Which number completes the system of linear
inequalities represented by the graph?
y> 2x – 2 and x + 4y > _____
Answers
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
What system of inequalities generate the graph seen in the image?
Herein we have two inequalities generated by two linear functions whose form is described below:
f(x, y) > a (blue region) (1)
g(x, y) > b (red region) (2)
By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:
Slope
m = [- 4 - (- 3)]/(4 - 0)
m = - 1/4
Intercept
b = y - m · x
b = - 3 - (- 1/4) · 0
b = - 3
Then, the inequation is represented by the linear equation:
y > - (1/4) · x - 3
4 · y > - x - 12
x + 4 · y > - 12
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
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Related Questions
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99.
What is the percent increase in the cost due to the fee?
Answers
Answer: hello there here is your answer:
7%
Step-by-step explanation:
if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%
hope this help have a good day bye
Answer:
the other person is correct
Step-by-step explanation:
I need help with all of em please
Answers
Answer:5/4
Step-by-step explanation: i think this is the answer
Answer:
The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9
Step-by-step explanation:
15 years from now Renu will be four times her present age. What is Renu's present age?
Answers
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
Its about similar figures and scale drawing
No links
Answers
Answer:
5 in
Step-by-step explanation:
by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5
Answer: X = 5
Step-by-step explanation:
4 divided by 2 = 2
So 10 divided by 2 = 5
Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6
Answers
Answer:
B
Step-by-step explanation:
Trust me bro. It’s “B.”
4. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is a. 2 b. 2.2 C. 2.4 d. 2.8
Answers
Answer:
its 2•8
u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28
so 28/10= 2•8
Answer:
mean=sum of all the data number of the data
= 2+3+4+5+0+1+3+3+4+3/10
= 28/10
= 2.8
I hope this helps
solve the equation x^2 -100 = 0
Answers
:)
In which figure is DE BC
Answers
Answer:
Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.
DB
AD
=
AC
AE
[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.
7.2
AD
=
5.4
1.8
AD=
5.4
7.2×1.8
AD=
10
24
⟹AD=2.4cm
5 + 3bc =
9a + b =
cd + bc =
Answers
Answer:
You can't answer these questons
sorry
Hope This Helps!!!
pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answers
a suit is on sale for 15% off. the sale price is $442. what is the regular price?
Answers
Answer:
520
Step-by-step explanation:
100% - 15% = 85%
85% of the original price is 442 dollars
100% = x
solve for x:
x * 0.85 = 442
x= 520 dollars
regular price is 520 dollars.
if tanA=12/16,find sin 2A
Answers
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]
[tex]c = 20[/tex]
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
sin A = 3/5
cos A = adjacent side / hypotenuse
cos A = 16/20
cos A = 4/5
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
sin 2A = 24/25
PLEASE HELP I WILL GIVE BRAINLY
If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x
Answers
Answer:
y = 7x and y = 28
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 56 when x = 8 , then
56 = 8k ( divide both sides by 8 )
7 = k
y = 7x ← equation of variation
When x = 4
y = 7 × 4 = 28
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answers
Answer:
a²+b²-18greaterthan or equal to 6a-6bThe product of three different positive integers is equal to 7^3. What is the sum of the three integers?
Answers
Answer:
sum of three positive integer=57
Step-by-step explanation:
let x,y,z be three positive no.
given :-
xyz=7³
xyz=343
xyz=1×7×49
x+y+z=(1+7+49)
sum=57
Answer:
343
Step-by-step explanation:
7^3
change 7^3 to a natural number or enter 7^3 on a calculator
7×7×7
=343
factors of 343=1,7,49,343
1×7×49=343
1+7+49=57
WILL MARK BRAINLIEST
Please help solve problems with common tangents.
Thank you.
Answers
Answer:
sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.
Step-by-step explanation:
.......
===========================================================
Explanation:
Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.
Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.
Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).
So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.
-----------------------
Since the triangles are similar, we can form the proportion below and solve for x
AB/AE = DC/DE
x/18 = 4/6
x*6 = 18*4 .... cross multiplication
6x = 72
x = 72/6
x = 12
Therefore, segment AB is 12 units long, and this is the radius of circle B.
Find an equation for the line below.
Answers
Answer:
y= -1/4x+ 3.75
Step-by-step explanation:
which of the points lies on the curve y=x^3
Answers
Answer:
D
Step-by-step explanation:
Hello,
A: no since (1/3)^3=1/27 not 1/9
B: no since (-1)^3=-1 not 1
C: no since (-2)^3=-8 not -6
D: yes since (-1/2)^3=-1/8
Answser D
help me please I have no clue how to do these
Answers
Answer:
AB is parallel to DC
Step-by-step explanation:
you have to tilt your head to the left for this one LOL
AB is parallel to DC
since 1 = 6
its the bottom of a triangle
Simplify the expression below.
50 - 2(32 + 1)
Answers
Answer:
[tex] = { \tt{50 - 2(32 + 1)}}[/tex]
Solve the bracket:
[tex] = { \tt{50 - 2(33)}}[/tex]
Open the bracket:
[tex]{ \tt{ = 50 - 66}}[/tex]
Subtract the expression:
[tex]{ \bf{ = - 16}}[/tex]
Step-by-step explanation:
Multiply 2 by 32 and 1
50-64-2
-14-2
-16 Answer
Find the sum
(-4) + 2/3
Answers
Answer:
[tex]-3\frac{1}{3}[/tex]
Step-by-step explanation:
---------------------------------------
Given:
[tex](-4)+\frac{2}{3}[/tex]
--------------->>>>
Make the denominators the same.
[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]
--------------->>>>
Multiply inside the parenthesis.
[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]
--------------->>>>
Join the denominators.
[tex]\frac{-12+2}{ 3}=[/tex]
--------------->>>>
Add the numerators.
[tex]-\frac{10}{3}[/tex]
--------------->>>>
Convert to mixed fraction.
[tex]-3\frac{1}{3}[/tex]
---------------------------------------
Hope this is helpful.
Answer:
-10/3.
Step-by-step explanation:
(-4). 2
----- + ------
1 3
we have to make the denominator same:
so.,
-4. ×. 3. -12
---- ---- = ------
1. ×. 3. 3
-12 2. -12+2
---. + ---- =. -----------
3. 3. 3
-10
=. ----
3
Question 1 of 10 If f(x) = 5x and g(x) = x+1, find (f.g)(x).
Answers
Answer:
D
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= 5x³( x + 1) ← distribute parenthesis
= 5[tex]x^{4}[/tex] + 5x³ → D
If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per gallon of gas?
Answers
Answer:
0.09
Step-by-step explanation:
avg rate of change is: change in y/ change in x
so it´d be 3.59 - 0.89 / 2014 - 1984
= 2.7/ 30
= 0.09
note:
The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:
y2 - y1 / x2 - x1
Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.
Answers
Answer: 1.5f + 2.25c = 40
Step-by-step explanation:
You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.
Solve, (-10)-(-2)^3-(-2)x(-11)
Answers
Answer:
−10−1(−2)^3−1(−2)(−11)
● −10−1(−8)−1(−2)(−11)
●−10+8−1(−2)(−11)
●−10+8−22
●−10+8−22
☆Answer:-24
○●○●○●○●○●○
Hope it helps
Have a great day!!
18x-108
-----------
6x-54
simplify the expression
A.
B.
C.
D.
Answers
Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
Does anyone know what graph is correct?
Answers
First graph is the correct one.
when x= 1
y=f(x) = -√1 = -1
when x= 2
y= -√2
Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want to walk the shortest distance back to their base. On what bearing should the scouts walk?
Answers
Answer:
They should walk on a bearing of 59.4 degrees
Step-by-step explanation:
Given
[tex]South = 4.2km[/tex]
[tex]West = 7.1km[/tex]
Required
The bearing back to the base
The given question is illustrated with the attached image.
To do this, we simply calculate the measure of angle a using:
[tex]\tan(a) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(a) = \frac{7.1}{4,2}[/tex]
[tex]\tan(a) = 1.6905[/tex]
Take arctan of both sides
[tex]a = \tan^{-1}(1.6905)[/tex]
[tex]a = 59.4^o[/tex]
The bearing that the scout should work is N59.4W for the shortest distance
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let A represent the angle that the scouts walk
tan∠A = 4.2/7.1
A = 30.6°
The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance
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# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%
Answers
profit from selling 5 oranges is 20%
Profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
What is profit?" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."
Formula used
Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]
According to the question,
We know that,
Selling price = cost price + profit
Substitute the given condition in the selling price formula we get,
Selling price of 5 oranges
= Cost price of 5 oranges + Selling price of 1 oranges
⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges
⇒S.P of 4 oranges = C.P of 5 oranges
⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]
Substitute the value in the formula to get profit percentage,
Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]
= 25%
Hence, profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
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what is a square plus b square?????????????????
Answers
Answer:
c squared
Step-by-step explanation:
Answer:
C Squared
Step-by-step explanation:
