Which system of inequalities is shown in the graph?
&
A. y 2 X+1
yzx-3x
B. ys X+1
ys 2-3x
O C. ys x+1
yz x2-3x
O D. ys-x+1
ysx2-3x
Answers
Answer:
A
Step-by-step explanation:
because when i dentify graph theres y an x
The feasible region of the result is defined by the system of inequalities.
Correct response:
The system of inequalities shown in the graph is given by the option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Methods used to find the system of inequalitiesPlease find attached the possible graph of the inequality
The possible graph obtained from a similar question has a straight line portion and a quadratic portion.
Points on the straight line are; (0, 1), (3, 4), and (5, 6)
Therefore;
[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]
Equation of the line is; y - 1 = 1 × x
Therefore;
y = x + 1
The shaded region is below the line which gives;
y ≤ x + 1Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).
The general form of a quadratic equation is; y = a·x² + b·x + c
Therefore, we have;
0 = a × 0 + b × 0 + c
Which gives;
c = 0
4 = a × 4² + b × 4 = 16·a + 4·b
-2 = a × 2² + b × 2 = 4·a + 2·b
4 = 16·a + 4·b...(1)
-2 = 4·a + 2·b...(2)
Multiplying equation (2) by 2 and subtracting from equation (1) gives;
2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b
-4 = 8·a + 4·b
4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a
8 = 8·a
[tex]a = \dfrac{8 }{8} = 1[/tex]
a = 1
-2 = 4 × 1 + 2·b
2·b = -2 - 4 = -6
[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]
Which gives;
y = 1·x² - 3·x = x² - 3·x
The line is a solid line and shaded region is the region under the graph which gives;
y ≤ x² - 3·xTherefore;
The inequalities in the graph are given by option B.
B. y ≤ x + 1
y ≤ x² - 3·x
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Related Questions
find the area of circle having its radius 15cm
Answers
Answer:
A≈706.86
Step-by-step explanation:
welcome to brainly
Answer:
Let π =22/7
area of circle = πr²
= 706.86
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
surface area of cylinder
Answers
Answer:
The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].
Step-by-step explanation:
To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].
Identify the correct statement for the given figure.
Answers
Answer:
B
Step-by-step explanation:
b/c the figure is right angle
Answer:
[tex]x = \frac{83}{7} [/tex]
Step-by-step explanation:
5x+(2x+7)=90
7x+7=90
7x=90-7
7x=83
x=83/7
x=11.857
what's the rational approximation of 15
Answers
Answer:
15 / 1
hope that helps uh...☺
4.
Find the inverse of A if it has one, or state that the inverse does not exist.
Answers
Answer:
Hello,
[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]
Step-by-step explanation:
See jointed file
The inverse of the matrix A is
[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]
What is a matrix?A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.
We have,
[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]
The matrix A is a square matrix and its determinant is not zero.
So the inverse exist.
The inverse of matrix A.
We will change the rows into columns and columns into rows.
So,
[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]
Thus,
The inverse of the matrix A is given above.
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Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?
Answers
Answer: Sheldon has made 50 cookies
Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50
The number of cookies made by Sheldon will be equal to 50.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.
Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.
Twenty divided by two equals 10 because the third one is only half full.
There are ten cookies on the third tray.
The total is,
20+20+10 = 50.
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A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?
Answers
Answer:
7/12
Step-by-step explanation:
3*4=12. 4/12+3/12=7/12.
Answer:
5/12
Step-by-step explanation:
you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12
pls help me ASAP !!!!!!!!!
Answers
if sum of two no is 21 and sum of their square is 256 find the number
i.e x+y=21
x²+y²=261
find value of x and y
Answers
Step-by-step explanation:
you're going to solve for y in the first equation and then substitute it in for the second equation and solve.
Amanda rented a bike from Ted's Bikes.
It costs $10 for the helmet plus $4.25 per hour.
If Amanda paid about $33.38, how many hours did she rent the bike?
a) Let h = the number of hours she rented the bike. Write the equation you would use to solve this problem.
Answers
Answer:
≈ 5.51 hours
Equation: 4.25h + 10
The number of hours Amanda rented the bike is 5.5 hours.
The equation used to solve this problem is 33.38 = 10 + 4.25h.
The rent cost for the helmet is $10.
The rent cost for the bike per hour is $4.25.
We need to find the number of hours Amanda rented the bike as she paid $33.38 in total.
We also have to make an equation that would solve this problem.
Consider h = number of hours Amanda rented the bike.
The cost for renting the helmet = $10.
And rent cost for the bike per hour = $4.25.
Amanda's total cost = Helmet rent cost + bike rent cost
Since we do not know the number of hours the bike was rented we will denote bike rent cost = $4.25 x h
We have,
$33.38 = $10 + $4.25 x h
33.38 = 10 + 4.25 x h
33.38 - 10 = 4.25 x h
23.38 = 4.25 x h
h = 23.38 / 4.25
h = 5.5011
Rounding to the nearest tenths we get,
h = 5.5 hours
The number of hours Amanda rented the bike is 5.5 hours.
The equation used to solve this problem is 33.38 = 10 + 4.25h.
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PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
If A is directly proportional to B and B = 5 when A = 6.
(a) Find the value of B when A=4.
(b) Find the value of A when B = 2.
(c) Sketch the graph of A against B.
Answers
Answer:
good question
but I don't know
please I am so sorry
Pls help answer, also explain. I will give brainliest
Answers
Answer:
8 lb box
Step-by-step explanation:
Find which laundry detergent has a lower unit price
The unit price is how much something costs for a single unit
In this case, it is how much the detergent costs for 1 pound
7.4/8 lbs = 0.925 dollars per lb
5.38/4 lbs = 1.345 dollars per lb
Since 1.345 > 0.925, the 8 lb box is a better buy
Case 1
Cost of 8 pound detergent = $7.40
So, cost of 1 pound detergent
= $7.40 ÷ 8
= $0.925
Case 2
Cost of 8 pound detergent = $5.38
So, cost of 1 pound detergent
= $5.38 ÷ 4
= $1.345
$0.925 < $1.345
$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box
So, buying the 8 pound box is better.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answers
Answer:
4
Step-by-step explanation:
Geometry, please answer question ASAP
Answers
9514 1404 393
Answer:
D. 180°
Step-by-step explanation:
The letter S is symmetrical about its center. The letter looks the same when it is rotated 180° about its center.
i think i got the hang of it but i still need help
pls help !
Answers
Answer:
50
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
since one of the angle is given as 80 the remaining is 100
The given is an isosceles triangle which means two of its side length and so its angles are equal in measure so 100/2 = 50
Answer:
4/5 t
Step-by-step explanation:
why?
80%xt by definition of p%=p/100
80/100t
80/100t reduce the fraction with 20
so the answer is;
4/5 t
Hope it helps
What is the greatest common factor of 15n^5, 30n^3, and 45n^2
Answers
Answer:
15n^2 as it the highest expression that is common among these three.
Not quite sure how to solve
Answers
Solving inequalities and graph it's solution
Answers
Step-by-step explanation:
answer is 10 am i right plzz correct it
A group of friends is addressing wedding invitations. Casey can address 22 envelopes in one hour, Anne can address 48 envelopes in two hours, and Paula can address 62 envelopes in three hours. About how long will it take them to address 420 envelopes?
A.
19.09 hours
B.
22.00 hours
C.
7.24 hours
D.
6.30 hours
Answers
Answer:
D
Step-by-step explanation:
Let's say that we have x amount of hours.
Casey addresses 22 envelopes per hour. Another way of writing this is that for x hours, Casey addresses 22 envelopes. Therefore, given x hours, Casey addresses 22 * x envelopes.
Anne can address 48 envelopes in 2 hours. It is important to note that this is for 2 hours. To make this per 1 hour, we can write
48 envelopes = 2 hours
divide both sides by 2
24 envelopes = 1 hour.
Therefore, given x hours, Anne addresses 24 * x envelopes.
Paula can address 62 envelopes in 3 hours, so
62 envelopes = 3 hours
divide both sides by 3
62/3 envelopes = 1 hour
Given x hours, Paula can address 62/3 * x envelopes.
Adding all of these up, given x hours, the group of friends can address
22 * x + 24 * x + 62/3 * x envelopes. Because the variables are all the same (x), we can add up the coefficients, resulting in
(22 + 24 + 62/3) * x = (46 + 62/3) * x envelopes given x hours
We want to figure out the amount of hours (x) for 420 envelopes. The total amount of envelopes is equal to (46 + 62/3) * x, so we set 420 equal to that, resulting in
(46 + 62/3) * x = 420
divide both sides by (46 + 62/3) to isolate x
420 / (46 + 62/3) = x
= 6.3 hours
i need help again.lol
Answers
Answer:
[tex]13\ units[/tex]
Step-by-step explanation:
One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points which one needs to find the distance between. In this case, these points are as follows:
[tex]k\ (-3,5)[/tex]
[tex]j\ (-8, -7)[/tex]
Substitute these points into the formula and solve for the distance between these points,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2[/tex]
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
Simplify,
[tex]D=\sqrt{((-3)-(-8))^2+((5)-(-7))^2[/tex]
[tex]D=\sqrt{(-3+8)^2+(5+7)^2[/tex]
[tex]D=\sqrt{(5)^2+(12)^2[/tex]
[tex]D=\sqrt{25+144}[/tex]
[tex]D=\sqrt{169}[/tex]
[tex]D=13[/tex]
Please help me find x
Need help fast!!
Answers
Answer:
x = 100°
Step-by-step explanation:
p and q are parallel lines. Construct line 'l' parallel to p and q
a = 30° {p// l when parallel lines are intersected by transversal alternate interior angles are congruent}
c +110 = 180 {linear pair}
c = 180 - 110
c = 70°
b= c {q // l when parallel lines are intersected by transversal alternate interior angles are congruent}
b = 70°
x = a + b
x = 30° + 70°
x = 100°
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
Answers
9514 1404 393
Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
Một lớp có 40 học sinh gồm học sinh giỏi, học sinh khá , và học sinh trung bình , số hs trung bình chiếm 1/4 cả lớp , số hs khá bằng 60% số học sinh còn lại a) tính số học sinh mỗi loại B) tổng số hs khá và giỏi chiếm bao nhiêu phần trăm trong lớp
Answers
Answer:
Đổi 60% = 3/5
a) Số học sinh trung bình là: 40 * 1/4 = 10 (hsinh)
Tổng số hsk và hsg là: 40 - 10 = 30 (hsinh)
Số học sinh khá bằng 60% số học sinh còn lại nên số hsk là:
30 * 60% = 18 (hsinh)
Số học sinh giỏi là: 30 - 18 = 12 (hsinh)
b) Tổng số hs khá và giỏi chiếm số phần trăm trong lớp là:
30 : 40 * 100 = 75%
Mrs. hilt baked 7 dozen cookies and sold them for $4.25 per half dozen. how much money would Mrs. Hilt make if she sold all the cookies?
Answers
Answer:
59.5
Step-by-step explanation:
Half dozen = $4.25
Full Dozen = 2 X (4.25)
= 8.5
7 Dozens price = 7 X 8.5 =
= $59.5
Answered by Gauthmath
please help me with this trigonometric ratio/terminal arm question, giving brainliest!
Answers
Let's make some smores! Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answers
Answer:
3 chocolate bars and 2 graham crackers
Step-by-step explanation:
8 times 3 equals 24
12 times 2 equals 24
Is the answer option c?
Answers
Answer:
yes
Step-by-step explanation:
f(x) = x^2 -1
Hope it helps!!
What are the solutions of the following system?
Answers
Answer:
(0,-5) and (-4,3) are the points to the equations.
Step-by-step explanation:
Solution:
Step 1: Make an equation for y to substitute to the first equation.
x^2+y^2=25
y=-2x-5
Step 2: Substitute the y-value to the first equation.
x^2+(-2x-5)^2=25
x^2+4x^2+20x+25=25
Our x-values would be 0, and -4.
Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.
y=-2(0)-5=-5 and makes the ordered pair (0,-5)
y=-2(-4)-5=3 and makes the ordered pair (-4,3)
Therefore our answers would be (0,-5) and (-4,3)
Answer:
(-4;3), (0;-5)
Step-by-step explanation:
Independent Practice
Which model is most appropriate for the set of points?
(–2, 5), (–1, –1), (0, –3), (1, –1), (2, 5)
A.
exponential
B.
linear
C.
quadratic
