Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2
Answer:
first choice: y≥1/3 x+3 and 3x-y>2
Step-by-step explanation:
The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
The orange lineThe equation of the orange line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]
[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]
[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]
Open the bracket
[tex]y = \frac{1}{3}x -1 + 4[/tex]
[tex]y = \frac{1}{3}x + 3[/tex]
The inequality has a thick line, and the upper region is shaded.
So, the inequality is:
[tex]y \ge \frac{1}{3}x + 3[/tex]
The gray lineThe equation of the gray line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]
[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]
[tex]y = 3 \times (x -1) + 1[/tex]
Open the bracket
[tex]y = 3x -3 + 1[/tex]
[tex]y = 3x -2[/tex]
The inequality has a dotted line, and the right region is shaded.
So, the inequality is:
[tex]y < 3x -2[/tex]
Rewrite as:
[tex]3x -2 > y[/tex]
So, we have:
[tex]3x -y > 2[/tex]
Hence, the system of linear inequalities is:
[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
Read more about system of inequalities at:
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I really need help on this :(
Dilation means to increase the size of something. We can see that the radius of the circle increases by five from circle one to circle two; therefore the rule applied is:
(x, y) -> (x + 5, y + 5)
Write an equation of the line that
passes through (-1,2) with a slope
of 4
Answer:
y = 4x - 6
Step-by-step explanation:
(1, -2) ; Slope (m) = 4
Equation of the line : y - y₁ = m(x - x₁)
y - [-2] = 4(x - 1)
y + 2 = 4x - 4
y = 4x - 4 - 2
y = 4x - 6
Which one should I choose
Answer:
i believe its 9 too
Step-by-step explanation:
Which grows faster as x increases, x³ or 3^x? Explain.
Answer:
exponential functions are always the quickest to grow
3^x
Step-by-step explanation:
what is a dynamic Rectangle ?
Answer:
A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry.
Step-by-step explanation:
Aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge's books.
Answer:
A dynamic rectangle is a right angled four sided with dynamic symmetry
2x^2+2y^3-6xy + 2x^2+5y^3+12xy
Answer:
4x^2 + 7y^3 + 6xy
Step-by-step explanation:
2x^2+2y^3-6xy + 2x^2+5y^3+12xy
2x^2 + 2x^2 = 4x^2
2y^3 + 5y^3 = 7y^3
-6xy + 12xy = 6xy
What is the equation of the line that has a slope of 0 and a y-intercept of -2/3
Answer:
[tex]y = x - \frac{2}{3} [/tex]
from
[tex]y = mx + c[/tex]
Step-by-step explanation:
since the gradient of the line is 0
please help asap!:) Thank you!
Answer:
(f + g)(3) = 9
Step-by-step explanation:
Given:
f(x) = x² + 1
g(x) = x - 4
Required:
(f + g)(3)
SOLUTION:
✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:
f(3) = (3)² + 1 = 9 + 1
f(3) = 10
✔️Find g(3) by substituting x = 3 into g(x) = x - 4:
g(3) = 3 - 4
g(3) = -1
✔️Find (f + g)(3):
(f + g)(3) = f(3) + g(3)
= 10 + (-1)
= 10 - 1
(f + g)(3) = 9
need help asap!! !! !!
Answer:
18
Step-by-step explanation:
since U is the midpoint of QT, QT = 2(QU)
similarly, QS = 2 (QR)
because QR is parallel to QS and QU is parallel to QT, triangle QUR is similar to triangle QTS. therefore, the scaling factor between QT/QU and QS/QR is equal to the scaling factor between RU and ST.
therefore,
ST = 2(RU)
36 = 2(RU)
18 =RU
A butterfly starts at 20 m and changes -16 m?
Answer: 4m
Step-by-step explanation:
20-16= 4
add units
20m - 16 m= 4m
2) The sum of two number is 27. The difference of the numbers is 15. Which represents
one of the numbers
A) 26
B) 4
C) 22
D) 6
Answer:
6 because 6+15=21 and 21+6=27
5(9+d) -6 when d=3 hjvbvb
Hey there!
If d = 3 then substitute where “d” is at, now let’s work out the equation!
5(9 + 3) – 6
• DISTRIBUTE:
5(9) + 5(3)
5(9) = 45
5(3) = 15
• NEW EQUATION:
45 + 15 – 6
45 + 15 = 60
60 – 6 = 54
Answer: 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
SIDE NOTE:
You could use PEMDAS to solve this as well.
Here’s what it means ⬇️
• Parentheses
• Exponent
• Multiplication
• Division
• Addition
• Subtraction
Text-to-Speech
13. Evaluate the expression 3x2 + 5y for x = 4 and y = 2.
Answer: (58)
Step-by-step explanation:
3(42)+(5)(2)
=(3)(16)+(5)(2)
=48+(5)(2)
=48+10
=58
$700 is invested for a year. If the yearly interest rate
is 4.5%, how much interest is earned in one year?
Answer:
the interest amount is $31.50
Step-by-step explanation:
700 multiplied by 0.045 =31.5
Simplify the following 3x²y⁴ × 2x⁶y
Answer:
6xpower 8 y power 7
Step-by-step explanation:
Charlotte bought 16 songs. three-fourths of the songs are pop songs. How many songs are Pop Songs?
Answer:
12
Step-by-step explanation:
hope it helps!!!! good luck!!!!
Answer:
12
Step-by-step explanation:
You take 16 divided 4 and get 4 then 3/4 is 4*3
Choose as many answers as apply.
Some things you may be able to borrow from the public library for free include:
audio tapes or CDs
sports equipment
video tapes for your VCR
magazines and books
Answer:
Hello, Your answer is Audio tapes/ CDS, Magazines and books
Sports equipment is something you Will Not find In the library.
Most librarys Do Not have VCR tapes
Hopes this helps
answer :
audio tapes or CD'svideo tapes for your VCR
magazines and bookssports equipment
Done
AA
savvasrealize.com
46 astigment
ratiquent is past 6 (01/09/21 116
Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 5 more than three times the length of the
bottom of the triangle. The last side is 3 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?
(Simplify your answer.)
Answer:
Expression for perimeter of triangle = 5x+8
Step-by-step explanation:
Given that:
Length of bottom of triangle = b = x
Length of other side = a = 3x + 5
Length of last side = c = x + 3
Perimeter of triangle = a + b + c
Perimeter = (3x+5)+x+(x+3)
Perimeter = 3x+5+x+x+3
Perimeter = 5x + 8
Hence,
Expression for perimeter of triangle = 5x+8
The chart below shows conversion between gallons in fluid ounces what is the missing value in the table?
Answer:
768
Step-by-step explanation:
a gallon = 128 fluid ounces so 6 gallons would be 768 fluid ounces
Answer:
Step-by-step explanation:
help me pls it’s due today
Answer:
Step-by-step explanation:
i divide all by 4
=-(5z+6)=-5z-6
PLEASE HELP Find the common difference in a arithmetic sequence and the next three terms Numbers: 20,10,0,-10,_,_,_
Answer:the common difference is 10
The answer is -20,-30,-40
Step-by-step explanation:
Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reasonable estimate of the solution to this system of linear equations?
Step-by-step explanation:
We have y = 9x - 70 and y = 2x - 32.
=> 9x - 70 = 2x - 32
=> 7x = 38
=> x = 38/7 which is around 5.43.
Answer:
Equations are :--- y = 9x – 70 and y = 2x – 32
Substituting the value of y, we get
[tex]9x - 70 = 2x - 32 \\ 7x = 38 \\ x = \frac{38}{7} \\ \boxed{x = 5.43} \\ y = 9x - 70 \\ y = 9( \frac{38}{7} ) - 70 \\ \boxed{ y = - 21.14}[/tex]
The graph shows the amount of water in a bathtub starting at 10:00 pm. Select all true statements.
A) The tub was filling faster at 10:14 pm than at 10:01 pm.
B) At 10:06 pm, the tub was neither filling nor draining
C) The maximum amount of water in the tub was about 35 gallons.
D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm.
E) It took 4 minutes for the tub to drain.
PLZ I NEED HELP
Answer:
A, B, and C
Step-by-step explanation:
The true statements are B, C and E.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a graph of the amount of water in a bathtub with respect to time.
A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.
The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.
So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.
B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.
C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.
D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.
E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.
Hence the correct statements are B, C and E.
Learn more about Slope here :
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3x^2-19x-20=0 solve
plssssssssssssssssssssssssss
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line. (3.10)
What Is the area of a rectangular board whose dimensions are 1.67 m by 9.35 m?
Answer:
15.6145 meters squared
Step-by-step explanation:
multiply the 2 together
Answer:
15.6145
Step-by-step explanation:
11.
There are 731 Lego pieces in
each set. A case contains 144
sets of Legos. How many Lego
pieces are in a whole case?
A jar has one red, one orange, one yellow, one green, one blue, and one purple marble in it. Wha
probability of selecting a purple marble?
the probability would be
1 in 6, 1/6, or 1:6
James and Terry open a savings account that has a 2.79% annual interest rate,
compounded monthly. They deposit $500 into the account. How much will be in the
account after 20 years?
Answer:
The answer should be $279 If im right if not sorry
Step-by-step explanation:
500 x 2.79% x 20 = 279