Find, in standard form, the equation of the line that is parallel to y = 4x + 2 and passes through (5, -5)
Answers
Answer:
The equation of the line that is parallel to
\(y=4x+2\)and passes through (5,-
Explanation:
We want to find the standard form equation of the line that is parallel to
\(y=4x+2\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(1)\)and passes through the points (5, -5)
The equation of the line given above has slope of 4 units, and y-intercept of 2.
Any equation with the slope 4 units and a different y-intercept from 2 - is a parallel line with the line in equation (1).
Let this parallel line be:
\(y=4x+b\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(2)\)Since this line passes through (5, -5), we have x = 5, and y = -5. Substituting these valeus of x and y in equation (2), we can easily find the value of the y-intercept b
\(\begin{gathered} -5=4(5)+b \\ \\ -5=20+b \\ \\ \text{Subtract 20 from both sides} \\ -5-20=b \\ b=-25 \end{gathered}\)Therefore, the equation of the line is:
\(y=4x-25\)Related Questions
The solution to a system of two linear equations is x = 3; y = 9.
How could the intersection of the graphs of the two equations be located on a coordinate grid?
What does the solution to a system of two linear equations mean on the graph?
Can you have more than one solution to a Linear system of equations?
Can you have exactly two solutions to a Linear system of equations?
Can you have no solutions to a Linear system of equations?
:: From the origin, move 3 units up and 9 units right
:: The point where the lines cross the y-axis
:: The point that the two lines DO NOT have in common
=
:: No, because lines are straight
POSSIBLE POINTS: 13.0-
From the origin, move 3 units right and 9 units up
::The point of intersection of the two lines
Yes, if both lines are the same exact line :: Yes, if the lines are parallel
:: Yes, because the lines could cross each other twice
Answers
The lines intercept at the point (3, 9), and:
A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.
How could the intersection of the graphs of the two equations be located on a coordinate grid?If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.
Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.
Can you have more than one solution to a Linear system of equations?
Yes, you can have:
no solution.
one solution
infinite solutions.
These are the 3 options.
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1. Plot the supply and demand schedule for the blu-ray movie "Frozen."
What is the equilibrium price?
What is the equilibrium quantity?
2. Best Buy decides to charge a price of $30.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Best Buy do to the price to get it back to equilibrium? _
3. Target decides to charge a price of $10.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Target do to the price to get it back to equilibrium?
Answers
1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.
Equilibrium price and quantity are $20 and 40 units respectively.
2) At a price of $30, quantity demand and supplied are 20 and 60 units respectively
This is an example of supply surplus.
To get the price back to equilibrium, they have to setthe price at $20 /unit
3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.
This is an example of supply shortage.
increasing the price to $20 per unit will help achieve equilibrium.
What is market equilibrium?Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
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Fred the clown can create 20 animal balloons every 15 minutes.
15 20
6 ------
45 ------
Answers
And
60 (triple 15)
Answer:
15:20
6:8
45:60
Step-by-step explanation
24 fl.ounces = how many cups?
Answers
Answer:
3 cups
Step-by-step explanation:
Answer:
Its 3
Step-by-step explanation:
you divide the volume value by 8
24 = 3
if 60% of a given number is 18.0 what is 25% of the given number
Answers
Answer:
7.5
Step-by-step explanation:
60% = 0.6
18 / 0.6 = 30 (given number)
25% = 0.25
30 * 0.25 = 7.5
Best of Luck!
Answer:
2.7
Step-by-step explanation:
60/100x = 18
x = 10.8
25/100x = ?
25/100 (10.8) = 2.7
In a class of 50 students 24 like football, 21 basketball and 18 Cricket, 6 like football and basketball, only 3 like basketball only, 5 like any of the three games. Illustrate the information in a Venn diagram. Find the number of students who like football and crickets only and exactly one of the game.
Answers
After answering the query, we may state that Therefore, the number of equation students who like exactly one of the games is: O + 3 + 6 = 24 + 3 + 6 = 33
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
Here is a Venn diagram illustrating the information given:
_______ _______
| | | |
| F | | C |
|___|___| |___|___|
| |
| | | |
B | FC | | B |
|___|___| |___|___|
| |
| | | |
| O | | E |
|___|___| |___|___|
F = Football
B = Basketball
C = Cricket
FC = Football and Basketball
O = Only Football
E = Exactly one of the games
To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:
O - FC - E = 24 - 6 - 5 = 13
To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:
O + 3 + 6 = 24 + 3 + 6 = 33
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Help me answer this please
Answers
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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which expression is equivalent to
2x-11x-6
Answers
Answer:
Step-by-step explanation:
The expression 2x - 11x - 6 can be simplified as follows:
2x - 11x - 6 = -9x - 6
So, the equivalent expression is -9x - 6.
The answer is:
-9x - 6
Work/explanation:
To simplify this expression, we combine the like terms :
\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)
There's nothing that we can do for this expression. It's been simplified as much as possible.
Hence, the answer is -9x - 6.Please i need the answer fast k12
Answers
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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What is the first step in which the student made an error?
o Step 1, because the student should have written a compound statement with "and"
o Step 2, because the student should have graphed the inequalities Y1 SX-4 andy, 51
o Step 3, because the values for x for which yn Sy2 also include values between 3 and 5
Step 4, because the solution is one continuous interval
Answers
The first step where the student made an error is in step 4 because the solution is one continuous interval.
What is r continuous interval?A function can be continuous in nature on an interval and this is said to be the time when the function is said to be seen at all point on that given interval and does not get any interruptions or breaks.
Note that in step 3, the values for x for which y₁ ≤ y₂ is x = 3 or x= 5. and in step 4 , the error is here when it state the solution is one continuous interval because there are more than one interval which is (∞, 3) ∪ (5, ∞)
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Find the equation of the line passing through the points(4,2) and (6,10)
Answers
Solution
Step 1
Write the two points:
(4,2) and (6,10)
Step 2
Use the two points equation of a line formula to write the equation of a line.
\(\begin{gathered} \left(4,2\right)and\text{ \lparen}6,10) \\ (x_1,\text{ y}_1)\text{ = \lparen4,2\rparen} \\ \\ (x_2,y_2)\text{ = \lparen6, 10\rparen} \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{gathered}\)Step 3
Substitute into the formula
\(\begin{gathered} \frac{y-2}{x-4}=\frac{10-2}{6-4} \\ \\ \frac{y-2}{x-4}=\frac{8}{2} \\ \\ \frac{y-2}{x-4}=4 \\ \\ y\text{ - 2 = 4\lparen x-4\rparen} \\ \\ y\text{ - 2 = 4x - 16} \\ \\ y\text{ = 4x - 16 + 2} \\ \\ y\text{ = 4x - 14} \end{gathered}\)Final answer
the question is 4 1/5 x 5/14
Answers
Answer:
3/2
Step-by-step explanation:
Simplify the following:
((4 + 1/5)×5)/14
((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:
((4 + 1/5)×5)/14
Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:
(((5×4)/5 + 1/5) 5)/14
5×4 = 20:
((20/5 + 1/5)×5)/14
20/5 + 1/5 = (20 + 1)/5:
(((20 + 1)/5)×5)/14
20 + 1 = 21:
(21/5×5)/14
21/5×5 = (21×5)/5:
((21×5)/5)/14
((21×5)/5)/14 = (21×5)/(5×14):
(21×5)/(5×14)
(21×5)/(5×14) = 5/5×21/14 = 21/14:
21/14
The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:
Answer: 3/2
Troy has $28,900 in a savings account that earns 6% annually. The interest is not compounded. How much interest will he earn in 2 years?
Answers
First calculate the 6% of 28900
6 x 28900/ 100= $ 1734
now because IS NOT compound interest then multiply by 2 the result
2x $1734 = $3468
Is the ratio 5 6 equivalent to 3 4
Answers
Answer:
No, it is not
Step-by-step explanation:
5 cant be simplified even down further unless it is a decimal or a fraction
on a test, a student answered 12 questions correctly. this number represents 80% of the total number of questions were on the test?
Answers
Answer:
Step-by-step explanation:So if he or she answered 12 right and got 80% then if you count to 100% at should be 14 questions I think if i am wrong sorry
12=80%
13=90%
14=100%
.The rate of income tax increases from 15.2% to 20.9%.due to this Gaurav had to pay
5.55% more tax than previous year. but simultaneously income of Gaurav also decreases
by 18400 Rs. find income of Gaurav last year
Answers
Answer:
Step-by-step explanation:
I need help asap, giving 30 points and brainiest!
Answers
The sum of angles of a linear pair is always equal to 180°.
7x + 12 + 8x + 3 = 180
Simplify
15x + 15 = 180
-15
15x = 165
/15
x = 11
Answer = x = 11
Have a good day ^^
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
Which graph represents the function f(x)=4x?
Responses
Answers
Answer:
slope = 4
points on graph = (0,0), (1,4)
Step-by-step explanation:
line going through quadrants 1 and 3. Straight line.
The original price of a scarf was $25. During a store-closing sale, a shopper saved $15 on the scarf. 1. What percentage discount did she receive? Type the answer in the box below. She received a % discount.
Answers
Answer:
there was a 60 percent discount on the scarf
Answer:
60%
Step-by-step explanation:
How I did it is I put 15 over 25 and multiplied it by x over 100.
It should look like this
15/25 x x/100
which 15 multiplied by 100 is 1500 and then 1500 divided by 25 is 60
Does this help?
HELPPP ME!!! ASAP
PLZZZZZZZZZZ
Answers
ANSWER:i think its C
Step-by-step explanation:
Please help me out‼️‼️‼️‼️〽️
Answers
We can see that the dot plot is seen below.
What is a dot plot?We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.
Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.
Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.
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Lester orders supplies for the Tech warehouse and notice that the number of black tablet cases sold this year was three times the number of red cases if he orders 99 black tablet cases and expects the same sales pattern how many red cases should he order?
Answers
Lester should order 33 red cases.
Representing the given information in equation form -
Number of black cases sold = 3 × number of red cases sold
Now, we will keep the value of number of black cases ordered in the above relation, to find the required number of red cases.
99 = 3 × number of red cases required
Required umber of red cases = 99 ÷ 3
Performing division to find the required number of red cases
Required number of red cases sold = 33
As the sales was 3 times lower for red cases, hence, based on same pattern, the order should also be 3 times lower, to sell out each red case.
Thus, 33 red cases should be ordered by Lester.
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A flag measures 475 feet by 220 feet. Find its area answer
Answers
Answer:104,500
Step-by-step explanation:
Area = l × w= 475 × 220= 104500 feet2
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
Answers
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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125x ^ 3 - 27 = 0
Solve this by grouping
Answers
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Answers
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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how do you find how many pounds he used, and how many pounds did he use?
Answers
Answer:
I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!
One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation
so yeah hope this helped!
what is
225x2 + 4 = 0
Answers
la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
Answers
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Lee writes 48 resumes for $35 each what is her pay?
Answers
Answer:$1680
Step-by-step explanation:
48x$35=$1680