Find the system of inequalities which represents the shaded region on the coordinate plane.
A)y> 2x² + x and y> 1 + x
B)y > 2x² + x and y> 1 - x
C)y> 2x²- x and y> 1 + x
D)y > 2x² - x and y > 1 - x
Answers
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist
Related Questions
A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.
Answers
Answer:
I'm gonna get more people here
Answer:
50 hz yw pplz
Step-by-step explanation:
∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.
Answers
Answer:
157 degrees
Step-by-step explanation:
A linear pair is 180 degrees.
180-33 = 157
Answer:
m∠1 = 147°
Step-by-step explanation:
Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.
180°-33°=147°
3
2
Show gred
1
16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
- x2. on
sin - cos - tan-
+ - X + / +
log-e? 10
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10n
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Answers
Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube
Answers
Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]
Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative
Answers
Answer:
I think that it is negative
Step-by-step explanation:
What is 2 1/2 feet to inches?
Actual question:
1 foot=12 inches
2 1/2 feet= blank inches
IREADY!!
thanks :)
Answers
Explanation: since there is 2 feet you do 12x2. This gives you 24. Then since there is a half foot and a half foot is equal to 6 inches you add that to your 2 feet (24 inches) to get 2 1/2 feet or 30 inches. Hope this helps have a nice day!!!
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answers
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers
Answers
Answer:
the y co-ordinate > 9
Step-by-step explanation:
I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!
Hope this helps!
pleaseee I need help
Answers
Answer:
whith whut
Step-by-step explanation:
Equa
Problem 1
3z - 4 = 52 - 12
Answers
Answer:
z=44/3
Step-by-step
Subtract the numbers 52-12=40
3z-4=40
Add 4 to both sides
3z-4+4=40+4
SImplify
3z=44
Divide both sides by 3
3z/3 = 44/3
z=44/3 or decimal form= 14.66
If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answers
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!
Answers
I believe this is the answer if you need it in this order.
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answers
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
In the diagram below what is the approximate length of the minor arc XY
Answers
Help I will give brainliest
Answers
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answers
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer:
unit price for 11.3-ounce package = $0.25
unit price for 27.8-ounce package = $0.23
27.8-ounce package is the better buy
Step-by-step explanation:
An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
a) 11.3-ounce package
11.3 ounces = $2.88
1 ounce = $2.88 ÷ 11.3
1 ounce = $0.25
b) 27.8-ounce package
27.8 ounces = $6.48
1 ounce = $6.48 ÷ 27.8
1 ounce = $0.23
$0.25 > $0.23
Parallel to the line y=-3x + 5 passes through (-4,5)
Answers
Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
In △BCD, H is the centroid. If HF=6 find BF.
Answers
Answer:
18
Step-by-step explanation:
The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex
So HF=⅓BF
So BF=3xHF=3x6=18
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?
Answers
A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?
Answers
Answer:
1650
Step-by-step explanation:
75x22+1650
Find the percent as a fraction. Simplify if possible.
33 1/3%
Answers
Answer:
The answer would be 100/3
Step-by-step explanation:
Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!
what is order of operations for 20-5x2+6
Answers
Answer:
multiply, add, then subtract so your answer should be 4
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(please excuse my dear aunt sally)
How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10
Answers
Answer:
The answer is B) 1
Step-by-step explanation:
balls
how do I know how many extraneous solutions there is
Answers
Answer:
how do u know how many extraneous solutions there is?
Step-by-step explanation:
To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.
Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes
Step-by-step explanation:
Please can I have brainliest I need one more to rank up
Please help I’ll number 12!
Answers
Answer: y = -3/4x - 0.75
Step-by-step explanation:
The slope needs to be negative so that it's perpendicular to
y = 3/4x - 1
The equation then looks like this
y = -3/4x
We can get an exact y intercept number by using the cordinates
Lets input cordinates (3,-3)
-3 = -3/4(3)
-3 = -2.25 - 75 ( I inferenced )
-3 = -3
now that we got the y intercept lets put it all together
y = -3/4x - 0.75
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answers
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answers
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
Please help please help,! :( this is urgent!
Answers
Answer: A
Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A
One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)
Answers
Answer:
The recent role of the greenhouse effect
Step-by-step explanation: