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.
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
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
If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)
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]
How did Progressives address the problems caused by industrialization?
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
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.
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.
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
PLSSS ANSWER FASTTT
If angle ACB is 34 degrees, what is the measure of angle ADB?
A
Answer:
34 because the shape is split.
Step-by-step explanation:
I need help with it one plz
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
Someone pls help me ill hive out brainlist pls don’t answer if you don’t know
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
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
find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m
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
ASAP what is the answer?
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.
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
Find the gradient of the line segment between the points (-3,2) and (4,4).
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
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The answer is C≈49.64
Answer:
C=2πr=2·π·7.9≈49.63716
Step-by-step explanation:
brainliest??
Brainliest, 40 points
(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
NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
i need help in this assignment
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].
find the measure of angle TFM
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°
I AM GOING TO FAIL THIS EXAM L M A F O
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
HCF of smallest 2 digit composite number and smallest 3 digit prime number is?
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
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
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! :)
identify one solution for this graph
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
Solve for x. Round to the nearest tenth, if necessary.
=======================================================
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
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)
Answer:
the 9th term would be -15
Step-by-step explanation:
Will Mark as Brainliest if it's the Best!
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.
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
Answer:
5P5 × 20P15
Step-by-step explanation:
i think...
sorry if im wrong
good luck
State what additional information is required in order to know that the triangles are congruent for the reason given
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.
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
Given the function f(x) = −5x^2 − x + 20, find f(3).
Answer:
f(3) = -28
Step-by-step explanation:
f(3) = -5(3²) - 3 + 20
= -5(9) - 3 + 20
= -45 - 3 + 20
= -48 + 20
= -28
Help!!!!!! I Don’t Know The Answer It’s Hard
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