Answer:
Neither of them are solutions unless you had a typo in the question.
Step-by-step explanation:
1) plug in the known values into both of the equations
First Coordinate:
y-x[tex]\leq[/tex]-5
(1)-(0)[tex]\leq[/tex]-5
1[tex]\leq[/tex]-5 which is not true.
In this case, we do not need to plug in (0,1) into both of the equations because the coordinate cannot be a solution unless the coordinate works in BOTH of the equations.
Second Coordinate:
1) y-x[tex]\leq[/tex]-5
(-6)-(-1)[tex]\leq[/tex]-5
(-6)+1[tex]\leq[/tex]-5 --> It becomes a +1 because two negatives make a positive
-5 [tex]\leq[/tex]-5 - -> which means this is true because -5 is less than or equal to -5
2) y-2x>-5
(-6)-2(-1)>-5
-6(2)>-5
-12>-5 NOT TRUE
ANSWER: Neither of them are solutions unless you had a typo in the question.
HELP MEEEEE PLEASEEEE
Aaliyah was given a gift card for a coffee shop. Each morning, Aaliyah uses the card to
buy one cup of coffee. The original amount of money on the gift card was $30 and
each
сир of coffee costs $2. Make a table of values and then write an equation for A,
in terms of x, representing the amount money remaining on the card after buying a
cups of coffee.
The equation in terms of x, which represents the amount of money left on the gift card of Aaliyah upon buying a cup of coffee is; A = 30 - 2x dollars.
Define the term equation?A single mathematical phrase is referred to as a term. It could be a single number (negatively or positively), a single variable (a letter), or a combination of variables multiplied but still never added or eliminated. Variables with such a number ahead of them are used in some words. A coefficient is the number that appears ahead of a phrase.The original value of the gift card was $30.
Coffee costs $2 per cup.
Let 'x' be the number of cup of coffee purchased by Aaliyah.
Total cost be 'A' be paid by her.
Thus, the equation in terms of x, which represents the amount of money left on the gift card upon buying a cup of coffee is;
A = 30 - 2x dollars.
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Which of the contexts below represents exponential growth?
An amusement park charges $3.50 to go on each of the rides.
A town's population grows at a rate of 5.3% every year.
The amount of a certain medication in a person's bloodstream decreases by 2/5
every minute.
A town's population shrinks at a rate of 9.7% every year.
Answer:
A town's population grows at a rate of 5.3% every year.
The values in the table represent a linear function. x 1 2 3 4 f(x) 1 4 7 10 What is the function rule? Write the rule in function notation, using the slope-intercept form of a line. Enter your answer in the box.
The rule in expressed in function notation and slope-intercept form of a line is f(x) = 3x -2
How to express the rule in function notation using the slope-intercept form of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system
The equation of a line in slope-intercept form is y = mx + c.
Where m is the slope and c is the intercept
In order to obtain the equation of the line, we are going to pick any two convenient values of x and y from the table. Let's pick the first and last point. Thus:
point1: x₁ = 1, y₁ = 1
point2: x₂ = 4, y₂ = 10
Using the equation for 2 points:
y-y₁ / y₂-y₁ = x-x₁ / x₂-x₁
y-1 / 10-1 = x-1 / 4-1
y-1 / 9 = x-1 /3
3(y-1) = 9(x-1)
y-1 = 3(x-1)
y-1 = 3x -3
y = 3x -3+1
y = 3x - 2
Thus, f(x) = 3x -2
Therefore, the rule in function notation, using the slope-intercept form of a line is f(x) = 3x -2
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An uber charge a flat rate of $20 plu $2 per mile. Lyft charge a flat rate of $15 plu $4 per mile. Write an equation to find the number of mile m for which uber and lyft would cot the ame amount
The required equation is 20 + 2m = 15 + 4m. The number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.
Uber charges a flat rate of $20 plus $2 per mile. Lyft charges a flat rate of $15 plus $4 per mile. We need to find out the equation and the number of miles for which Uber and Lyft would charge the same amount for the ride.
Let the charge of Uber and Lyft be represented by the variables C1 and C2. We can write the equations given below.
C1 = 20 + 2m
C2 = 15 + 4m
We need the charge for both companies to be equal.
C1 = C2
20 + 2m = 15 + 4m
Hence, the required equation is 20 + 2m = 15 + 4m. Now we will solve this equation to find the number of miles.
2m = 5
m = 2.5
Hence, the number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.
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Guys, what is the answer to 5-x=12?
Answer:
x= -7
Step-by-step explanation:
here you go.....
please mark brainliest
Need help lol for this
In the given rectangle, the values of f and g are the same that is 2√6cm.
What are rectangles?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Therefore, a particular case of a square is a rectangle. To put it another way, a rectangle can also be a square (when all sides to are equal).So, the values of f and g are:
We know that APQD is a square and its area is 24 cm².Now, calculate the sides as follows:
Formula: A = s²
24 = s²s = √24s = √2×2×2×3s = 2√6So, each side of APQD measures 2√6cm.
So, DQ (g) = 2√6cmNow, we know that ABCD is a rectangle and we know that AD || CB and AD = CD.Then,
AD = CB = 2√6cmSo, CB (f) = 2√6cmTherefore, in the given rectangle, the values of f and g are the same that is 2√6cm.
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the length of time for one individual to get to a construction site is a random variable having an exponential distribution with a mean of 4 minutes. what is the probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days?
The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.
Given,
Mean = 4 minutes
= 1/4
= 0.25
The probability that someone will be attended to in less than three minutes on any given day is:
P( X ≤3)
= 1- e⁻⁰²⁵⁽³⁾
= 0.5267
The probability is:
P( X ≥ 4)
= P( X = 4) +P( X = 5 ) + ( X = 6)
= 0.2594 + 0.1159 + 0.216
= 0.3969
The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.
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an old-model machine can stamp 1000 parts in four hours. a newmodel machine can stamp 1000 parts in just two hours. how long will it take one old-model and one new-model machine to stamp 1000 parts working together?
It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.
Given that;
Finding the hourly cost of stamping parts for each machine is one way to approach this issue.
In 4 hours, the outdated equipment can stamp 1000 pieces. That means that it produces 250 parts per hour (1000 divided by 4). The new machine produces 1000 parts in two hours, which translates to 500 components every hour of stamping (1000 divided by 2).
If t is the amount of time that both machines are simultaneously stamping, then to determine the output, which must be 1000 parts, we simply multiply the rates of the two machines by t.
By multiplying the unknown time, t, by each of the two machines' rates and setting the result equal to 1000, it is possible to determine the precise amount of time required. Equation form of this is;
250t + 500t = 1000
750t = 1000
t = 1000/750
t = 1.333
It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.
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Which inequality correctly compares One-half, Three-fourths, and Two-thirds?
One-half < Three-fourths < Two-thirds
One-half < Two-thirds < Three-fourths
Two-thirds < One-half < Three-fourths
Three-fourths < One-half < Two-thirds
An inequality correctly compares One-half, Three-fourths, and Two-thirds is: One-half < Two-thirds < Three-fourths.
What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values (numbers) and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Translating the numbers in word to numerical values, we have:
One-half = 1/2 or 0.5
Three-fourths = 3/4 or 0.75
Two-thirds = 2/3 or 0.67
Next, we would compare the above numerical values by using the less than (<) inequality symbol as follows:
0.5 < 0.67 < 0.75
One-half < Two-thirds < Three-fourths.
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tim and angel are working on promoting an event for a club they are in on campus. in one afternoon tim can make 4 flyers or 5 posters, and angel can make 3 flyers or 6 posters. if you were to graph angel's ppc with posters on the horizontal axis, what would be the slope of her ppc
If we graph the angel's ppc then the slope of angel's ppc will be -1.
Given, Tim and Angel are working on promoting an event for a club they are in on campus.
In one afternoon, Tim can make 4 flyers or 5 posters, and Angel can make 3 flyers or 6 posters.
we have to find the slope of the angel's ppc if we graph the angel's ppc.
As, the graph of the angel's ppc will pass through the point (3 , 6).
so, the slope = (6 - 5)/(3 - 4)
slope = 1/-1
slope = -1
Hence, if we graph the angel's ppc then the slope of angel's ppc will be -1.
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How was the Greeks and mathematics related
Greek mathematicians, who were first influenced by the Egyptians, would go on to produce innovations like Pythagoras' theory of right-angled triangles and, by concentrating on the abstract, bring accuracy and clarity to venerable mathematical conundrums.
How related Greeks and mathematics?Modern mathematics was created as a result of the contributions made by the ancient Greeks to the subject. The Greeks generally concentrated on geometry in an effort to describe shapes using numbers. This emphasis produced a number of quite important discoveries, many of which are still applicable to the mathematics we practice today.Miletus, a city of Ionia in Asia Minor and the cradle of Greek philosophy, mathematics, and science, was the location of the greatest Egyptian and Babylonian influence.Modern mathematics was created as a result of the contributions made by the ancient Greeks to the subject. The Greeks generally concentrated on geometry in an effort to describe shapes using numbers.To learn more about Greeks and mathematics refer to:
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factorise 2x^[2]-9x-5
Answer:
(2x + 1) and (x - 5)
Step-by-step explanation:
(2x + 1)(x - 5) = 2x^2 - 9x - 5
can someone please help me solve this paper
the given expressions solved by using factorization.
What is factorization of the expression ?
To factorize an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse.
Here
4) [tex]x^4-36[/tex]
=> [tex](x^2)^2 -6^2[/tex]
=> [tex](x^2-6)(x^2+6)[/tex]
5)64[tex]c^3+1[/tex]
=> [tex](4c)^3+1^3[/tex]
=> (4c+1)([tex](16c^2+4c+1)[/tex]
6)[tex]k^3-27[/tex]
=> [tex]k^3-3^3[/tex]
=>(k-3)([tex]k^2+3k+9[/tex])
7)[tex]54x^3+250y^3[/tex]
=> 2([tex]27x^3+125y^3[/tex])
=> 2([tex](3x)^3+(5y)^3[/tex])
=> 2 ( 3x+5y)([tex]9x^2+15xy+25y^2[/tex])
8)[tex]3m^4-48n^2[/tex]
=> 3([tex](m^2)^2-(4n)^2[/tex])
=> 3[tex](m^2-4n)(m^2+4n)[/tex]
9)[tex]a^7b^2-ab^2[/tex]
=> [tex]ab^2(a^6-1)\\[/tex]
=>[tex]ab^2(a^3-1)(a^3+1)[/tex]
=> [tex]ab^2(a+1)(a-1)(a^2-a+1)(a^2+a+1)[/tex]
10)[tex]x^3y^2-343y^5[/tex]
=> [tex]y^2(x^3-(7y)^3)[/tex]
=>[tex]y^2(x-7y)(x^2-7xy+49y^2)[/tex]
11)[tex]9y^7-144y[/tex]
[tex]= > 9y(y^6-16)\\= > 9y((y^3)^2-4^2)\\= > 9y(y^3+4)(y^3-4)[/tex]
Hence we can solve by using factorization formula.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,280 ft Determine the flag's width and length if the length is 400 ft greater than the
width
The length of rectangle is 1170 ft and width is 770 ft.
Define perimeter.The perimeter of a form is the space surrounding its edge. A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)2.
Given,
The perimeter of the flag is 2,280 ft .
Length = 400 ft
Let l represent the size of the flag.
and
The width is w.
then in line with the preceding statement
l = w+400
Sphere size is 2280 feet.
The perimeter formula is provided by:
Perimeter = 2(Length + Width)
2280 = 2( w + w+ 400)
2280/2 = 2w - 400
1140 + 400 = 2w
1540 = 2w
width = 770
Length = 770 + 400
Length = 1170
The length of rectangle is 1170 ft and width is 770 ft.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.
In the given question,
The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;
C(x) = 3x^2-1500x+199,000
(a) In the given question we have to find the number of bicyles that must be manufactured to minimize the cost.
The given function is
C(x) = 3x^2-1500x+199,000
To find the maximum or minimum value we firstly find the value of f'(x).
C'(x) = 6x-1500
Now put f'(x)=0
6x-1500=0
Add 1500 on both side, we get
6x=1500
Divide by 6 on both side we get
x=250
Hence, the number of bicycles that must be manufactured to minimize the cost of 250.
(b) Now finding the value of function at x=250
C(250) = 3(250)^2-1500*250+199,000
C(250) = 3*62,500-375,000+199,000
C(250) = 187,500-375,000+199,000
C(250) = 11,500
The minimum cost is $11,500.
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Screams Halloween Theme Park
reduced their admission rates by 10% this
year to try and increase their attendance. If
last year’s admission price was $35 per
person, what is this year’s admission price?
Answer:
$32.50
Step-by-step explanation:
10% of 35$ is $3.50 if ur decreasing $35 by 10% it will be $3.50-$35=$32.50
Please Help!
Solve the inequality and graph it’s solution.
PLEASE ANSWER
What are the coordinates of the point that is one half the distance between A(−1, −2) and B(6, 12)?
( , )
The equation of line s is y=3/5x2/5 Line t, which is parallel to line s, includes the point
(2, 1). What is the equation of line t?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
8
The equation of line t in slope intercept form is 5y - 3x = -1
The equation of line s is y=3/5x + 2/5
This is in the slope intercept form
y = mx + c
where m represents the slope of the line
The slope of the line y=3/5x + 2/5 is 3/5
The slope of two parallel line is same
The slope of line t is 3/5, it passes through the points (2, 1)
The equation of the line is
y - y₁ = m(x - x₁)
y - 1 = 3/5 (x - 2)
5y - 5 = 3x - 6
5y - 3x = -6 + 5
5y = 3x -1
y = 3/5 x - 1/5
Therefore, the equation of line t in slope intercept form is 5y - 3x = -1
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Describe the end behavior of each fund f(x) = x4 - x2 - x
Answer:
[tex]\lim_{x \to -\infty} f(x) = \infty[/tex] and [tex]\lim_{x \to \infty} f(x) = \infty[/tex]
Hope this helps!
Step-by-step explanation:
Can someone help me please?
Question 1
[tex]\frac{a-0}{a-0}=1[/tex]
Question 2
[tex](1)(-1)=-1[/tex]
I need help to solve this please!!
Answer:
Adult is 10$ and Child is 7$.
Unfortunately for the family, they do not have enough to go to the theater. They do not have that extra dollar.
Hope this helps!
Step-by-step explanation:
2x + 4y = 48
5x + 2y = 64
2x + 4y = 48
10x + 4y = 128
( 10x - 2x ) + ( 4y - 4y ) = ( 128 - 48 )
8x = 80
x = 10
2 ( 10 ) + 4y = 48
20 + 4y = 48
4y = 48 - 20
4y = 28
y = 7
PLEASE HELP!!!!!!! A warehouse store sells 5.5-ounce cans of tuna in packages of 5. A package of 5 cans costs $10.45. The store also sells 4.5-ounce cans of the same tuna in packages of 8. A package of 8 cans costs $12.96. The store sells 3.5-ounce cans in packages of 4 cans for $4.76. Which package is the best buy? find the one with the smallest unit rate!!!
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,
⇒ ($10.45 x 5) / (5.5 x 5 x 5)
⇒ $0.38 per ounce
The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,
⇒ ($12.96 x 8) / (4.5 x 8 x 8)
⇒ $0.36 per ounce
The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,
⇒ ($4.76) / (3.5 x 4)
⇒ $0.34 per ounce
Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.
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a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 15 ft from the base of the pole?
The speed of the tip of her shadow would be 5.714 ft/sec. ft/sec.
let H, be the height of the pole = 20 ft.
h, be the height of the woman = 6 ft.
x, be the length of the woman's shadow,
and s, be the distance from the pole to the woman = 15
by using the equation of similar triangles,
[tex]\frac{H}{h} = \frac{(s+x)}{x}[/tex] or Hx = h(x+s)
differentiating, [tex]H\frac{dx}{dt} = h (\frac{ds}{dt} + \frac{dx}{dt} )[/tex]
[tex]20\frac{dx}{dt} = 6(4 + \frac{dx}{dt} ) = 24 + 6 \frac{dx}{dt}[/tex]
[tex]14\frac{dx}{dt} = 24[/tex],
[tex]\frac{dx}{dt} = \frac{24}{14}[/tex] ≈ 1.714 ft/sec, is how fast her shadow is lengthening.
the speed of the tip of her shadow would be the speed of shadow lengthening + speed of her traveling = 1.714 + 4 = 5.714 ft/sec.
thus, a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. the speed of the tip of her shadow would be 5.714 ft/sec.
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at the end of 12 months, the owner determined that the average weekly sales of organic fruit displayed at the front of the store were greater than the average weekly sales of organic fruit displayed at the back of the store. the difference was statistically significant. what can be concluded from the study?
The 12 months past and the fruit turned into sonic the hedge hog #PERIODAHHPERIODUHH
use mental math to subtract. 8,329-7,218=
Answer:
1111
Step-by-step explanation:
Tony is decorating a ballroom ceiling with garland. If the rectangular ceiling is 5 meters by 12 meters, how much garland will Tony need to reach from one corner of the ceiling to the opposite corner?
Answer: 13
Step-by-step explanation: 5, 12, and 13 is a Pythagorean Triple so if 12 were replaced with 13 in the word problem the answer would be 12 because all these numbers "travel" together.
Tony would require 13 meters of garland to reach from one corner to the opposite corner of the rectangular ceiling.
The ceiling of the ballroom is rectangular in structure.
The dimensions of the rectangle are 12 by 5 meters.
So we have to find the length of the diagonal of the ceiling which is the length from one corner to the other.
We will use Pythagoras theorem to calculate the length of the diagonal.
12² +5 ² = D²
or, D² = 144 + 25
or, D =√169
or, D = 13
Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares on the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.
The hypotenuse in this case is the longest side because it is located across from the 90° angle. A right triangle's positive integer sides are squared to produce a Pythagorean triple equation.
Hence Tony will need 13 meters of garland.
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a subset of the whole population selected to be questioned for the purposes of prediction or gauging opinion is called
The sample is a subset of the whole population selected to be questioned for the purposes of prediction or gauging opinion .
A sample is a collection of people, things, or things used in research that is taken for analysis from a larger population. To enable us to extrapolate the research sample's findings to the entire population, the sample must be representative of the population.
We must utilize inferential statistics to discover a population's characteristics by directly observing only a subset (or sample of the population) in order to derive conclusions about populations from samples.
Since it is frequently impractical and hardly ever possible, we acquire a sample of the population.
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Deshaun works as a busboy making $9 per hour and as a theater usher making $10 per hour. Let b be the number of hours he works as a busboy this
month, and let u be the number of hours he works as an usher.
His goal this month is to earn more than $1400 total
Answer:
[tex]9b + 10u > 1400[/tex]
