Answers
so we know the EQUATion of the line, now let's work out the inequality of it.
the shaded area is the "true" region or area, and the non-shaded is the "false" region, hmmm let's work our way from the "false" region.
first off, the line is solid, that means the line includes values in the inequality, meaning the shaded part extends to the borderline, so the inequality will be either ⩾ or ⩽, let's work it out from the "false" region, by picking out a point there, hmmm let's use say x = 6 and y = -4, so the point is (6 , -4) and let's plug it in the EQUATion.
[tex]y ~~ \square ~~ \cfrac{3}{4}x-3\hspace{5em}(6~~,~-4)\qquad \implies \qquad -4 ~~ \square ~~ \cfrac{3}{4}(6)-3 \\\\\\ -4 ~~ \square ~~ \cfrac{18}{4}-3\implies -4 ~~ \square ~~ \cfrac{9}{2}-3\implies -4 ~~ \square ~~ \cfrac{9-6}{2}\implies -4 ~~ \square ~~ \cfrac{3}{2} \\\\\\ -4 ~~ \square ~~ 1.5\qquad \textit{is -4 greater or less than 1.5?}[/tex]
well, clearly -4 is less than 1.5, however to make that a false statement, we can say that -4 is more than 15, now, is not true, is "false" and since we're working from the "false" region, that is what we need, "more than", or ⩾
[tex]{\Large \begin{array}{llll} y\geqslant \cfrac{3}{4}x-3 \end{array}}[/tex]
now, bear in mind that we could have started from the "true" region, the shaded one, and pick a point in it like (0 , 0), if you test, that gives us something like 0 [ ] -3, to make that true, we make it 0 ⩾ -3, because that is true, 0 is really greater than -3, and working for the "true" region, that's what we need.
Related Questions
Express as a single fraction
Answers
Expression of given expression as simple fraction is ax/3y.
What is fraction ?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given expression
(ax + ay)/xy² . x²y/(3x + 3y)
simplifying
(ax + ay)/y . x/(3x + 3y)
Factoring out common factors
a(x + y)/y . x/3(x + y)
Simplifying
= ax/3y
Hence, given expression as simple fraction is ax/3y.
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Find the angle, correct to two decimal places, that the lines joining the given points
make with the positive direction of the x-axis:
a (−4, −2), (6, 8)
b (2, 6), (−2, 4)
c (−3, 4), (6, 1)
d (−4, −3), (2, 4)
e (3b, a), (3a, b)
f (c, b), (b, c)
Answers
Answer: look at the image, and u better give me brainliest for this
Step-by-step explanation:
you set up a colorful candy bag for your friend with 4 cherry, 8 orange, 2 lemon, 8 grape, and 6 sour raspberry, hard candies. when they pull out two of them, one for each of you, what is the probability they draw 1 cherry and 1 sour raspberry in either order?
Answers
Answer:
Step-by-step explanation:
The total number of candies in the bag is 4 cherry + 8 orange + 2 lemon + 8 grape + 6 sour raspberry = 28 candies.
The probability of drawing a cherry on the first draw is 4/28, and the probability of drawing a sour raspberry on the second draw given that a cherry was drawn first is 6/27 (since there are 27 candies left in the bag after the first draw).
The probability of drawing a sour raspberry on the first draw is 6/28, and the probability of drawing a cherry on the second draw given that a sour raspberry was drawn first is 4/27.
Therefore, the probability of drawing one cherry and one sour raspberry in either order is:
(4/28) * (6/27) + (6/28) * (4/27) = 24/756 + 24/756 = 48/756
So the probability of drawing one cherry and one sour raspberry in either order is 48/756.
What does 5² × 1201 equal to
Answers
Answer:
30025
Step-by-step explanation:
5² × 1201
5^2 = 25
25 x 1201 = 30025
WILL GIVE brainliest
Answers
The value of the equation is A = ( 50.4 )x - ( 35.2 )y - 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 8 ( 6.3x - 4.4y ) - 3 be equation (1)
On simplifying the equation , we get
By distributive property ,
A = 8 ( 6.3x ) - 8 ( 4.4y ) - 3
On further simplification , we get
A = ( 50.4 )x - ( 35.2 )y - 3
Hence , the equation is A = ( 50.4 )x - ( 35.2 )y - 3
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25 POINTS PLEASE HELP ! Are the expressions [tex]-3^{2}[/tex] and [tex](-3)^{2}[/tex] equivalent? explain
Answers
The value of the expressions are not equal
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
p = -3²
q = ( -3 )²
On simplifying the equations , we get
The value of p = -9
The value of q = 9
So , the value of p and q are not equal
Hence , the equations are not equal
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You are deciding what carb you want to eat for dinner, and you decide to look at the ratio of cooking times between rice to pasta. Rice takes 20 minutes to cook, and pasta takes 12. What is the ratio of cooking times for the rice to pasta?
(Make sure your ratio is simplified for your final answer)
Answers
5 : 3 is the ratio of cooking times for the rice to pasta .
What does a math ratio mean?
When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.
You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Rice takes 20 minutes to cook
pasta takes 12
the ratio of cooking times for the rice to pasta = 20 : 12
= 5 : 3
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Divide the following fractions!
Answers
Answer: a - a / (7a/3 - 21b)
Step-by-step explanation:
First, let's simplify the numerator:
(a^2 - 3ab) / 3b = a^2/3b - 3ab/3b = a^2/3b - a
Next, we'll simplify the denominator:
7a - 21b = 7a/3 - 7b
Now, we can simplify the entire expression:
(a^2/3b - a) / (7a/3 - 7b) = (3b * a^2/3b - 3b * a) / (7a - 21b * 3) = a - a / (7a/3 - 21b)
Consider DEF in the figure below.
The perpendicular bisectors of its sides are XW, YW, and ZW. They meet at a single point W.
(In other words, W is the circumcenter of ADEF.)
Suppose YW=24, DZ=66, and FW=74.
Find EY, DW, and DE.
Note that the figure is not drawn to scale.
Answers
On solving the provided question, we can say that in the provide quadrilateral DE = 132, DW = 74, EY = 70.
Describe the quadrilateral.In terms of geometry, a quadrilateral is a four-sided polygon with four edges and four corners. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is a two-dimensional form with four sides, four vertices, and four corners.
Two main types of concave and convex exist. Convex quadrilaterals also have a number of subclasses, such as trapezoids, parallelograms, rectangles, rhombuses, and squares. A rectangle is a two dimensional shape with four straight sides. Quadrilaterals come in many various shapes, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,in the provide quadrilateral
The perpendicular bisectors of Its sides are X W, Y W, and Z W. They meet at a single point W.
from the question. So EW = DW = FW
and DZ=EZ
SO DE = 2 (DZ) = 2 × 66 = 132
EW = FW = DW = 74.
at At right triangle, EWY.
EW= 74, YW=24
Using Pythagoras theorem,
So EX² = EW²- WY² = 74² - 24² = 4900
EY = √4900 = 70.
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Use a sketch to find the exact value of the following expression.
sec[sin^-1(-4/7)]=
Answers
The exact value of the expression is 7√33/33
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given expression is sec[sin⁻¹(-4/7)]
We need to fine the exact value of the expression
sec[sin⁻¹(-4/7)]=√1-(-4/7)²/1-(-4/7)²
=√(1-16/49)/1-16/49
=√(1-16/49)/1-16/49
=√33/7/33/49
=√33/7×49/33
=7√33/33
Hence, the exact value of the expression is 7√33/33
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Find the inverse of the equation
Answers
The inverse of the equation is f-1(x) = 2/(x - 3)
How to determine the inverse of the equationFrom the question, we have the following parameters that can be used in our computation:
f(x) = (3x + 2)/x
Express as
y = (3x + 2)/x
Swap x and y
This gives
x = (3y + 2)/y
So, we have
xy = 3y + 2
This gives
y(x - 3) = 2
Make y the subject
y = 2/(x - 3)
Hence, the inverse is f-1(x) = 2/(x - 3)
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Write an equation of the line that passes through (-4,-1) and is perpendicular to the line y=x+6
Answers
Answer:
y = -x + 5
Step-by-step explanation:
To find the equation of the line that is perpendicular to the line y = x + 6 and passes through the point (-4, -1), we'll use the slope-point form of the equation of a line. The slope of a line perpendicular to y = x + 6 is -1, which we can find using the negative reciprocal of the slope of y = x + 6. The slope of y = x + 6 is 1. The negative reciprocal of 1 is -1.
So the equation of the line perpendicular to y = x + 6 that passes through the point (-4, -1) is given by:
y - (-1) = -1(x - (-4))
Expanding and simplifying the right-hand side, we get:
y + 1 = -x + 4
y = -x + 5
Find the slope of 5,-7 and 6,-4
Answers
The slope from points (5, -7) and (6, -4) is 3.
The slope of a line:The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.
The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by
Slope of a line (m) = [y₂ - y₁]/[x₂ - x₁]Here we have
Points (5, -7) and (6, -4)
As we slope of the line is [y₂ - y₁]/[x₂ - x₁]
Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)
Slope from given points = [-4 - (-7) ]/[6 - 5]
= [-4 + 7) ]/[1] = 3
Therefore,
The slope from points (5, -7) and (6, -4) is 3.
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If F(X)=11x-7, express in terms of P find F(p)
Answers
Answer:
Step-by-step explanation:
99.5 x 54 add 10
Data plans from phone company A costs $50.00 for 10G. Company B charges $65.00 for 12 G. Which is the better rate? PLEASE Show your work!!!!
Answers
To find out how much each G costs for each company, we can use this equation:
Total price ÷ Number of G's = Each G's priceFitting the company's number into the equation would look like this:
Company A: 50 ÷ 10 = 5So, company A charges $5 for each G purchased.
Company B: 65 ÷ 12 = 5.42 (Rounded to the nearest hundredth)Company B charges $5.42 for each G purchased.Therefore, company A charges $5 for each G, while company B charges $5.42, making company A have a better rate.
On the coordinate plane, what is the distance between (3, -4) and (-3, -4)?
Answers
Given there is a common y-value in both points, all we have to do is find the distance between 3 and -3. Because 3 - (-3) = 6, the distance between these points is 6 units.
Which statement describes the end behavior of a given function? g(x)=x^2 + 5x/3x
Answers
Answer:
as x approaches - infinity g(x) approaches - infinity and as x approaches infinity g(x) approaches infinity
Step-by-step explanation:
so the third answer
Two cars, an Audi and a Tesla, travel a 100 mile journey.
Which car is fastest and by how much?
Write Audi or Tesla in the first box and state your answers in mph in the second box
100-
80
60-
40
20
100
Distance from starting point tri
80-
60-
40
20-
N+
Audi
2
2
Distance from starting point (miles)
Time (hours)
Tesla
2.
Time (hours)
Answers
Two cars, an Audi and a Tesla, travel a 100 mile journey. The fastest car is Audi by 30mph.
What is distance?While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."
The formula of the speed is given as:
Speed = distance / time
For Audi:
Speed = 100 / 2 = 50 mph
For Tesla:
Speed = 100 / 5 = 20mph
The difference between their speeds is:
50 - 20 = 30mph
Hence, the fastest car is Audi by 30mph.
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Zara can exchange dollars ($) for pounds (£) at the rate $1 = £0.64. She can exchange dollars ($) for euros (€) at the rate $1 = €0.78. Complete the statement to show the exchange rate between pounds and euros. Exchange rate £1 = €............
Answers
Answer:
£1 = €1.21875
Step-by-step explanation:
We have the following exchange rates
$1 = £0.64
and
$1 = €0.78
Equating the two values on the right side since they both convert to $1 gives us
£0.64 = €0.78
Divide both sides by 0.64 to see how much a pound is worth when converted to euros
0.64/0.64 = 0.78/0.64
£1 = €1.21875
Eddie made a video. The video included 5-minute introduction followed by short segments. Each segment was 8 minutes long. Eddie's video was 149 minutes long. How many segments were in Eddie's video?
WILL GIVE BRAINLIEST!
Answers
there are 8 sprinters in the olympic 100-meter finals. three of the sprinters are americans. the gold medal goes to first place, silver to second, and bronze to third. in how many ways can the medals be awarded if at most one american gets a medal?
Answers
The total number of ways medals be awarded when at most one American gets a medal is equal to 40 ways.
Total number of sprinters in the Olympic of 100-meter finals = 8
Total number of sprinters Americans has in Olympic = 3
Number of sprinters of other country = 8 - 3
= 5
Number of medals be awarded = 3
Condition for medals to be awarded :
Possibility for American to get medals at most one:
Either 0 or 1.
Number of ways medals be awarded
= ⁵C₂³C₁ + ⁵C₃³C₀
= (5!/ 3!2!)(3!/2!1!) + ( 5!/ 3!2!)( 3! / 3!0!)
= (10 × 3) + ( 10 × 1 )
= 30 + 10
= 40 ways
Therefore, the number of ways medals be awarded with the given condition is equal to 40.
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write the following as an algebraic equation . Use x as the unknown and use a sum.
Sum of a number and its equivalent to 115.6
Answers
The value of unknown number is 57.8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the unknown number.
Sum of a number and its equivalent to 115.6
The equivalent number value will be also same as the unknown number.
x+x=115.6
2x=115.6
Divide both sides by 2
x=115.6/2
x=57.8
Hence, the value of unknown number is 57.8.
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Which fraction of the whole circle is this sector?
Answers
The fraction of the whole circle denoting the sector is 23/72.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The whole circle has an angle of = 360°.
The measure of the sector of the angle is = 115°.
The fractional value of the sector is -
Measure of Sector angle / Measure of whole circle angle
Substitute the value into the expression -
115/360
23/72
Therefore, the fraction is 23/72.
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suppose that 17 boys and 22 girls are randomly lined up. what is the probability that the 27th person is a boy?
Answers
Using probability we know that there is a 43% chance that the 27th person in the line would be a boy.
What is probability?Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
So, we know that:
The boys are 17.
The girls are 22.
Probability formula: P(E) = Favourable events/Total events
Then, the probability that the 27th person is a boy:
P(E) = Favourable events/Total events
P(E) = 17/39
P(E) = 0.43
P(E) = 43%
Therefore, using probability we know that there is a 43% chance that the 27th person in the line would be a boy.
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OATB is a parallelogram. M, N and P are midpoints of BT, AT and MN respectively.
O is the origin and the position vectors of A and B are a and b respectively. Find in
terms of a and/or b:
a) MT
b) TN
C) MN
D) the position vector of P, giving your answer in simplest form.
Answers
A parallelogram with vertices O, A, B, and C can be represented as O + a = B, and O + b = A.
What are the responses to other questions?a) MT is the midpoint of BT, which can be represented as (O + b + B)/2 = (O + B)/2 + (b/2). Therefore, MT = (b/2).
b) TN is the midpoint of AT, which can be represented as (O + A)/2 + (a/2). Therefore, TN = (a/2).
c) MN can be represented as B - A = a - b. Therefore, MN = a - b.
d) P is the midpoint of MN, which we already found to be a - b. Therefore, the position vector of P is (a - b)/2.
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an airline serves a dinner to all the passengers on an airplane. they get their choice of steak or fish. three steak meals and three fish meals are set aside for the six-member crew. if the meals are distributed to the crew members randomly, what is the probability that both pilots get the fish?
Answers
I think the answer is
1/5 or 20%
Sorry if I'm wrong
Eight bands are to perform at a weekend festival. How many different ways are there to schedule their appearances?
Answers
By using the permutation formula, it can be concluded that there are 40320 ways to schedule the bands' appearances.
Permutations are different arrangements of elements formed from n elements, taken from n or some elements. In permutation, arrangement, or order matter.
P(n,r) = n! / (n-r)! where:
n = number of objects
r = number of objects selected
If we want to know the ways to schedule the bands' appearances, it means that the arrangement matter. Thus we have to use the permutation formula:
P(n,r) = n! / (n-r)!
P(8,8) = 8! / (8 - 8)!
= 8!
= 40320 ways
Thus, there are 40320 ways to schedule the bands' appearances.
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Log base 7(log base 2(3x-2))=1
Answers
The value of 'x' in the expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex] is, 1/3.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, A logarithmic expression [tex]log_{7}(log_2(3x - 2) ) = 1[/tex].
[tex]log_7^{log_{7}(log_2(3x - 2) )} = log_71[/tex].
[tex]log_2(3x - 2) = log_71[/tex]. (7⁰ = 1)
[tex]log_2(3x - 2) = 0[/tex].
[tex]\frac{log_23x}{log_22} = 0[/tex].
[tex]log_23x = 0[/tex].
2⁰ = 3x.
1 = 3x.
x = 1/3.
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Answer the attached imagine. Please and thank you.
Answers
The solution of the given equation is -4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equations is 3|5 - x| + 2 = 29
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
3|5 - x| =27
5-x=9
x=-4
Therefore, the solution of an equation is -4.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the solution set for the equation below.
3|5 - x| + 2 = 29
Store #1 sold packages of eggs 1 dozen (12) for $1.44 a package. Store #2 sold packages of eggs 3 dozen (36) for $4.68. Which has the better price? Show the comparing prices.
Answers
Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.
Store #1:
Price per egg = $1.44 / 12 = $0.12
Store #2:
Price per egg = $4.68 / 36 = $0.13
Store #1 has the better price as it is cheaper per egg.
Price comparison:
Store #1: $0.12 per egg
Store #2: $0.13 per egg
Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.
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