Given:
The boundary line of an inequality is:
[tex]2x+3y=6[/tex]
The solution set contains (0,0).
To find:
The inequality.
Solution:
The boundary line of an inequality is
[tex]2x+3y=6[/tex]
Since (0,0) is in the solution set, therefore (0,0) satisfies the required inequality.
Taking LHS, we get
[tex]LHS=2x+3y[/tex]
Substitute x=0 and y=0.
[tex]LHS=2(0)+3(0)[/tex]
[tex]LHS=0+0[/tex]
[tex]LHS=0[/tex]
The right hand side of the given equation is 6.
[tex]RHS=6[/tex]
We know that,
[tex]0<6[/tex]
[tex]LHS<RHS[/tex]
[tex]2x+3y<6[/tex]
The boundary line is not a dotted line, it means the points on the boundary line are also included in the solution set. So, the inequality sign must be [tex]\leq [/tex].
[tex]2x+3y\leq 6[/tex]
Therefore, the required inequality is [tex]2x+3y\leq 6[/tex].
Find the value of x in the figure below and give the reason.
Answer:
167
Step-by-step explanation:
180-130-37
=13 (sum of angles in a triangle)
180-13
=167 (angles on a straight line)
Ichiro bought 5 candy bars for $5.50. How much would he pay if he bought 9 candy bars
A. $9.90
B.$ 1.10
C.$27.50
Answer:
A
Step-by-step explanation:
Each candy bar is $1.10
The manager of a music store surveyed a random sample of customers who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music.
Answer:
C
Explanation:
Add all the people of the compared categories together
5 + 9 + 12 = 26
26 < 27 is true
therefore, C
What is the mean of 46, 37, 34, 31, 29, and 24?
For what value of x do the expressions 2x+3 and 3x−6 have the same value?
2. 7x – 3 = 7x + 5
Help.?
my answer is;
X = - 80/43
Somebody tell me the answer to this please
Answer:
the domain is D. (-infinity, infinity)
What is the perimeter of the square below?
Answer:
the perimeter is 44 inches
Step-by-step explanation:
because 4 × 11 is 44 and all the sides are equal
Answer:
44inches
Step-by-step explanation:
Since all of the sides are equal, you just need to multiply 11 with 4.
11x4=44
or
there are 4 sides and each side equals 11 so-
11+11+11+11=44
Hope this helps! :)
If x=7cm what is the surface area of the geometric shape formed by this net
write standard form equation of the circle on the graph (easy)
Answer:
The correct answer is D.
Go to your calculator or a graphing website and just graph it.
Answer:
(x-4)²+(y-2)²=9
Step-by-step explanation:
The standard form for a circle is (x-h)²+(y-k)²=r²
(h,k) is the center of a circle and r is the radius
h=4
k=2
r=3
(x-4)²+(y-2)²=3²
(x-4)²+(y-2)²=9
PLS ANSWER ASAP WHOEVER ANSWERS FIRST AND ANSWWRES CORRECTLY WILL GET BRAINLIEST AND WILL GET A THANK YOU
Answer:it’s the 3rd
Step-by-step explanation:
Answer:
7y+8
Step-by-step explanation:
You add all of the X's together and the singular numbers together to get the answer
A group of friends wants to go to the amusement park. They have no more than $245 to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer:
25.75x+9.25
Step-by-step explanation:
9.25 is the constant. You multiply the ticket by the amount of people to get ticket cost. Then you add ticket cost 9.25 to get final answer.
Inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the group of friends has no more than $245 to spend on parking and admission.
And the parking is $9.25, and tickets cost $25.75 per person, including tax.
Let the number of people would be p who can go to the amusement park,
So the inequality that expresses the relationship is
⇒ 9.25 + 25.75 × p ≤ 245
Therefore, inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
A group of friends ordered 3 burgers and 3 medium fries for a total of $20.25. Another group of friends ordered 5 burgers and 8 medium fries for a total of $38.25. What is the cost of one burger
Answer:
2.25
Step-by-step explanation
1. divide 20.25 by 3.
2. you got 6.75!
3. divide 6.75 by 3.
4. you got 2.25!
see how the power of division can help you? ok ok, sorry that's cringy.
Find the value of x.
140
40
A. 50
B. 90
C. 20
D. 70
What is the LCM of 24 and 90?
24,48,72,96,120,144,168,192,216,240,264...360
90,180,270,360
LCM of 24 and 90 is 360
---
hope it helps
Answer:
Step-by-step explanation:
Find the prime factorization of each number
24=2*2*2*3, 90=2*3*3*5
The LCM will be the product of highest occurring primes, in this case
2*2*2*3*3*5=360
So the LCM is 360
Which inequality is true if p = 3.4?
Answer
Зp < 10.2
G
13.6 5 3.9p
5p > 17.1
M.
8.5 > 2.5p
Answer:
M
Step-by-step explanation:
Can someone plz help me with this one problem plzzzzz!!!
I WILL MARK BRAINLIEST!!!
Answer:
Points; (0,0),(3,1),6,2),&(9,3),
Step-by-step explanation:
Father has 240 oranges in a bag . His neighbor gets 25% of it , his niece gets 1/3 of the reminder and the rest were sold in bags of 5 for 15 . How much money did he earn from the oranges he sold ?
Answer:
he made $360
Step-by-step explanation:
25% of 240
240 × 25 ÷ 100 = 60
his neighbor got 60 orange
remainder is 3/4 or 75 %
75% of 240
240 × 75 ÷ 100 = 180
1/3 of 180
1/3 × 180 = 60
he niece got 60 orange
remainder of orange is 2/3
2/3 = 2/3 × 180 = 120
120 ÷ 5 = 24
he sold 24 bags of orange
24 × 15 = $360
he made $360 from his orange
pls help this is due today
Answer: .5/.25=2
Step-by-step explanation:
Si dentro de 15 años Eduardo tiene el doble de edad que la que tenía hace 5 años, ¿qué edad tiene ahora?
Help me please, This is due in a little
Answer:
Linear.
Why?
Y= 10 x 2^x
Is a linear because when a number has "^x" in it that means it is a linear.
Find the surface area of the rectangular prism.
8 m
4 m
1 m
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Simplify
21x®y:
14x’yº
PLEASE HELPPPP
Answer:
3x/2y
Step-by-step explanation:
i hope this helped you!! :)
If AB=4 feet & AD=10 feet & m
What is DC?
What is BD?
What is m
What is m
Answer:
1. DC = AB = 4 ft
2. BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex]
4. m<EBC = [tex]65^{o}[/tex]
Step-by-step explanation:
From the given quadrilateral,
Given: AB = 4 ft, AD = 10 ft and m<BAE = 65.
1. DC = AB = 4 ft (opposite sides of a parallelogram are equal)
2. Applying the Pythagoras theorem to ΔABD, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]BD^{2}[/tex] = [tex]4^{2}[/tex] + [tex]10^{2}[/tex]
= 16 + 100
= 116
BD = [tex]\sqrt{116}[/tex]
= 10.7703
BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex] (the diagonals bisects each other at right angle)
4. m<ABC + m<BAC + m<ACB = 180
90 + 65 + m<ACB = 180
m<ACB = 180 - 155
m<ACB = [tex]25^{0}[/tex]
So that,
m<BEC + m<EBC + m<ECB = 180
90 + m<EBC + 25 = 180
m<EBC = 180 - 115
m<EBC = [tex]65^{o}[/tex]
Please answer and i'll do what ever you want! also brainleast and 100 points included
Which ordered pair is the best estimate for the solution of the system of equations?
y=−34x−2y=x+6
a (−4.5,1.75)
b(−4.25,1.5)
c(−4.5,1.5)
d(−4.75,1.75)
Use the second equation. Replace x with the answer choices and if it equals the y value than that is the answer:
Y = x + 6
-4.5 + 6 = 1.5
The answer would be C. (-4.5,1.5)
Answer:
c(−4.5,1.5) is your answer
If f(x)=-4x^2-6x-1 and g(x)=-x^2-5x+3, find (f-g)(x).
Answer:
(f-g)(x)=f(x)-g(x)=-4x^2-6x-1 -(-x^2-5x+3,)
=-4x²-6x-1+x²+5x-3
=-4x²+x²-6x+5x-3-1
=-3x²-x-4
find the value of f(4)
Answer:
5
Step-by-step explanation:
For this question, look for the y value when x=4. The y-value when x=4 is 5.
Write an expression for 11 more than a
Answer:
a + 11
Step-by-step explanation:
a + 11
a is the variable, plus 11.
How do people do taxes?
Answer:
Like do a form on the internet or do a form in mail
Step-by-step explanation:
Does Anybody know this ?
Answer:
897.63 hi hi hihi hi hi hi hi hi hi
Answer:
860$
Step-by-step explanation:
amount of money he earn per hour: 10.75$
No. of hours he worked this week: 33 hours
no. of hours he worked next week: 47 hours
total hours he worked: 33+47 = 80
now,
total amuont of money he makes= 10.75×80
860 $