y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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Solve for x.
B
6
5
X
× = [?]
will
give brainliest
Answer:
To solve for x, you can use the equation 6x = 5. This gives x = 5/6.
A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
The best course grade your friend can earn is 92%.
How did we calculate the value?To earn a 75% for the course, your friend would need to score a minimum of 18.75% on the final exam.
This is calculated by:
(0.75 - 0.82) / 0.25
= (0.18) / 0.25
= 0.1875 or 18.75%.
As a result, the best course grade your friend can earn is 92% and the your friend would need to score a minimum of 18.75% on the final exam.
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In how many ways can we Arrange the letters of the word 'jvuyojzrxccome'
Answer:
approximately 87,178,291,200
Step-by-step explanation:
The number of ways to arrange the letters of the word 'jvuyojzrxccome' is 14! (14 factorial), since there are 14 distinct letters in the word. This is a very large number, approximately 87,178,291,200.
Solve |5x – 1| = |2x + 5| Question 12 options: A) x = 1∕2 B) No solutions C) x = 2 or x = –4∕7 D) x = –1∕2 or x = –7
Answer: C) x=2 or x=-4/7
You are at a restaurant and your bill comes to $34.78. You need to add the sales tax which
is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
How much is your total bill including tax?
How much should you give the server so you do not get back any pennies?
What denominations will you use for this?
Use the equation editor to show your work.
The total bill with 6 percent of tax is $36.87, for which the server must be paid one $20 bill, one $10 bill, one $5 bill, one $1 bill and 0.87 pennies.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.
The amount for total bill is $34.78.
The sales tax percentage added is 6%.
The total bill including tax will be -
Final Bill = Total Bill + (Total Bill × tax)
Substitute the values into the equation -
Final Bill = 34.78 + (34.78 × 6%)
Final Bill = 34.78 + (34.78 × 0.06)
Final Bill = 34.78 + 2.0868
Final Bill = 36.8668 ≈ 36.87
Therefore, the final bill is $36.87.
The amount of $20 bill = 1
The amount of $10 bills = 2
The amount of $5 bills = 1
The amount of $1 bills = 5
The amount of pennies = x
So, the amount of bill given to server to make a total of $36.87 is -
1 × ($20) + 1 × ($10) + 1 × ($5) + 1 × ($1) + x = $36.87
20 + 10 + 5 + 1 + x = 36.87
36 + x = 36.87
x = 36.87 - 36
x = 0.87
Therefore, along with 1 bill each 0.87 pennies should be given to the server.
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A manager wanted to analyze the online shoe sales for his business. He collected data for the number of pairs of shoes sold each hour over a 14-hours time period. He created a graph to model the data, as shown below. t The manager believes the set of integers would be the most appropriate domain for this model. Explain why he is incorrect.
The manager is mistaken in believing that the set of integers is the best domain for this model. The domain in this case represents the times of day when shoes were sold.
Hours are continuous values that can be any real number between 0 and 24. As a result, a set of real numbers such as 0 = t = 14, where t represents the hour of the day, would be a better domain for this model.
The manager wants to achieve by analyzing the data. This could be to gain insights into customer behavior, identify areas for improvement, measure the success of marketing efforts, etc.
The domain of integers would be appropriate only if the number of pairs of shoes sold could only be an integer value, which is not the case for online shoe sales.
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Consider the following function.
y+9=0
Which of the following points are solution points and should be plotted when graphing this function? (Select all that apply.)
******
D(0,9)
(1,-9)
O(-9, 1)
O(-9,5)
O(-1,-9)
Answer:
(1,-9) or d(0,9) ahahahshaiaiahsiaoajaj
Answer:
(1,-9), (-1,-9)
Step-by-step explanation:
Given: y+9=0
Therefore: y=-9
Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.
The limit of the function [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] is 12 and from the graph, we can say that for x = 2, g (x) is continuous while f (x) is not.
The function is [tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex].
We firstly simplify the expression.
We can write the function as:
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x)^3-(2)^3}{x-2}[/tex]
Using the formula, [tex](a)^3-(b)^3 = (a-b)(a^2+ab+b^2)[/tex]
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}\frac{(x-2)(x^2+2x+4)}{x-2}[/tex]
Simplify
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [tex]\lim_{x\rightarrow 2}[/tex](x^2 + 2x + 4)
Using, [tex]\lim_{x\rightarrow c}[/tex] f(x) = f(c)
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = [(2)^2 + 2×2 + 4]
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = (4 + 4 + 4)
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex] = 12
We have [tex]\frac{x^3-8}{x-2}[/tex] = (x^2 + 2x + 4)
So the simpler function is
g(x) = (x^2 + 2x + 4)
that agrees with the function f(x) = [tex]\frac{x^3-8}{x-2}[/tex] except x = 2.
Now we graph the function f(x) and g(x).
We can see that for x = 2, g (x) is continuous while f (x) is not.
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The complete question is:
Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.
[tex]\lim_{x\rightarrow 2}\frac{x^3-8}{x-2}[/tex]
need help ASAP. I will give brainliest
Answer:
=-16
Step-by-step explanation:
Step 2, divided first within first parentheses
Step 4, subtract first within the parentheses.
（³√27-14÷2) (6-8)²
=(3-14÷2) (6-8)²
=(3-7) (6-8)²
=(-4) (-2)²
=(-4) 4
=-16
please help me will give u extra points :)
• which one do I put by number line?
Given that, 3x -2 < 2x+1
⇒3x-2x < 1+2
⇒ x< 3 or x∈ (-∞,3)
Both the lines y=3x -2 and y=2x+1 will meet at x=3.
The black line clearly reveals the solution of 3x -2<2x + 1.
An inequality is formed by two real numbers or two algebraic expressions linked by the symbol ", V, ", or '>'.
As an example: Three, five, and seven are numerical inequalities. Literal inequalities are x 5, y > 2, and x > 3. axe + b 0 and axe + b > 0 are simple inequalities in a single variable.
Slack inequalities in one variable are axe + b 0 and axe + b > 0.
axe + by c, axe + by > c are two-variable strict inequalities.
Slack inequalities in two variables are axe + by c and axe + by > c.
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Given: TOYS is a rectangle with diagonals TY and OS intersecting at point J. If angle TYO = 43°, find angle YJS.
TOYS is a rectangle with diagonals TY and OS intersecting at point J. If angle TYO = 43°, then angle YJS = 68.5°.
How did we get the value?Given that TOYS is a rectangle, we know that:
The diagonals TY and OS bisect each other.
The diagonals TY and OS are congruent (equal in length).
Using the information above, we can draw the following interpretation s:
We can see that:
Triangle TYJ is isosceles (because TY = OJ).
Angle TYJ = (1/2) * Angle TYO = (1/2) * 43° = 21.5°
Angle YJS = 90° - 21.5° = 68.5°
So, angle YJS = 68.5°.
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Any assistance please
The line with slope -2 through the point (-13, 21) is y = -2x + b where b= y intercept, found by plugging in the values x=-13 and y=21.
How will you solve this question?21 =-2(-13) + b
b = 21 -26 = -5
y =-2x -5 is the equation in slope intercept form
or
2x +y =-5 in standard form the graph is a downward sloping straight line
y intercept is (0,-5), x intercept is (-5/2, 0) = (-2 1/2, 0)
plot those two points, connect them with a straight line
add arrows on both ends of the line to indicate the line goes forever in both directions
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Find the median and mean of the data set. Then, determine if the data set is symmetrical.
{48, 16, 8, 6, 37,20}
A. The median is: [Select]
B. The mean is: [Select]
C. The data set is [Select]
because [Select]
The answers are,
A) The median is 18.
B) The mean is 2.25.
C) The data set is not symmetrical because it is skewed left.
What is median and mean of data set?
The measure of central tendency that is most frequently used is the mean. The average of the specified set of data is what it actually reflects. Both continuous and discrete data types can use it. It is determined by dividing the total number of values in the data collection by the total sum of all the values.
In most cases, the median shows the midpoint of the supplied set of data when it is presented in a specific order.
Here the given data set is 48,16,8,6,37,20.
To find median , we need rearrange then into ascending order then,
=> 6,8,16,20,37,48.
Here mid point of the data set is 16 and 20. Then,
=> [tex]\frac{16+20}{2}[/tex]
=> [tex]\frac{36}{2}[/tex]
=> 18.
Now to find mean of the data set we need to add all data and divide them by number of data, Then
=> [tex]\frac{48+16+8+6+37+20}{6}[/tex]
=> [tex]\frac{135}{6}[/tex]
=> 2.25
Now the data set is not symmetrical because it is skewed left.
Hence the answers are,
A) The median is 18.
B) The mean is 2.25.
C) The data set is not symmetrical because it is skewed left.
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MCR3U0 Name: e) Sketch the function 8(x) and state the domain and range of the transformed function g(x). Important: On the same grid, use step-by-step transformations to arrive at the required new function. Use a different colour for each step and include a legend stating the equa tion of each new graph. The transformations should be shown in the following order. 1. Base Graph 2. Vertical reflection/stretch/compression (if any). 3. Horizontal reflection/stretch/compression (if any). st 4 Horizontal and Vertical translations (if any).
Answer:
The function 8(x) is a parabola that opens downward and is centered at (0,0). The domain of 8(x) is x∈R and the range of 8(x) is y∈[0,∞).
To arrive at the new function g(x), follow these steps:
Base Graph: The base graph of 8(x) is shown below.
Vertical Reflection: To reflect the parabola about the x-axis, multiply the function by -1. The new function is g(x) = -8(x).
Horizontal Reflection: To reflect the parabola about the y-axis, multiply the function by -1. The new function is now g(x) = 8(-x).
Horizontal and Vertical Translations: To translate the parabola 4 units to the left and 2 units up, add 4 to the x-coordinates and subtract 2 from the y-coordinates. The new function is g(x) = 8(x-4)-2.
The resulting graph is shown below. The domain of g(x) is x∈R and the range of g(x) is y∈[-2,∞).
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-0.67x+0.47x = 6.4
-0.2 x = 6.4
6.4
X = ?
Answer: The equation -0.67x + 0.47x = 6.4 is equivalent to -0.2x = 6.4
Step-by-step explanation: To solve this equation for x, we can divide both sides of the equation by -0.2
x = 6.4 / -0.2
x = -32
Therefore, x = -32 is the solution to the equation -0.67x + 0.47x = 6.4
This solution represents the value of x that makes the equation true.
Two consecutive integers have a sum of 167. Find the integers.
Answer:
83 and 84
Step-by-step explanation:
Let's call the two integers x and (x + 1), respectively.
x + (x + 1) = 167
2x + 1 = 16
2x = 166
x = 83
The two integers are 83 and 84
IREADY AREA QUESTION PLS HELP TYY~!!
A family has a sweet potato pie. The top of the pie is in the shape of a circle with a radius of 4.5 inches. The pie is cut into 10 equal pieces, as shown.
Answer:
191 i guess
Step-by-step explanation:
πr^2=3.14*4.5^2=63.585
63.585*3(three pieces only)=191 approximately
In the given figure COE and BOD are right angles. If the measure of BOC is four times the
measure of COD, which is the measure of AOB?
The measure of angle AOB is 180°.
Since COE and BOD are right angles, the measure of both angles is 90°.
The measure of COD is 1/4th of the measure of BOC, which is 90°. Therefore, the measure of COD is 90/4 = 22.5°.
Adding the measures of all three angles gives us 180°.
Therefore, the measure of AOB = 180 - (90 + 22.5) = 67.5°
I added a screenshot.
Based on the information in the graph, we can infer that the correct answer is A. None of the above, since none of the options represents the intersection of the set A and B.
What does the symbol ∩ mean?The symbol ∩ is used in set theory to refer to the set that contains all those elements that A and B have in common.
Based on the above, we can infer that this refers to the central set in which the number 1 is found. However, none of the options have this value, so the correct answer would be A. none of the above.
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What is the minimum payment he must make to CreditFirst in June? $
What is the minimum payment he must make to Sun Money in June? $
Answer: I'm sorry, but I'm unable to answer your question as you haven't provided any information about the minimum payment that he must make to CreditFirst and Sun Money. Please provide more details and I'll do my best to help you.
Step-by-step explanation:
Calculate the area of the rectangular region TQRS, if its base is 9 m and its height is one third of said base.
Answer: The area of the rectangular region is 27 m².
Step by step explanation:
Data :
Its base is 9 mHeight is 9/3We calculate the area taking into account the formula that I will give you:
[tex] \bold{A = b * h }[/tex]
We simplify according to the given formula:
[tex]\bf A = 9(3)[/tex]
[tex]\boxed{ \bf A = 27 \: {m}^{2} }[/tex]
Rpt: The area of the rectangular region is 27 m².
Lydia has money in two savings accounts. One rate is 7% and the other is 8 %. If she has $450 more in the 8% account and the total interest is $318, how much is
invested in each savings account?
Answer
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Jan 29
7:28
$2360 was invested at 7% and $1910 was invested at 8% to get a total interest of $318
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of money invested at 7% and y represent the amount of money invested at 8%.
The total interest is $318, hence:
0.07x + 0.08y = 318 (1)
she has $450 more in the 8% account, hence:
y = x + 450 (2)
Solving both equations simultaneously:
x = 2360, y = 1910
$2360 was invested at 7% and $1910 was invested at 8%.
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the formula for the area of a triangle is a=1/2bh. Kevins answer for the area of this triangle is 40 inches2. is kevins solution not correct? why or why not? if not what was his mistake? if not what is the correct soultion for the triangle?
Please answer as soon as possible
In a case whereby formula for the area of a triangle is A=1/2bh. Kevins answer for the area of this triangle is 40 inches2, then Kevins solution is not correct because the correct solution is 20inches.
How can the area be calculated?The concep[t that will be used is the area of triangle, The area of the triangle can be calculated using
A=1/2bh
where A = area
b = base=5
h= height =8
then A=1/2*8*5= 20 inches
Therefore, the correct area of triangle from the fiqure is 20 inches
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A Patient Needs To Keep Their Blood Sugar Levels Within 10 Milligrams Per Deciliter Of 83 Milligrams Per Deciliter. What Blood Sugar Levels Are Okay For That Patient?
Answer:
The patient's blood sugar levels should stay within the range of 73 to 93 milligrams per deciliter in order to be considered within the normal range. Any blood sugar level below 73 milligrams per deciliter or above 93 milligrams per deciliter should be monitored closely and adjustments may need to be made to their diet or medications.
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The ratio of the length to the breadth of an A4 sheet of paper is √2:1. The area of an A4 sheet of paper is 1/6m². Calculate its length and breath
Answer:
Tthe length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2
Step-by-step explanation:
To calculate the length and breadth of an A4 sheet of paper, we can use the information provided in the problem.
First, we know that the ratio of the length to the breadth is √2:1. This means that for every √2 units of length, there is 1 unit of breadth.
Next, we know that the area of the sheet is 1/6m². To find the length and breadth, we can use the formula for the area of a rectangle, which is length x breadth.
So, we can set up the equation:
(length) x (breadth) = 1/6m²
We can then use the information about the ratio of length to breadth to set up a proportion:
length/breadth = √2/1
Now we can cross-multiply and substitute this proportion into our area equation:
length x breadth = 1/6m²
length x (length/√2) = 1/6m²
length^2 = 1/6m² * √2
length = √(1/6m² * √2)
To find the breadth we can use proportionality again
breadth = length/√2
So, the length of the A4 sheet of paper is √(1/6m² * √2) and the breadth is √(1/6m² * √2) / √2
Suppose this hose reel system were used to model a DNA molecule, a
chromosome, and a gene.
Which part of the model would best represent a gene?
A. The handle that turns the reel
B. The entire length of hose
C. The reel holding the coiled-up hose
D. A specific section of the hose
W
The correct answer is option B.
The entire length of hose
What is a Hose ?Since the early 17th century, primrose and cowslip have been cultivated as Hose in Hose mutants, which exhibit strong homeotic sepal to petal conversion. The S locus, which regulates floral heteromorphy in Primula species, is linked to the phenotypic, which exhibits varying penetrance and expressivity. Here, we show that the primrose B-function MADS box genes PvDef and PvGlo are upregulated in the first floral whorl in association with the homeotic conversion of sepals to petals in Hose in Hose. We have found and characterized a retrotransposon insertion in the PvGlo promoter that is connected to the up-regulated expression of PvGlo, as well as a restriction fragment length polymorphism linked with PvGlo that cosegregates with the Hose in Hose phenotype.
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x,2x+1,11 are three consecutive terms of arithmetic sequence..find X and term5
An arithmetic progression is a set of numbers with a fixed difference between any two succeeding numbers (A.P.). Examples of A.P. include 3, 6, 9, 12, 15, 18, and 21.
What in math are AP and GP?A.P. and G.P. application: A series of terms known as an arithmetic progression (AP) have identical differences. In a geometric progression (GP), the common ratio is multiplied by the previous term to produce each succeeding term.
Given,
a₁ = x
a₂ = 2x + 1
a₃ = 11
a₂ - a₁ = a₃- a₂
(2x + 1) - (x) = 11 - (2x + 1)
2x - x + 1 = 11 - 2x - 1
x + 1 = -2x + 10
2x + x = 10 - 1
3x/3 = 9/3
x = 3
The arithmetic sequence: 3, 7, 11
Common difference: 4
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Help what’s the answer to this question all categories.
Answer:
the answer is diet coke divided by the square root times the 10/4
Step-by-step explanation:
Can someone please help me with this I need to figure out the formula
Answer:
j=19
Step-by-step explanation:
In the image, it shows that the weight of 5 + j is equal to the weight 24. Using this information, let's create a equation and solve for j:
5 + j = 24 [Subtract 5 from both sides]
j = 19
So, j must equal 19 for both sides of the hanger to be equal.
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3
Mathematical Habit 3 Construct viable arguments
Sara bought a total of 20 sausage rolls and chicken pies. Each sausage
roll cost $1.50 and each chicken pie cost $2.50. The chicken pies cost $18
more than the sausage rolls. How many of each item did she buy?
The number of sausage rolls is 8 and the chicken pie is 12.
How many of each item did she buy?
The first step is to form a system of equations using the information in the question:
c + s= 20 equation 1
2.50c - 1.50s = 18 equation 2
Where:
c = number of chicken pies bought
s = number of sausage rolls bought
The elimination method would be used to determine the required values.
Multiply equation 1 by 2.50
2.5c + 2.5s = 50 equation 3
Subtract equation 2 from equation 3:
4s = 32
Divide both sides of the equation by 4
s = 32 / 4
s = 8
Substitute for s in equation 1:
c + 8= 20
c = 20 - 8
c = 12
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