Answers
The inequality y > 1/2x + 2 and y ≤ -2x - 3 have a solution (-2, 1) and the inequality y < -4x + 2 and y ≥ -2
Graph of Linear InequalityThe solution of a linear inequality in two variables, like Ax + By > C, is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
Solving linear inequalities is the same as solving linear equations; the difference it holds is of inequality symbol.
We solve linear inequalities in the same way as linear equations.
Step 1: Simplify the inequality on both sides, on LHS as well as RHS as per the rules of inequality.
Step 2: Once the value is obtained, we have:
strict inequalities, in which the two sides of the inequalities cannot be equal to each other.
non-strict inequalities, in which the two sides of the inequalities can also be equal.
The inequalities given;
y > 1/2x + 2 ...eq(i)
y ≤ -2x - 3 ...eq(ii)
The solutions to the inequality in the graph is the point of intersection is (-2, 1)
b)
The inequality;
y < -4x + 2 ...eq(i)
y ≥ -2 ...eq(ii)
The solutions to the inequality is (1, -2)
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Related Questions
Drag the tiles to write a numerical expression for the following calculation.
Add 43 and 25, and then multiply by 8.
()×+825
43
Answers
Answer:
( 43 + 25 ) X 8
Step-by-step explanation:
Add 43 and 25, and then multiply by 8.
Which is the slope of the line that passes through the points (−3,1) and (4,-2)?
Answers
Answer:
-3/7
Step-by-step explanation:
you need to find change in y over change in x which is -3/7
Answer:
-3/7
Step-by-step explanation:
Because I passed with 100%
May I please receive help?
Answers
9514 1404 393
Answer:
parallel: y = -7x -44perpendicular: y = 1/7x -8/7Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . . . line with slope m and y-intercept b
For the purpose of this question, you need to recognize that the line with equation ...
y = -7x +8
has a slope (x-coefficient) of -7.
The parallel line will have the same slope (x-coefficient).
The perpendicular line will have a slope that is the opposite reciprocal of this:
m = -1/(-7) = 1/7
Each line will have a y-intercept (b) that makes the line go through the given point. The y-intercept can be found by solving the slope-intercept equation for b:
b = y - mx . . . . . . where (x, y) is the point you want the line to go through
__
parallel line:
b = -2 -(-7)(-6) = -2 -42 = -44
The equation of the parallel line is y = -7x -44.
__
perpendicular line:
b = -2 -(1/7)(-6) = -14/7 +6/7 = -8/7
The equation of the perpendicular line is y = 1/7x -8/7.
Point A and Point B lie on straight line H
Point A has coordinates (3,1) and point B has coordinates (p,21)
The gradient of line H is 5/4. Work out the value of p
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Using the gradient formula, we can find the equation of the line H: y - 1 = 5/4(x - 3). Setting y = 21 and solving for x, we get the value of p is 19.
We can use the formula for calculating the gradient of a straight line:
Gradient = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
We are given the gradient of the line as 5/4, and the coordinates of point A as (3,1). Let the coordinates of point B be (p,21). Then we can write the equation:
(21 - 1) / (p - 3) = 5/4
Simplifying this equation, we get:
20 / (p - 3) = 5/4
Multiplying both sides by (p - 3), we get:
20 = 5(p - 3) / 4
Multiplying both sides by 4, we get:
80 = 5(p - 3)
Dividing both sides by 5, we get:
16 = p - 3
Adding 3 to both sides, we get:
p = 19
Therefore, the value of p is 19.
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A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?
Answers
Answer:
.95-1.05
Step-by-step explanation:
you are able to go above 0.05 or below 1 by 0.05
since it's 95% of 1
Answer:
.05
Step-by-step explanation:
It's simple really. It's finding 5% of 1.
First you change the percent to a decimal. 5%= .05
Next you multiply .05 times 1 which is obviously 1. :)
Pls help, I need this done by 5 pm. I'll give you 10 points
Answers
Answer:
I would say Venti
Step-by-step explanation:
It just 30 cent off
Explain why the equation 4|x| + 30 = 2 has no solution.
Answers
Answer:
the answer will be a negative answer
Step-by-step explanation:
Y=5x
A proportional relationship
Answers
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
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omg help me asap my lesson is timed!
Answers
Answer:
-27w^9
Step-by-step explanation:
Multiply
-3w^8 × 9w
Step 1:
-3 × 9
= -27
Step 2:
w^8 × w¹
Using the law of indices
w^8 × w¹
= w^(8+1)
= w^9
-3w^8 × 9w
= -27w^9
You reverse the inequality symbol when you multiply or divide both sides of an inequality by the same negative number.
True or false?
Answers
Step-by-step explanation:
The statement is true, because when we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Let an example of the inequality as;
⇒ 2x < 3
Multiply by - 1, we get;
⇒ - 2x > - 3
Thus, When we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.
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How do o solve this
Answers
Answer:
Step-by-step explanation:
Im not sure if u need to use shapes, but I will since it says in the example
4x - put it in a square box
2x - also in a square box
3 - in a circle box
1 - in a circle box
combine like terms
4x+2x=6x
3+1=4
6x+4
can someone please help me.
Answers
Need a answer for 15. And explain (geometry) !!
Answers
Step-by-step explanation:
If x and y are integers, then the even number is 2x and the odd number is 2y+1. The product is:
2x (2y + 1)
Distribute the x:
2 (2xy + x)
This product is a multiple of 2, so the number is even.
Contrast the expected instantaneous rate of change r for a geometric Brownian motion stock
price (St) and the expected return (r – 0.5σ2)t on the stock lnSt over an interval of time [0,t].
Describe the difference in words.
The value of a price process Yt = f(Xt,t) (e.g. call option) may depend on another process Xt (e.g., stock
price) and time t:
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The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.
On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.
The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.
In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.
The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.
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Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is
represented by the expression 15 +0.75h.
Complete each statement to describe the terms.
The variable h represents ?
The constant 15 represents ?
The variable term 0.75h represents ?
Answers
The constant 15 represents the initial price charged by Cycle City for bike rental.
The variable term 0.75h represents the additional price charged by Cycle City for each hour of bike rental.
simply the expression
Answers
Answer: The answer is in the picture.
Step-by-step explanation:
If u understand this May u please help me please
Answers
Answer:
y=-(2/3)x-3
Step-by-step explanation:
the daily scrum is an event that happens every day. what would be three concerns if the frequency were to be lowered to every two or three days
Answers
Three problems would arise if the frequency of scrum was lowered to every two or three days.
(A) There may be missed opportunities to examine and amend the sprint backlog.
(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.
(C) Too much time is spent updating the scrum board prior to meetings.
What is a scrum?
Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.
It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.
If the frequency was reduced to every two or three days, there would be three issues.
(A) The chances to review and modify the Sprint Backlog may be missed.
(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.
(C) Too much time is spent before meetings updating the scrum board.
Therefore, three problems would arise if the frequency was lowered to every two or three days.
(A) There may be missed opportunities to examine and amend the sprint backlog.
(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.
(C) Too much time is spent updating the scrum board prior to meetings.
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?????????????? So like anyone know this?
Answers
A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 70% of the original price and then calculates 110% of the sale price. Will Pat's strategy calculate the correct total? Explain the calculations. Will Henri's strategy calculate the correct total? Explain the calculations. Do they each have enough to purchase the game?
Explain your answers using complete sentences and show your work. (10 points)
Your answer:
Answers
Answer:
Step-by-step explanation:
Explanation:
Step one:
The original price of the video game= $28.5
Cash at hand= $22
Discount= 30%
Tax= 10%
1. Pat's strategy
Amount discounted
=30/100*28.5
=0.3*28.5
=$8.55
28.5-8.55
=$19.95
Amount of tax added
=10/100*28.5
=0.01*28.5
=2.85
=17.15+2.85
=$22.8
Hence going by Pat's strategy, the total amount to be paid is
=$22.8
2. Henri's strategy
=70/100*28.5
=0.70*28.5
=$19.95
110% of $28.5
=110/100*28.5
=1.1*28.5
=$31.35
the tax is
31.35-28.5
=$2.85
i. Hence by Henri's strategy, the sales price with tax is
=19.95+2.85
=$22.8
ii. Yes Pat's strategy will compute the correct total,
30% of $28.5 is $8.55 which is the amount to be deducted as a discount
10% of $28.5 is $2.85 which is the amount to be added as tax
Hence the total amount to be paid is $22.8
iii Yes Henri's strategy also gave the correct total
70% of 28.5 is $19.95
110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5
= 31.35, substracting the original price we got the tax added
which is $2.85
iv. No, they both don't have enough money to purchase the video game,
because they only have $22and the game is to be sold for $22.8
Find the maximum rate of change of f at the given point and the direction in which it occurs.
F(x, y, z) = (8x + 5y)/z
(5, 6, -1)
maximum rate of change
direction vector
Answers
The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.
The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.
The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:
∂f/∂x = 8/z
∂f/∂y = 5/z
∂f/∂z = -(8x + 5y)/z^2
Evaluated at the point (5, 6, -1), we have:
∂f/∂x = 8/(-1) = -8
∂f/∂y = 5/(-1) = -5
∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46
So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).
The maximum rate of change of f at this point is given by the magnitude of the gradient vector:
|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.
Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.
To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:
Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).
Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
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help me pleaseeeeeeeeeeeeee!!!!
Answers
-16t^2 = -900
T^2 = 900/16
t = square root (900/16)
t = 7.5 seconds
please help! its a test!! angle 2 = right angle
angles 1 and 5 = ?
angles 1 and 4 = ?
Answers
Answer:
2 =90 so 5 = 90.....opposite angles
what is 10 times much as 0.07
Answers
Answer:
0.07 is 10 times as much as 0.007.
Step-by-step explanation: Because is means equal in mathematics
times means multiplication
so we can make:
0.07 = 10x
x = 0.007
brainliest please?
Answer:
0.7
Step-by-step explanation:
When multiplying decimals by 10, you move the decimal up a placement, making it 0.7.
Hope this helps.
The value of x is:
.
9.
18.
None of these choices are correct.
Answers
Hello!
In the given figure we can see that it is a right angled triangle .
Where,
Base is 9
We have to find the value of x i.e Hypotenuse
Here we are given base and we need to find the Hypotenuse.
Also we have been given the value of theta = 45°
Using trigonometric ratio :
cos \(\theta = \dfrac{ B}{H} \)
As per the question we have hypotenuse = x
Plugging the required values,
\( \cos 45 \degree = \dfrac{9}{x} \)
\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)
further solving by cross multiplication
\(x = 9 \sqrt{2} \)
Hence, The value of x is 9√2
Answer : Option 1
Hope it helps! :)
A company has two manufacturing plants with daily production levels of 6x + 13 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?
Answers
Answer:
The first plant produces 3x+20 more items daily than the second plant.
Step-by-step explanation:
Given that:
Production level of first plant = 6x+13
Production level of second plant = 3x - 7
We will find the difference of both plants manufacture levels.
Difference = First plant - Second Plant
Difference = (6x+13)-(3x-7)
Difference = 6x+13-3x+7
Difference = 3x+20
Hence,
The first plant produces 3x+20 more items daily than the second plant.
laura goes for a cycle from her house to the post office 4km away work out laura's speed cycling to the post office CORBETTMATHS 2016
Answers
ItItItIt takes Laura 15 minutes (0.25 hours) to cycle to the post office.
Speed and timea. It takes Laura 15 minutes (0.25 hours) to cycle to the post office.
b. Speed:
Speed=Distance/Time
Speed=4/0.25
Speed=16 km/hr
c. It takes Laura 20 minutes to cycle to the post office.
d. Time
Time=20 minutes (1/3 hour)
Speed:
Speed=Distance/Time
Speed=4÷1/3
Speed=12 km/hr
Therefore It takes Laura 15 minutes (0.25 hours) to cycle to the post office.
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Please help for section d) 100 points, must show all working and step by step
Answers
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
The cost of purchasing a football helmet and jersey if the helmet costs $11 more than twice the cost of the jersey
Answers
The cost of purchasing a football helmet and jersey is 3x + $11, where "x" represents the cost of the jersey in dollars.
Let's denote the cost of the football jersey as "x" dollars. According to the given information, the cost of the football helmet is $11 more than twice the cost of the jersey.The cost of the helmet can be expressed as: 2x + $11.To determine the cost of purchasing both the helmet and jersey, we add the costs of the individual items together:
Total cost = cost of jersey + cost of helmet
Total cost = x + (2x + $11)
Simplifying the expression:Total cost = 3x + $11
Therefore, the cost of purchasing a football helmet and jersey is 3x + $11, where "x" represents the cost of the jersey in dollars.
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A summary of data that shows the number of observations in each of several nonoverlapping bins is called a(n) _____.
Answers
A summary of data that shows the number of observations in each of several non-overlapping bins is called a histogram.
A histogram is a graph used to visualize the distribution of a dataset. The x-axis represents the different ranges of the data being observed, which are usually called bins. The y-axis displays the frequency or count of data values that fall into each bin.
The shape of a histogram can provide valuable insights into the underlying data distribution. For example, if a histogram is bell-shaped, it indicates that the data follows a normal distribution, which is a symmetrical distribution with most values clustered around the mean. If a histogram is skewed to the left, the data has a long tail on the left-hand side and is concentrated on the right-hand side. If a histogram is skewed to the right, the data has a long tail on the right-hand side and is concentrated on the left-hand side. In conclusion, a histogram is a useful tool for summarizing data and providing insights into its distribution.
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