equal?
The correct equation that shows their total earnings, y, depend on the number of cups sold, x will be;
⇒ y = 2x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
They earn $2 for each cup of lemonade they sell.
Now,
Let number of cups = x
And, Total earnings = y
Since, They earn $2 for each cup of lemonade they sell.
So, We get;
⇒ y = 2x
Where, x is number of cups and y is total earnings.
Thus, The correct equation that shows their total earnings, y, depend on the number of cups sold, x will be;
⇒ y = 2x
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What is $938,835.81 rounded to the nearest $10,000?
Answer:
940,000.00
Step-by-step explanation:
The 8 goes into the 3 and since 8 is bigger than 5 or 4 it rounds it up to the next umber, which is 4
pls guys i need help whats 1 + 1
Answer:
2
Step-by-step explanation:
Answer: 1 + 1 is two!
Step-by-step explanation:
We know this because, we can count our fingers. Your pointer finger and your index finger put together is a total of two fingers!
There are other ways to do simple addition, but I find counting fingers the easiest!
Hope this helped you! Have a great day :)
Five poitive whole number add up to 47
One of the number i a multiple of 9
The other four number are equal. Work out the reult when the five number are multiplied. Optional working
The multiplication of 5 whole numbers is 16875
Given that
5 positive whole numbers add up to 47
we solve these by using system of equation
let 5 whole numbers be p, q, r, s and t
equation is: p + q + r + s + t = 47
one of the number is a multiple of 9 the other four numbers are equal
let p be the multiple of 9
equation is: p + q + q + q = 47
p + 4q = 47
let's try trial and error method q and p are whole numbers, they cannot be decimal
let p = 9
9 + 4q = 47
4q = 47-9
4q = 38
q = 9.5 it is not whole number, so this is not the number
let p= 18
18 + 4q = 47
4q = 47-18
4q = 29
q = 7.25 it is not whole number, so this is not the number
let p = 27
27 + 4q = 47
4q = 47 -27
4q = 20
q = 5
then multiplication of these 5 whole numbers is
27 * 5*5*5*5 = 27*625=16875
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Let's find the slope of the line containing the points (-4,1) and (2, 3).
Answer:
1/3
Step-by-step explanation:
Compute the slope of the line through the following points:
p_1 = (-4, 1) and p_2 = (2, 3)
The slope of the line through (x_1, y_1) and (x_2, y_2) is:
(y_2 - y_1)/(x_2 - x_1)
Substitute (x_1, y_1) = (-4, 1) and (x_2, y_2) = (2, 3):
= (3 - 1)/(2 - -4)
3 - 1 = 2:
= 2/(2 - -4)
-(-4) = 4:
= 2/(2 + 4)
2 + 4 = 6:
= 2/6
The gcd of 2 and 6 is 2, so 2/6 = (2×1)/(2×3) = 2/2×1/3 = 1/3:
Answer: = 1/3
Simplify the expression to a polynomial in standard form: (x + 1) (2x^2 - 3x - 7)
Answer:
2x^3-x^2-10x-7
Step-by-step explanation:
Distribute x to 2x^2, 3x, and -7
Then, distribute 1 to 2x^2, 3x, and -7
Hope this helps.
:)
A contractor purchases 6 dozen pairs of padded work gloves for $89.28. incorrectly calculates the unit price as $14.88 per pair for the expense report. What is the correct unit price?
Answer:
It is about $0.07 per pair for the expense report.
Step-by-step explanation:
You have to divide 89.28 by 6 to get the unit price. 89.28/6=0.06720430107 or about $0.07. Hope this helps! I am up doing math too -_-. Please don't mark me brainliest, I just love to help.
PLEASE HELP ME WITH THIS!!!
The composite figure has an area of 205 square feet
How to determine the area of a composite figure
In this question we find the composite figure formed by two right triangles and two rectangles, whose total area is the sum of the areas of the two right right triangles and two rectangles. Then, the area formula is shown below:
A = Σ A' + Σ A''
Where:
A - Total area, in square feet.A' - Total area of the two rectangles, in square feet.A'' - Total area of the two right triangles, in square feet.The area formulas for right triangles and rectangles:
Right triangles
A = 0.5 · b · h
Where:
b - Base, in feet.h - Height, in feet.Rectangles
A = b · h
Now we proceed to calculate the area of the composite figure:
A = 0.5 · (13 ft) · (20 ft) + 0.5 · (11 ft) · (4 ft) + (4 ft) · (8 ft) + (7 ft) · (3 ft)
A = 130 ft² + 22 ft² + 32 ft² + 21 ft²
A = 130 ft² + 75 ft²
A = 205 ft²
The area of the composite figure is equal to 205 square feet.
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Johnny has some nickels and dimes in his pocket, and the change is worth $0.75. He has twice as many dimes as nickels. How many of each type of coin does Johnny have?
| BTW this is a system of equations question
The number of each of the coin in Johnny's possession are
Nickel = $0.75Dimes = $1.5How to determine the number of each of the coin Johnny hasInformation from the question
Johnny has some nickels and dimes in his pocket, and the change is worth $0.75
He has twice as many dimes as nickels
The change worth $0.75
Nickels, N - Dimes, D = 0.75
D - N = 0.75
twice as many dimes as nickels
2N = D
N = D / 2
therefore
D - D/2 = 0.75
D/2 = 0.75 = N
D = 1.5
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There are four types of counters in a bag. The tables shows the numbers of each type of counter in the bag.
Yellow circle - 19
Green circle - 27
Yellow square - 14
Green square - 11
There are more green counters than yellow counters.
How many more?
Answer:5
Step-by-step explanation:
19 + 14 = 33
27 + 11 = 38
38 - 33 = 5
8 more than triple a number is -8
Answer:
8+3x=-8
x=-5 1/3
Step-by-step explanation:
triple a number means to multiply by 3
More than is to add
8+3x=-8
-8. -8
3x=-16
x=-5 1/3
Hopes this helps please mark brainliest
Paragraph on cyclone
Cyclones are cyclic rotating air masses around a low atmospheric pressure center which when viewed from above looks like a circle. It causes heavy rainfall and thunderstorm. The speed of a cyclone often varies between 30 to 50 km which is enough to destroy anything behind its path. It moves clockwise in the southern hemisphere and anticlockwise in the northern hemisphere.
There are two types of cyclones Tropical cyclones and Extratropical cyclones:
Tropical cyclones: Cyclones that develop in the tropics are known as tropical cyclones.Extratropical cyclones: Cyclones that develop behind the tropics are known as extratropical cyclones.There are different names for cyclones in different countries such as:
Typhoons in the China SeaTropical cyclones in the Indian OceanHurricanes in the Caribbean SeaTornadoes in the USAWilly Willies in Northern AustraliaTo know more about Tropical cyclones:
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A bag contains 30 red marbles and 15 purple marbles. Mr. Clark wants to add 270 marbles to the bag. He wants the ratio of red to purple marbles to remain the same. How many of each should he add? A. 70 red marbles 200 purple marbles B. 200 red marbles and 70 purple marbles C. 180 purple marbles and 90 red marbles D. 180 red marbles and 90 purple marbles
Answer: 20 PURPLE marbels
Step-by-step explanation:
no explanation
Answer:
the is 200 purple marbles 70 red marbles
Its very annoying and I feel like its impossible
The function f(x) = 4x + 10 models the amount of money francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?.
The amount of money that he will make for 2 hours of baby sitting work is $18
The function is
f(x) = 4x + 10
The function f(x) is the amount of money Francis makes when babysitting for x hours
The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will independent variable
The function
f(x) = 4x + 10
The number of hours x = 2 hours
Substitute the values of x in the function
f(2) = 4(2) + 10
f(2) = 8 +10
f(2) = $18
Hence, the amount of money that he will make for 2 hours of baby sitting work is $18
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