Answers
Answer:
[tex]y < -3x[/tex]
Step-by-step explanation:
Choose 2 points on the line: (0, 0) and (1, -3)
Let [tex]\sf (x_1,y_1)=(0,0)[/tex]Let [tex]\sf (x_2,y_2)=(1,-3)[/tex][tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-0}{1-0}=-3[/tex]
point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-3(x-0)[/tex]
[tex]\implies \sf y=-3x[/tex]
Solid line : ≤ or ≥
Dashed line: < or >
Therefore as the line is dashed, and the shading is below the line,
[tex]\implies \sf y < -3x[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{6-3}{-2+1}=\dfrac{-3}[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y-3=-3(x+1)[/tex]
[tex]\\ \tt\Rrightarrow y=-3x[/tex]
Equation of the shaded region
[tex]\\ \tt\Rrightarrow y<-3x[/tex]
Related Questions
How many fluid ounces are in 5 cups
Answers
Answer:
40 fluid ounces
Step-by-step explanation:
75°
(2x + 1)°
HELP HAHA
Answers
Answer:
Simplifying
75 = 2x + -1
Reorder the terms:
75 = -1 + 2x
Solving
75 = -1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
75 + -2x = -1 + 2x + -2x
Combine like terms: 2x + -2x = 0
75 + -2x = -1 + 0
75 + -2x = -1
Add '-75' to each side of the equation.
75 + -75 + -2x = -1 + -75
Combine like terms: 75 + -75 = 0
0 + -2x = -1 + -75
-2x = -1 + -75
Combine like terms: -1 + -75 = -76
-2x = -76
Divide each side by '-2'.
x = 38
Simplifying
x = 38
Step-by-step explanation:
!Choose the correct word for the following definitions:)!
An amount that is part of a whole ?
)A,proportion B,unit rate C,Ratio D,Rate
Answers
Answer:A- Proportion
Step-by-step explanation:
A line is represented by the equation y = 3x - 7. Which of the following statements about the line is TRUE?
A. The y-intercept is 7.
B. The "rise over run" is equivalent to
1/3
.
C. The point (1, 4) lies on the line.
D. The line has a positive slope
Answers
Answer: The "rise over run" is equivalent to 1/3
Step-by-step explanation:
Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.
The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b.
Here,
A.
The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.
B.
The "rise over run" is equivalent to 3. Option B is not correct.
C.
point (1, 4) lies on the line.
To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:
y = 3x - 7
4 = 3(1) - 7
4 = -4
Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.
D.
The line has a positive slope.
As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.
Learn more about equations here:
brainly.com/question/10413253
#SPJ3
EASY MATH QUESTION PLEASE HELP:
Answers
Step-by-step explanation:
a, b, c are real number
Then,
Always True statements are -
abc = cbaa(b + c) = ab + ac(b - c)a = ab - acAnswer:
ABC are real numbers
Step-by-step explanation:
Holly opened a savings account at a local bank. She deposited $2,500.00 into the account 5 years ago. If the account earns an annual simple interest rate of 7.1%, how much interest has she earned?
A.
$710.00
B.
$887.50
C.
$762.50
D.
$177.50
Answers
Answer:
The correct answer is B $887.5
Answer:
B.
887.50
Step-by-step explanation:
[tex]si = p \times r \times t \div 100[/tex]
[tex]si \: = 2500 \times 7.1 \times 5\div 100[/tex]
[tex]25 \times 7.1 \times 5[/tex]
[tex] = 887.50[/tex]
Brittany uses a stopwatch to time how long it takes each day for her school bus to travel from her house to school. She finds that the times are distributed normally, with a mean of 21 minutes and a standard deviation of 2 minutes. If there are 180 school days each year, approximately how many times in Brittany's four years of high school will the school bus take more than 27 minutes to travel from Brittany's house to school? A. 18 B. 36 C. 1 D. 4
Answers
Answer:
C
Step-by-step explanation:
We start by calculating the z-score of 27 minutes
Mathematically z-score = (x-mean)/SD
FROM the question, mean = 21 and SD = 2
so z-score = (27-21)/2 = 6/2 = 3
The probability we want to calculate is P(z > 3)
we proceed to the standard normal distribution table to get this
P(z > 3) = 0.0013499
Now seeing this, we want to calculate the number of days.
Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days
The number of days in which the school bus took more than 27 minutes will be ;
720 * 0.0013499 = 0.971928 which is approximately 1
Answer:
C.1
Step-by-step explanation:
On edmentum this is correct.
Can anyone tell me a step by step of this or how u got the answer
Answers
Answer:
Translation Followed by Rotation
Step-by-step explanation:
Figure 1 is Translated to the right, becoming figure 2. Figure 2 is then rotated to become figure 3.
Hope it helped :)
The perimeter is 40 ft and the length is 12 ft what is the width
Answers
Answer:
40-24=16 16/2 = 8
Step-by-step explanation:
The width is 8 ftWork out the size of angle x.
х
65°
45 °
Answers
Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
What is 2 and 3 mix together?
Answers
Answer:
if you mean by addition its 5 and if its multiplication then its 6
Step-by-step explanation:
Plz help!
6y + 2 = 9y + 14
Solve for y.
Answers
Answer:y=-4.6667
Step-by-step explanation:
Answer: y= -4
Step-by-step explanation:
6y + 2 = 9y + 14 Subtract 2 from both sides
-2 -2
6y = 9y + 12 Subtract 9y from both sides
-9y -9y
-3y = 12 Divide both sides by -3
y= -4
what the algebraic rule for a dilation with a scale factor of 3
Answers
Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
The after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
What is Dilation?
A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].
Given is a algebraic rule for a dilation with a scale factor of 3.
Suppose that we have a point P(x, y) which is dilated by the
scale factor of 3. Now, after dilation of the coordinate, the final coordinates of that point P(x, y) will become P'(3x, 3y). If the scale factor would have been less than one the point will contract.
Therefore, the after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).
To solve more questions on dilations, visit the link below-
https://brainly.com/question/15162911
#SPJ2
A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. A = b = c = d = e =.
Answers
The value of A is 7, the value of B is 31, the value of C is 28, the value of D is 13, and the value of E is 65.
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}. Venn diagrams are a representation of the sets by the diagram.
A group of 65 baseball players was surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram.
The table is shown below.
More about the sets link is given below.
https://brainly.com/question/8053622
Answer:
Step-by-step explanation:
A=7 B=31 C=28 D=13 E=65
Discuss the steps that you used to create your tangent line in #1. What was the most important step? Your discussion should be a minimum of three sentences
Answers
To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.
We need to take the following steps in order to build a tangent line:
We start by locating the curve point to which we want to locate the tangent line. Say, these points are [tex]x_1[/tex] and [tex]y_1[/tex]The slope (m) of the curve at that point is then determined by taking the function's derivative. The slope displays the function's rate of change at that precise location. The equation of the tangent line is then created by entering the coordinates of the point and the slope using the line's point-slope form. This equation is as follows: [tex]y - y_1 = m (x - x_1)[/tex]Hence, the above three steps are crucial to create a tangent line.
Learn more about tangent line here:
https://brainly.com/question/34259771
#SPJ12
Pharaoh has 240 color pencils. Of those pencils, there are red pencils and green ones. The numbers of red pencils are three times as many as the green pencils. How many red pencils?
Answers
Answer:
80 red pencils
Step-by-step explanation:
240/3=80
Maria has already written 2/5 of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay? please i just want to know how to get 3/5
Answers
Answer:
167 minutes
Step-by-step explanation:
i took the test this was right
hope this helps!
Answer:
I think the answer would be 1000 x 2 Over 5 divided by 13 Over 2
Step-by-step explanation:
Sorry if I'm wrong I'm in the test
Denisa’s savings account balance increased from $50 to $80. By what percentage did the balance increase?
Answers
Answer:
Step-by-step explanation:
All you have to do here is divide 80 by 50.
80/50 = 8/5 = 1.6
Therefore if you convert this into a percentage:
1.6 = 160%
This means that her balance increased by 160%.
Can you describe the pattern of the number of dots as a function of the Picture number? Tell how you got your
answer.
Answers
Answer:
In order to describe the pattern of the number of dots as a function of the picture number you have to take the average values of each number and find the line of best fit between each dot. This gives you a function, such as, f(x) = mx+b.
_______fraction of rupee one is 25 paise
Answers
Answer:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
Step-by-step explanation:
The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).
-7 2/3+ -5 1/2+8 3/4
Answers
Answer:
-4 5/12
Step-by-step explanation:
Slope of 2 and y-intercept of −7
Find the equation of the line in slope-intercept form.
Answers
Answer:
y=2x-7
Step-by-step explanation:
2 would equal M because m is your slope.
-7 would be your y intercept
following y=mx+b
The required equation of the line is given as y = 2x -7.
Given that,
The slope of 2 and y-intercept of −7
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The equation of the line is given as.
y = mx + c
Substitute the value in the equation,
y = 2x - 7
Thus, the required equation of the line is given as y = 2x -7.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
WEDDING There were a total of 180
guests at a wedding. Of those guests,
37 ordered fish and 60 ordered
chicken. If the remainder of the
guests ordered steak, how many
ordered steak?
Answers
83 people ordered steak
Graph the inequality: 2x+y>4
Answers
Step-by-step explanation:
Took the test! Good luck
sure thing but first start off by creating the function that we want to plot but isolating y.
y>-2x+4
Technically we are graphing the line of equation y=-2x+4 and finding the values where y>-2x+4
Now using the original equation;
2x+y>4
let's take the origin (0,0) as our reference.
substitute the values in the equation
2(0)+0>4
0>4
False, then this part of the graph is rejected and we want to take the other side :P
Help Help :(:(:(:(:(:(
Answers
Answer:
Kuroo Here!
Step-by-step explanation:
What do you need help with?
A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many unit cubes as she can. How many unit cubes are left over?
Answers
Answer: There’s 2 cubes left
Step-by-step explanation:
100 divided by 7 is 14 . 7 • 14 = 98100-2 , She is left w a remaining of 2 unit cubes . Meanwhile each table receives 14 marbles each .
The cost of laying wood floors consists of a base price of $250, plus $3.50 for each square foot installed. Define the variable
Let s = the base price of laying wood floors
Let s = the cost of each square foot
Let S = each square foot of wood installed
Let s = $250
Answers
Answer:
Let s = each square foot of wood installed
Step-by-step explanation:
Total cost of laying wood = base price + price for each square foot installed
Base price = $250
Price for each square foot installed = $3.50
Let
s = number of each square foot installed
Total cost of laying wood = $250 + $3.50s
The correct answer is
Let s = each square foot of wood installed
Wesley always estimates his grocery store total as he shops. while at silver street groceries this morning, he estimated his total purchase would be $50, but it was actually $46.10. what is the percent error for his estimate?
if necessary, round your answer to the nearest tenth of a percent.
Answers
Answer:
The answer is 8.5
Step-by-step explanation:
50-46.10=3.9
you then divide 3.9 by 46.10 and you get 0.0845...
so you estimate and get your answer
The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.
What is Percentage?Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.
Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.
Percentage is a dimensionless number because it has no measurement units.
The percent error can be calculated by the formula,
Percent error = [(Estimated value - Actual value)/ actual value] × 100
Estimated total purchase of groceries by Wesley = $50
Actual total purchase made by Wesley = $46.10
Percent error = [(50 - 46.10) / 46.10] × 100
= (3.9 / 46.10) × 100
= 0.0846 × 100
= 8.46%
≈ 8.5%
Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.
To learn more about Percent Error, click on the link given below:
https://brainly.com/question/3105259
#SPJ2
Can anyone solve this correctly?
Answers
Answer:
21.06 square feet
Need help please fast
Answers
As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;
[tex]{:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}[/tex]
[tex]{:\implies \quad \sf 4x-4+3x+1+y=13x-8}[/tex]
[tex]{:\implies \quad \sf y+7x-3=13x-8}[/tex]
[tex]{:\implies \quad \sf y=13x-8-7x+3}[/tex]
Collecting like terms :
[tex]{:\implies \quad \sf y=(13x-7x)+(-8+3)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}[/tex]
Hence , the length of Missing side is 6x-5