On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answers
Answer:
A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
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The system of linear inequalities of the given points is required.
The system of inequality is
[tex]x-3y\leq -9[/tex]
[tex]3x-y>2[/tex]
Points of the first line
[tex](0,3)[/tex]
[tex](3,4)[/tex]
The equation of the line is
[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]
Let us take a point above this line [tex](2,4)[/tex]
It is also a solid line.
[tex]2-3\times 4=-10<-9[/tex]
So, the inequality is [tex]x-3y\leq -9[/tex]
Points of the second line
[tex](0,-2)[/tex]
[tex](1,1)[/tex]
The equation of the second line is
[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]
Let us take a point towards the right of the line [tex](2,2)[/tex]
[tex]3\times 2-2=4>2[/tex]
Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]
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Related Questions
Anthony is buying a new TV that is 25% off. The original price of the TV was $390.
Which answer gives the best estimate for the TV's price after the discount?
$390
$365
$300
$100
Answers
Answer:
390 well actually 389.75 but still
A line includes the points (-1,0) and (-2,-9). What is its equation in slope-intercept form?
Answers
Answer:
y = -7x -7
Step-by-step explanation:
If (-1, 0) and (-2, -9) are on the same line then that means their slope is the same. We can find slope with (y1 - y2)/(x1 - x2)
(-2 - (-9)) / (-1 - 0) = 7 / -1 = -7
then we can use the formula y = mx + b
we know that forthe first instance y = 0 and x = -1 and m(slope) = -7
0 = -7*-1 + b
0 = 7 + b
b = -7
our formula then becomes y = -7x -7
Is (4, 2) is the solution to the system below?
Explain how you know by recording an audio response or by showing your work.
y=2x-6
x+y=8
Answers
HELP HELP HELP HELP FAST
Answers
Answer:
[I didn't do it right]
Step-by-step explanation:
[Deleted since it has been said to be wrong and I would not like to spread misinformation]
A cell phone is originally priced at $120. The online retailer gives a discount and the cell phone is now priced at $90. Enter the percentage discount for the cost of the cell phone.
Answers
Answer:
25% discount
Step-by-step explanation:
Please help me!!!!!!!!
Answers
On a coordinate plane, what is the distance between the point at (7, 6) and the point at (7, 9)?
Answers
Answer:
-12
Step-by-step explanation:
6+-9 =-12
What is the Algebraic Notation for this reflection?
A (x,y) ---> (y,x)
B (x,y) ---> (-x,y)
C (x,y) ---> (-y,-x)
D (x,y) ---> (x,-y)
Answers
Your y coordinates do not change, but your x coordinates are opposites
Pweeze help and i will give brainliest UwU <3
Answers
Answer:
See below for answers
Step-by-step explanation:
1st blank: 2*2*2*2*2*2*2
2nd blank: 2
3rd blank: 7*7
4th blank: 7
5th blank: no
6th blank: doesn't equal
Find the length of BC. (Decimal Answer)
Answers
Answer:
the answer is 9 1/3 i think the decimal would be 3 repeating
Step-by-step explanation:
help me plz due soon
Answers
CAN SOMEONE PLZ HELP ME
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist fills n cavities, what will be the cost of the visit to the dentist?
Write your answer as an expression.
Answers
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
what is the range of possible sizes for x?
Answers
Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Solve for x. (photo included)
Answers
Dakari makes 2 dozen jars of jam. The total
weight of all of the filled jars is 211.2 ounces.
When empty, each jar weighs 1.2 ounces. The
equation
can be used to calculate the weight, j, of jam in
one jar. The weight of jam in one jar is
Answers
Answer:
a and c for the blanks.
3,6,12,24,_,_
What’s the number pattern
Answers
Answer:
48 and 96...,.................
Answer:
3,6,12,24,48,96
Step-by-step explanation:
multiply by 2.
Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut
Answers
Answer:
14 pieces
Step-by-step explanation:
Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece
= 9 1/3 / 2/3
= 28/3 * 3/2
= 14 pieces
A bag contains 21 coins consisting of nickles and dimes. The total value of the coins is $1.70.
Write a system of equations that models this situation. How many nickels are in the bag?
Answers
Answer:
8
Step-by-step explanation:
x = nickles
y = dimes
0.05x + 0.10y = 1.70
x + y = 21
y = 21 - x
0.05x + 0.10 (21 - x) = 1.70
0.05x - 0.10x + 2.10 = 1.70
-0.05x + 2.10 = 1.70
-0.05x = -0.40
x = 8
Tell whether the ordered pair is a solution of the system of linear equations.
8x+2y=2
2x+y=15
(1,3)
Answers
Answer:
Step-by-step explanation:
8x + 2y = 2
-4x - 2y = -30
4x = 28
x = 7
14 + y = 15
y = 1
(7, 1)
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet
The surface area of the large box is times larger than the small box.
Answers
Answer:
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54
square feet
The surface area of the large box is 4 times larger than the small box.
{So for the first line which is The surface area of each large box is
square feet.}
Ans;216
{The second line which is The surface area of each small box is
square feet.]
Ans;54
{The Third line which is The surface area of the large box is times larger than the small box.}
Ans;4
Thank you So much Hope this helps you! Please Mark Brainleast looking forward to help everyone ty!The surface area of each small box is 54 square feet and each large box is 216 square feet.
What is the area of cube?The formula for the surface area of a cube is 6s, where s is the length of one side.
We are given that Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet.
The surface area of each large box is 216 square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54 square feet
The surface area of the large box is 4 times larger than the small box.
The surface area of each large box = 216 square feet.}
The second line which is The surface area of each small box is
= 54 square feet.
The Third line which is surface area of the large box is times larger than the small box is;
4
Learn more about the area;
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Ava takes care of 6 horses Each horse eats about 85 pounds of feed per year. How many pounds of feed will all the horses eat in 18 months?
A. 114lb
B. 30lb
C. 108lb
D. 765lb
Answers
The answer is A
Explanation:
If a horse eats 85 pounds of horse feed a year that adds up to about 7 pounds a month so if you add it up it equals 114
What is m<1?
A.39
B. 47
C. 51
D. 129
Answers
Oops i accidentally deleted it, but the angle would be 39 degrees :)
How do you find the square root of a number? For example: the square root of 64 or something.
Answers
10 - 2.5x > 35
I need help
Answers
Answer:
x<-10
Step-by-step explanation:
10-2.5x>35
2.5x>10-35
2.5x>-25
x>-25/2.5
x>-10
x<-10
Answer:
x < -10
Step-by-step explanation:
-2.5x > 35-10
-2.5x > 25
-2.5x > 25/-2.5
x > -10
You have to switch the sign because you divided it by negative
x<-10
What is 4.89 + ? = 11.26
Answers
Answer:
The answer is 6.37.
Step-by-step explanation:
Please pick me as brainlest answer
Answer:
6.37
Step-by-step explanation:
11.26 - 4.89 = 6.37
Hope this help ;)
(9x + 7) + (x + 3)
I really don't know.
Answers
Answer:
10x + 10
Step-by-step explanation:
Thank me later
(16x) + (x + 3)
(4)
16x + 4
20x
I think 20x is the answer but I’m probably wrong
HELP I NEED HELP ASAP
Answers
The base charge of a cab in new york is $2.50 as soon as you enter the cab. There is an additional charge of $2.50 per mile traveled. Calculate how many miles you can travel on $20 without giving any tip.
Answers
Answer:
7 miles
Step-by-step explanation:
Write an equation
1)y=3x
2)y=3
3)x=3
4)y=3x+3
Answers
Factor the expression.
3x + 6
The factored expression is
Answers
Answer:
3(x+2)
3x+6
hope it's helpful ❤❤❤❤
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