Answer:
(2,0) , (4,-20) and (-1,-1)
Step-by-step explanation:
[tex]4x+y>-6[/tex]
WE need to select an ordered pair that is solution to our inequality
Lets check with each option
(2,0) , plug in 2 for x and 0 for y
[tex]4x+y>-6[/tex]
[tex]4(2)+0>-6[/tex]
[tex]8>-6[/tex] True
(−3, 6), plug in -3 for x and 6 for y
[tex]4x+y>-6[/tex]
[tex]4(-3)+6>-6[/tex]
[tex]-6>-6[/tex] False
(4, −20) , plug in 4 for x and -20 for y
[tex]4x+y>-6[/tex]
[tex]4(4)-20>-6[/tex]
[tex]-4>-6[/tex] True
(0, −9) , plug in 0 for x and -9 for y
[tex]4x+y>-6[/tex]
[tex]4(0)-9>-6[/tex]
[tex]-9>-6[/tex] False
(-1, −1) , plug in -1 for x and -1 for y
[tex]4x+y>-6[/tex]
[tex]4(-1)-1>-6[/tex]
[tex]-5>-6[/tex] True
Final answer:
The ordered pairs that are solutions to the inequality 4x+y>-6 are (2, 0), (4, -20), and (-1, -1) as they satisfy the condition when substituted into the inequality.
Explanation:
To determine which ordered pairs are solutions to the inequality 4x+y>-6, we need to plug the x and y values from each ordered pair into the inequality.
For the pair (2, 0), we substitute x = 2 and y = 0 into the inequality: 4(2) + 0 > -6, which simplifies to 8 > -6. This is true, so (2, 0) is a solution.For the pair (-3, 6), we substitute x = -3 and y = 6: 4(-3) + 6 > -6, which simplifies to -12 + 6 > -6. This gives -6 > -6, which is not true, so (-3, 6) is not a solution.For the pair (4, -20), we substitute x = 4 and y = -20: 4(4) - 20 > -6, which simplifies to 16 - 20 > -6. This gives -4 > -6, which is true, so (4, -20) is a solution.For the pair (0, -9), we substitute x = 0 and y = -9: 4(0) - 9 > -6, which simplifies to -9 > -6. This is not true, so (0, -9) is not a solution.For the pair (-1, -1), we substitute x = -1 and y = -1: 4(-1) - 1 > -6, which simplifies to -4 - 1 > -6. This gives -5 > -6, which is true, so (-1, -1) is a solution.The correct solutions to the inequality are the ordered pairs (2, 0), (4, -20), and (-1, -1).
what is
7x-4=-2x+1+9x-5
The equation 7x-4=-2x+1+9x-5 has infinitely many solutions
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 7x-4=-2x+1+9x-5
We have to take the variable terms on one side and constant on other side
In the given equation x is the variable and plus comma minus are all operators.
We need to solve for x.
7x+2x-9x=1-5+4
9x-9x=0
0=0
So the equation has infinitely many solutions
Hence, the equation 7x-4=-2x+1+9x-5 has infinitely many solutions
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Number 8. Solve the equation for variable d. Correct answer will get brainliest.
I skip counted starting at 70. I never said the number 82 even though I counted beyond it. Which of these numbers could I have been counting by? 2, 5, or 10
Answer:
5 or 10
Step-by-step explanation:
counting by 2's - 70, 72, 74, 76, 78, 80, 82 82 is here, Incorrect
counting by 5's -70, 75, 80, 85, 90 Never said 82, Correct
counting by 10's - 70, 80, 90- Never said 82, Correct
Write an equation of the line that has a slope of 6 and contains (1,1) in point-slope form.
In a simple regression model y = ß0 + ß1x + ε, ß1 represents the ________.
In the regression model, y = β₀ + β₁ x + ε, β₁ represents the slope of the regression line.
What is a regression model?A regression model offers a function that explains the association between one or more independent variables and a response, dependent, or target variable. A linear regression model, for instance, may be used to explain the link between height and weight.
The standard equation of regression model is y = a + bx
The given regression model,
y = β₀ + β₁ x + ε
The coefficient of the x in the regression model shows the slope of the regression line.
Hence, β₁ represents the slope of the regression line.
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What is the remainder when 14,952 is divided by 41
Answer:
the answer is 28 A
Step-by-step explanation:
how to describe and compare a box plot.
Solve for p: 3p-2(p-4) =7p+6
Plz help asap
Thanks
Find the value of x for which p is parallel to q, if m∠1 = (4x) and m∠3 = 100. The diagram is not to scale.
a. 96
b. 25
c. 104
d. 100
7 1/8 - 3 1/2 =? Please help me
If it is Christmas, then it is the 25th of December. Identify the hypothesis and the conclusion of the conditional statement. hypothesis: it is the 25th of December; conclusion: it is Christmas hypothesis: it is Christmas; conclusion: it is the 25th of December hypothesis: it is not the 25th of December; conclusion: it is not Christmas hypothesis: it is not Christmas; conclusion: it is not the 25th of December
Answer:
c
Step-by-step explanation:
Can anyone solve this problem???
One person can complete a typing project in 6 hours, and another can complete the same project in 8 hours. How long will it take the two people working together to complete the project???
Time taken to complete the project if two people worked together is required.
It would taken around 3.4 hours to complete the project if both the people worked together
Time taken to complete the work by first person is 6 hours
Time taken to complete the work by second person is 8 hours
The work equation will be be
[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]
So, it would taken around 3.4 hours to complete the project if both the people worked together.
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Determine the value of y in the equation: -5y-9=-(y-1) (show all work)
The value of y in the equation is -2.5.
Explanation:To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.
Change 56/7 to a whole or mixed number
How to find components of a vector given magnitude and angle?
The components of the vector in rectangular form given magnitude and angle can be found by using the following formulas: [tex]x = \|\vec r\|\cdot \cos \theta[/tex], [tex]y = \|\vec r\| \cdot \sin \theta[/tex].
How to determine the magnitude and angle of a vector
Let be a vector in rectangular form, that is, a vector of the form (x, y). The magnitude can be found by applying the square root of the dot product of the vector or the Pythagorean theorem and the direction is determined by applying inverse trigonometric functions:
Magnitude (linear algebra approach)[tex]\|\vec r\| = \sqrt{(x,y)\,\bullet\,(x,y)}[/tex] (1)
Magnitude (algebra approach)[tex]\|\vec r \| = \sqrt{x^{2}+y^{2}}[/tex] (2)
Directionθ = tan⁻¹ (y/x) (3)
And the components of the vector can be found by applying the following formulas:
[tex]x = \|\vec r\|\cdot \cos \theta[/tex] (4)
[tex]y = \|\vec r\| \cdot \sin \theta[/tex] (5)
The components of the vector in rectangular form given magnitude and angle can be found by using the following formulas: [tex]x = \|\vec r\|\cdot \cos \theta[/tex], [tex]y = \|\vec r\| \cdot \sin \theta[/tex].
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You can find the components of a vector given its magnitude and angle by using the cosine function to find the horizontal component, and the sine function to find the vertical component.
Explanation:To find the components of a vector given its magnitude and angle, you will use basic trigonometric ratio principles. These principles typically involve the use of sine (sin) and cosine (cos) functions.
First, consider a vector V with magnitude (or length) denoted by |V| and an angle θ from the positive x-axis. The components of the vector can be resolved into horizontal (x-direction) and vertical (y-direction) components.
The x-component (Vx) of the vector can be found using the equation:
Vx = |V| cos(θ).
Similarly, the y-component (Vy) of the vector can be found using the equation:
Vy = |V| sin(θ).
These equations are derived from the definitions of the sine and cosine functions in a right triangle, which is formed by the vector V and its components.
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A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that ∠ADC is a right angle and that m∠BDC is 32° greater than m∠ADB. Write and solve an equation to find m∠BDC and m∠ADB
Round .895 to the nearest hundredths
2x + 5 = 10
What is the first operation used in solving this equation?
A) addition
B) division
C) multiplication
D) subtraction
What common angle do CDG AND FCE share?
FBG is congruent to DBE
CEF is congruent to CGD
CDG is congruent to CFE
GCE is congruent to ECG
Answer:
The correct option is 4.
Step-by-step explanation:
From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.
In triangle CDG and triangle FCE
[tex]\angle GCD\cong \angle FCE[/tex]
If the length of two adjacent sides increases, then the inclined angle remains the same.
If the side CD increased to E and side CF increased to G, then
[tex]\angle GCE\cong \angle ECG[/tex]
Therefore option 4 is correct.
What is the length of TW
Answer:
32 units.
Step-by-step explanation:
We have been given a graph of a line segment and we are asked to find the length of line segment TW.
Upon looking at our graph we can see that point U divides segment TW in two equal parts (TU and UW), which means that length of TW will be two times the length of TU or UW.
We have been given the length of TU is 16 units. To find the length of segment TW we will multiply 16 by 2.
[tex]\text{Length of TW}=2\times 16=32[/tex]
Therefore, the length of line segment TW will be 32 units.
12 25 10 38 12 19 8 12 17 41 7 22 10 19 12 16 5 14 find the mean, median, and mode of these weights
3x+1/5y=7 solve for y.
Eliana's calculator displays a number as 5.378 E9.
What is this number in standard form?
Enter your answer in the box.
Answer:
5,378,000,000
Step-by-step explanation:
5.378E9
5.378 x 10^(9)
5,378,000,000
Find the value of k so that the equation has the solution set {-3}
3(2x-1) = x(2-k)
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?
A) AB ≅ CD
B) AC ≅ BD
C) AB ⊥ BD
D) CD ⊥ BD
The additional piece of information is needed to determine that ABDC is a parallelogram is,
⇒ AB ≅ CD
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;
In quadrilateral ABDC,
⇒ AB ∥ CD.
Now,
We know that;
When opposite side of a quadrilateral are parallel and equal to each other, then the quadrilateral are called a parallelogram.
Here, In quadrilateral ABDC,
⇒ AB ∥ CD.
Hence, The additional piece of information is needed to determine that ABDC is a parallelogram is,
⇒ AB ≅ CD
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Which graph represents the solution to the inequality?
The are of a rectangle is 117 square centimeters. The width of the rectangle is 9 centimeters. What is the length of the rectangle?
what is the simplified form of 3abc/abc, when abc does not equal 0? explain using the properties of real numbers
The tubs of yogurt are sold for 75¢ each. Twenty percent of this is profit for the food company. How much profit does the company make on each tub? Show your work
Analyze the statements below and complete the instructions that follow. p: A point has a y-coordinate of zero. q: A point lies on the x-axis. Determine the truth values of the statements