Which linear inequality represents the graph below?
A. x 2² x + 1
B. y2-}x+1
C. >*x+1
D. -*x+1
Answers
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
In the given graph, the boundary line passes through the points (-3,3) and (0,1).
So, the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{1-3}{0-(-3)}(x-(-3))[/tex]
[tex]y-3=\dfrac{-2}{3}(x+3)[/tex]
[tex]y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)[/tex]
Adding 3 on both sides, we get
[tex]y=-\dfrac{2}{3}(x)-2+3[/tex]
[tex]y=-\dfrac{2}{3}(x)+1[/tex]
The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be [tex]\geq[/tex] and the required inequality is:
[tex]y\geq -\dfrac{2}{3}(x)+1[/tex]
Therefore, the correct option is B.
Related Questions
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
Answers
X>6
For the second one it’s x ≤ −1
Given the function f(x) = −5x^2 − x + 20, find f(3).
Answers
Answer:
f(3) = -28
Step-by-step explanation:
f(3) = -5(3²) - 3 + 20
= -5(9) - 3 + 20
= -45 - 3 + 20
= -48 + 20
= -28
Will Mark as Brainliest if it's the Best!
Answers
OPTION B is the correct answer.
Hope it helps you...
Answer:
option B
Step-by-step explanation:
[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]
in multiplication if base are same u can add their power (exponent)
[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]
here since the denominator of the fraction in exponent are same u can add or subtract their numerator.
[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]
note: any base with the power 0 is always considered as one.
PLSSS ANSWER FASTTT
If angle ACB is 34 degrees, what is the measure of angle ADB?
A
Answers
Answer:
34 because the shape is split.
Step-by-step explanation:
find the measure of angle TFM
Answers
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
ASAP what is the answer?
Answers
Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Help!!!!!! I Don’t Know The Answer It’s Hard
Answers
Answer:
D
Step-by-step explanation:
Have a great summer :)
Answer:
C
Step-by-step explanation:
The slope is negative, so we can exclude the graph A and D
If we substitute y with 2 and x with -3 we have
2 = -4/3 (-3) -2
2 = 4 - 2
2 = 2
the equality is verified so C is the answer
I need help with it one plz
Answers
Answer:
- 2/5
Step-by-step explanation:
(3/5 + 1/5) + (4/5 - 2/5) = 6/5
6/5 - (9/5-1/5) = - 2 /5
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answers
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
the correct answer
A school bus has 25 seats, with 5 rows of 5 seats, 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second grade students occupy the first row?
ОА 2P20
OB gPg 20115
oc. gg* 25 C14
OD. SPg ISPIS
Ol. 9Pg x 2g Cis
Answers
Answer:
5P5 × 20P15
Step-by-step explanation:
i think...
sorry if im wrong
good luck
How did Progressives address the problems caused by industrialization?
Answers
identify one solution for this graph
Answers
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)
Answers
Answer:
[tex]Q_3 = 64[/tex]
Step-by-step explanation:
Given
Box of a box plot with the range: 60 - 64
Required
The upper quartile
To do this, we simply identify the endpoint of the range
Given that the range of the box is 60 to 64.
We have:
[tex]Start = 60[/tex]
[tex]End = 64[/tex]
Hence:
[tex]Q_3 = 64[/tex]
NEED HELP FAST!!!! PLEASE HELP!!
Answers
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
Someone pls help me ill hive out brainlist pls don’t answer if you don’t know
Answers
Answer:
B. 14 and 15
hope this helps
have a good day :)
Step-by-step explanation:
the square root of 200 is 14.14213562 so it has to be between 14 and 15
HCF of smallest 2 digit composite number and smallest 3 digit prime number is?
Answers
Answer:
HCF = 1
Step-by-step explanation:
Smallest 2 digit composite number = 10
Smallest 3 digit prime number = 101
Factors of 10 = 1 , 2 , 5
Factors of 101 = 1 , 101
HCF = 1
find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m
Answers
Answer:
A =374.1 m^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
A = 25.8*14.5
A =374.1 m^2
Answer:
Area of rectangle is 374.1 m ²
Step-by-step explanation:
Given That :-Length of rectangle = 25.8 mBreadth of rectangle = 14.5 mTo Find :- Area of rectangleFormula Used :-Area of rectangle = Length × Breadth
Solution : -Using Formula
Area of rectangle = Length × Breadth
substitute the values.
Area of rectangle = 25.8 m × 14.5 m
multiply, we get
Area of rectangle = 374.1 m ²
Therefore, the area of rectangle is 374.1 m ²
I AM GOING TO FAIL THIS EXAM L M A F O
Answers
Answer:
x = 4
Step-by-step explanation:
The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is
[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )
20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )
12x = 48 ( divide both sides by 12 )
x = 4
PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!
Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...
Hint: Write a formula to help you.
1st term+ common difference(desired term-1)
Answers
Answer:
the 9th term would be -15
Step-by-step explanation:
A rectangle if formed by placing two identical squares side by side. The perimeter of the rectangle is 6 cm. What is the total area of the squares.
Answers
Answer:
2 cm²
Step-by-step explanation:
Perimeter of a rectangle = perimeter of a square + perimeter of a square
2 congruent squares, side by side
The perimeter of the two squares = 6*sidelength.
Perimeter of a rectangle = 6 cm
The perimeter of the two squares = 6 * length
= 6l
Perimeter of a rectangle = The perimeter of the two squares
6 = 6l
l = 6/6
l = 1
Length = 1 cm
What is the total area of the squares.
Area of a square = lenght²
Area of two squares = 2(length ²)
= 2(1²)
= 2(1)
= 2 cm²
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
The answer is C≈49.64
Answer:
C=2πr=2·π·7.9≈49.63716
Step-by-step explanation:
brainliest??
i need help in this assignment
Answers
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
State what additional information is required in order to know that the triangles are congruent for the reason given
Answers
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
Answers
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)
Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.
Answers
Answer:
yes
Step-by-step explanation:
both angels are the same and that means that the length of the parallel sides are also the same
Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M. Una hora mas tarde se encuentra a 109 km de La Romana sabiendo que la distancia de Santo Domingo a La Romana es de 130 km
V: velocidad
T: tiempo
D: distancia
V= D/T
Answers
Answer:
Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Step-by-step explanation:
Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:
130 - 109 = 21 km por hora
130 / 21 = 6.19
1 = 60
0.19 = X
0.19 x 60 = 11.4
Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answers
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
Solve for x. Round to the nearest tenth, if necessary.
Answers
=======================================================
Explanation:
We use the cosine ratio here. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(69) = x/10
10*cos(69) = x
x = 10*cos(69)
x = 3.583679495453 which is approximate
x = 3.6
Brainliest, 40 points
Answers
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
Find the gradient of the line segment between the points (-3,2) and (4,4).
Answers
Answer:
slope = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]
Answer:
= 2
7
Step-by-step explanation:
slope = y2 - y1
x2 - x1
=4 - 2
4 - -3
= 2
7
y - 4 = 2
x - 4 7
7(y - 4) = 2(x - 4)
7y - 28 = 2x - 8
7y = 2x - 8 + 28
7y = 2x + 20
7 7 7
Gradient = 2
7
