Answers
Answer:
B. H, I, JH(-5, -5), I(0, -6), J(2, -8)Step-by-step explanation:
You have to draw sets:
[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]
in the coordinates system.
[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]
dashed line
mark the region below the line
[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]
solid line
mark the region below the line
Read points on the common region (look at the picture).
Related Questions
The two-way table shows the estimated number of students who will enroll in three area high schools next year. A 5-column table has 4 rows. The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total. The second column is labeled Tenth grade with entries 110, 180, 160, 450. The third column is labeled Eleventh grade with entries 120, 150, 140, 410. The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400. The fifth column is labeled Total with entries 310, 450, 500, 1,260. In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade? 0. 2 0. 3 0. 4 0. 5.
Answers
The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.
Given that,The two-way table shows the estimated number of students who will enroll in three area high schools next year.
A 5-column table has 4 rows.
The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The second column is labeled Tenth grade with entries 110, 180, 160, 450.
The third column is labeled Eleventh grade with entries 120, 150, 140, 410.
The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.
The fifth column is labeled Total with entries 310, 450, 500, 1,260.
We have to determine,What is the probability that a randomly selected Riverside High School student is in twelfth grade?
According to the question,The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The number of randomly selected Riverside High School students is in twelfth grade = 200,
And Total number of students in Riverside High School is = 500
Therefore,
The probability that a randomly selected Riverside High School student is in twelfth grade is,
[tex]\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4[/tex]
Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.
For more details about Probability refer to the link given below.
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Answer:
C
Step-by-step explanation:
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?
A.
$6727.50
B.
$3000.00
C.
$7400.25
D.
$5604.41
Answers
d
$5604.41 will be worth after 20 years I think
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Option 2.
1st year.
Principal = 1100
2nd year.
Principal = 1210
3rd year.
Principal = 1331
(1210 - 1100) / 1100 x 100
= 110/1100 x 100
= 10%
This means,
It is increasing at a rate of 10% annually.
Now,
P = $1100
r = 10%
n = 1
t = 20
A = P [tex](1 + r/n)^{nt}[/tex]
A = 1,100 [tex](1 + 0.1)^{20}[/tex]
A = $7400.25
Thus,
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
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A money market account dropped to 5/8 its original value of $7.200. What is its current value?
A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520
Answers
Answer:
Which claim most accurately describes the energy transformation taking place while he practices his guitar?
Sound energy is converted into elastic energy.
Kinetic energy is converted into thermal energy.
Mechanical energy is converted into sound energy.
Electrical energy is converted into mechanical energy.
Step-by-step explanation:
Answer:
C. 4,500
Step-by-step explanation:
Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500please no links!!!!!!!!!!!
Suppose a trip is 355.1 miles long and you want to spend 2 days driving. How many miles
should you drive each day?
Answers
Answer: 177.55 miles
Step-by-step explanation: 355.1/2
= 177.55 miles each day
Answer:
177.55mi/day
Step-by-step explanation:
If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.
PLEASE HELP I NEED TO HAVE THIS DONE IN 30 MINUTES
Answers
Answer:
Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional
Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answers
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
Write (5/3)³ as a quotient of powers.
Answers
Answer:
The number (5/3)³ written as a quotient of powers is; 5³/3³
According to the question;
We are required to determine write the number, (5/3)³ as a quotient of powers
The number (5/3)³ can be evaluated as;
= 125/27
= 5³/3³
Step-by-step explanation:
1. A hot air balloon 4s anchored to the ground by a 152-foot long
rope. The balloon hovers 132 feet above the ground. Which
statement is true?
(a) The angle the rope makes with the ground is about 30"
(B) The angle the rope makes with the ground is about 67
(C) The horizontal distance between the anchor and balloon is about 201 feet.
(D) The horizontal distance between the anchor and the balloon is about 75
foot,
19
Answers
A simple diagram is all you need!!
HELP SOLVE THIS QUICK
y = 6x + 20
y = -4x + 150
Answers
Answer:
13
Step-by-step explanation:
set equations equal to each other and solve for x
6x + 20 = -4x + 150
10x = 130
X = 13
Please quickly answer number 6 will give brainliest
Answers
Shshsjshshasjajasja
=
Let f(x) = 3x + 8, g(x) = 2x -12
and h(x) = -4x
=
1a) f + g =
1b) f-g=
2b) g*f=
2b) g-f=
Answers
Answer:
it's the 2nd one
Step-by-step explanation:
yeah it's the 2one
This assignment is already late cause I’m terrible with time management but please help
Answers
45°
B
the sum of the angles of triangles is 180°
60°+75°+x=180°
135°+x=180°
135°-135°+x=180°-135°
x°=45
B
make me brainiest
To solve this question, we have to know some rules
-All tringles' angles must add up to 180 digress
-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)
Now the steps are easy.
Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is
(Angle number one) + (Angles number two) - 180
If we apply it to the triangle here, it would be
180-(60+75)
Let's solve it slowly
P.E.M.D.A.S
60+75 is 135
180-135=45
Therefore, the answer is 45 or B
I hope this helped if it's wrong pls blame me
ps.Brianlist would really help
what's 5+5+5+5+5+5? and then times 1 ?
Answers
30 * 1 = 30
help pleasee
on the image
with the steps.
Answers
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?
Answers
Answer: p800,000
Step-by-step explanation:
1/2 to wife
1/3 to eldest son, and
Rest(x) to 5 youngest children
(1/2) + (1/3) + x = 1 [The sum of the shares will equal 1 estate]
(3/6) + (2/6) + x = 1
(5/6) + x = 1
x = (1/6); to be divided among the 5 youngest children
We find that each young child receives p60,000. That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).
We can write: (1/6)*(Estate) = p300,000
Estate = p1,800,000
The wife hauled in 1/2 of this, so she received p800,000.
What is the probability that the reader is a young adult given that their favorite is Asimov or Brooks?
Answers
Answer:
7/16
Step-by-step explanation:
80 is the given amount which would become the denominator then you get the number of young adults in those sections and add them up to equal 35
then simplify
In order to join a yoga club you have to pay an annual fee and a fee per class. At Yoga For Us the annual fee is $30 and $5 per class. At Stretch Land the annual fee is $60 and
$2 per class. After how many classes would the fees be the same?
After 10
classes the feels the same.
Answers
It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.
For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80
For Stretch Land after 10 classes. You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.
Each yoga studio will have gathered $80 after 10 classes.
Hope this helps <3 & don't forget to drink water!!
Find the area.
2 cm
2 cm
4 cm
Answers
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution
Answers
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation:
find the slope of the line 2y+5x=3
Answers
Answer:
-5/2
Step-by-step explanation:
First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.
So in our case, we get Y= -5/2x+3/2 so my slope is -5/2
I don’t know how to simplify this fully;15x/5xy
Answers
Answer:
3/y
Step-by-step explanation:
15x
5xy
you would divide top and bottom by 5x, since it is their only common divisor.
you would then get 3/y. hope this helps
Prove that 4x-1 =11,in which the value of x=3
Answers
Answer:
3
Step-by-step explanation:
substitute where x=3 into the equation
so 4*3-1=11
4×3-1=11
12-2=11
11=11
proved..
Square ABCD is drawn on the coordinate plane (not shown) with vertex A(-4,-2) and the midpoint of side AB at (-1.-6). What is the area of the square?
Answers
Answer:
ab hehehe hende ko Alam hahahah
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex]
What is the area of square?
The area of a square is equal to
(side) × (side) square units.
Here given that,
Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]
Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]
So,
[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex].
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elena went to a sporting goods store that was having a sale she bought a tennis racket and 3 cans of tennis balls the tennis racket is normally 43 all tennis rackets are marked done 15 percent one can of tennis balls is 4 the tennis balls are not marked done the sale tax is 8.5 how much will she pay for everything including tax
Answers
The amount that she will have to pay for everything is $52.68.
First step is to calculate the cost of 3 can of tennis ball
Cost of cans=3 x $4
Cost of cans=$12
Second step is to calculate the discount
Discount=15% x $43
Discount=$6.45
Third step is to calculate the cost of total racket
Total racket=$43 -$6.45
Total racket=$36.55
Fourth step is to calculate the amount that Elena will pay including tax
Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]
Amount=$48.55 + ($48.55 x 0.085)
Amount=$48.55+$4.13
Amount=$52.68
Inconclusion the amount that she will have to pay for everything is $52.68.
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Evaluate the expression wx when x = -15 and w = 5. wx = _________.
-3 75 -75 3
Answers
-15 x 5 is ur equation
15 x5 is 75 but the 15 is negative so its -75
Answer:
-75
Step-by-step explanation:
i had the exam so it is write
1+2+3+4+5+6+7+8+9+10+11+!2+13=?
Answers
Answer:
91
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?
Answers
Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
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Use the information given to answer the question. An office supply store has 1,508cases of paper and
736
boxes of pens. Each case of paper contains
24
packs of paper, and each box of pens contains
50 pens.
Part A
How many packs of paper does the office supply store have?
36,192 packs of paper
36 , 192 packs of paper
36,432 packs of paper
36 , 432 packs of paper
37,700 packs of paper
37 , 700 packs of paper
37,750 packs of paper
Answers
write the ratio as a fraction in simple form 14 boxes:8 boxes
Answers
the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons
Answers
The atom's place on the table is determined solely by its number of protons
A periodic table is a table containing different elements and arranged across the periods and groups of the table. The elements in a periodic table are numbered and arranged based on their atomic number.Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons
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Answer:
number of protons
Step-by-step explanation: