Graph the following inequality and then select the correct graph below. x + y < 1
( first answer choice is a dotted vertical graph shaded down)
(second answer is a vertical line graph shaded up)
plsss help
Answers
Answer:
Given inequality,
[tex]x+y<1[/tex]
For graphing the inequality :
The related equation of the given inequality,
x + y = 1
Having the x-intercept = (1,0),
y-intercept = (0,1),
Also, at (0,0),
0 + 0 < 1 ( True )
⇒ The area of the given inequality x + y < 1 must contain the origin.
Now, '<' show the dotted line.
Thus, by the above explanation we can plot the graph of the given inequality.
Related Questions
Which triangle is similar to /\JKL
A. /\JKM
B. /\MKL
C. /\KML
D. /\LJK
Answers
Answer:
ΔKML Option C
Step-by-step explanation:
Given right triangle is ΔJKL
Where ∠JKL = 90°
Here KM is perpendicular to LJ.
In triangle ΔJKL & ΔKML
∠JKL ≅ ∠KML (both are right angle)
∠JLK ≅ ∠KLM (common angle in both the triangles)
So,
ΔJKL is similar to ΔKML.
That's the final answer.
I hope it will help you.
A particle moves along the curve below. y = 24 + x3 as it reaches the point (1, 5), the y-coordinate is increasing at a rate of 4 cm/s. how fast is the x-coordinate of the point changing at that instant?
Answers
To find the rate of change of the x-coordinate at the point (1, 5) with a given y-coordinate rate of change, we use the chain rule to differentiate the equation y = 24 + [tex]x^3[/tex] with respect to time, and solve for dx/dt.
Explanation:The student's question involves the relationship between the rates of change of the x-coordinate and y-coordinate of a particle moving along a curve. Given the equation y = 24 +[tex]x^3[/tex], we need to find how fast the x-coordinate is changing at the point (1, 5), given that the y-coordinate is increasing at a rate of 4 cm/s. To find this, we can use the chain rule from calculus to relate the rates of change. Differentiating both sides with respect to time t, we get dy/dt = 3[tex]x^2[/tex] dx/dt. Solving for dx/dt, we find the rate of change of the x-coordinate when x = 1 and dy/dt = 4 cm/s.
At the point (1, 5), [tex]\( \frac{{dx}}{{dt}} = \frac{4}{3} \)[/tex] cm/s when [tex]\( \frac{{dy}}{{dt}} = 4 \)[/tex] cm/s.
To find how fast the x-coordinate is changing [tex](\( \frac{{dx}}{{dt}} \))[/tex] when the y-coordinate is increasing [tex](\( \frac{{dy}}{{dt}} \)),[/tex] we'll use implicit differentiation.
Given [tex]\( y = 24 + x^3 \),[/tex] differentiate both sides with respect to time [tex](\( t \)):[/tex]
[tex]\[ \frac{{dy}}{{dt}} = \frac{{d}}{{dt}}(24 + x^3) \][/tex]
Given that [tex]\( \frac{{dy}}{{dt}} = 4 \)[/tex], and when [tex]\( x = 1 \) and \( y = 5 \),[/tex] we can find [tex]\( \frac{{dx}}{{dt}} \):[/tex]
[tex]\[ 4 = 0 + 3x^2 \cdot \frac{{dx}}{{dt}} \][/tex]
[tex]At \( x = 1 \):[/tex]
[tex]\[ 4 = 3(1)^2 \cdot \frac{{dx}}{{dt}} \][/tex]
[tex]\[ 4 = 3 \cdot \frac{{dx}}{{dt}} \][/tex]
[tex]\[ \frac{{dx}}{{dt}} = \frac{4}{3} \][/tex]
So, the x-coordinate of the point is changing at a rate of [tex]\( \frac{4}{3} \)[/tex] cm/s at that instant.
There are 6,657 marbles in a jar. approximately 34% are white, and the rest are black. how many black marbles are there?
Answers
If 100% = 1.00, then 66% = 0.66.
Now, you just need to multiply the total by this decimal in order to find the number of black marbles:
6657 x 0.66 = 4393.62, which can be rounded to 4394
Therefore, there are about 4394 black marbles in the jar.
I hope this helps!
To find the number of black marbles, calculate the percentage of white marbles first and then subtract it from the total marbles, there are 4,394 black marbles in the jar.
To find the number of black marbles:
Calculate the number of white marbles: 34% of 6,657 = 0.34 x 6,657 = 2,263.Subtract the number of white marbles from the total marbles to find the number of black marbles: 6,657 - 2,263 = 4,394.Therefore, there are 4,394 black marbles in the jar.
The bottom of a ladder must be placed 4 feet from a wall. the ladder is 12 feet long. how far above the ground does the ladder touch the wall? round your number to the nearest tenth.
Answers
a^2+b^2=c^2
c=12
a=4
16 + b^2 = 144
b^2 = 128
b = 11.3
There are 11.3 feet far above the ground does the ladder touch the wall.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The bottom of a ladder must be placed 4 feet from a wall. the ladder is 12 feet long.
Now, Let the length of the ladder above the ground does the ladder touch the wall = x
Hence, We get;
x² = 12² - 4²
x² = 144 - 16
x² = 128
x = √128
x = 11.3 feet
Thus, the length of the ladder above the ground does the ladder touch the wall = 1.3 feet
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
Find the point of intersection of the pair of straight lines. 2x + 6y = 26 −9x + 7y = 2
Answers
7/2
7t + 4 is less than or equal to 3t
Answers
4 is less than or equal to -4t
Divide 4from -4
-1 is less than or equal to t
Here is my work for if 7t + 4 < 3t:
4 < 3t - 7t
4 < -4t
t < -1
Even if u do greater than, less than, or equal to it would all have the same answer, it would be t < -1, t > -1, and t = -1. Either way u do it, it will still have the same answer so in terms u can say answer is both or all of the above.
Please help! What is the solution of 4|x-3|-8=8?
A) x=-1 or x=7
B) x=19/4 or x=7
C) x=-1 or x=19/4
D) x=3/4 or x=19/4
Answers
Seventy-five times an integer, minus 36, equals 21 times the square of the integer. Which equation could be used to solve for the unknown integer?
Answers
The equation: [tex]\( 21x^2 - 75x + 36 = 0 \)[/tex] represents "75 times an integer minus 36 equals 21 times the square of the integer."
To solve this problem, let's represent the unknown integer with the variable [tex]\( x \)[/tex]. Then we can set up the equation based on the given information.
The problem states: "Seventy-five times an integer, minus 36, equals 21 times the square of the integer."
Mathematically, this can be represented as:
[tex]\[ 75x - 36 = 21x^2 \][/tex]
So, the equation that could be used to solve for the unknown integer is:
[tex]\[ 21x^2 - 75x + 36 = 0 \][/tex]
2x+4=9 or (2x+10)=40
Which one of these is open?
Answers
Hope this helps!
Please help!
Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.
Answers
part B: x can be any number. 6 to the 0 power is 1 and 1 to any power is 1
Two geometric figures that are identical in shape, although not necessarily the same size, are called ____.
Answers
On the coordinate plane, the four corners of Alejandro's garden are located at (0,2), (4,6), (8,2), and (4,-2). Which shape most accurately describes the shape of Alejandro's garden?
The garden is in the shape of a ____
.
Answers
Write an equation in point-slope form of the line through point J(4, -4) with slope 4.
a. y+4=4(x+4)
b. y+4=4(x-4)
c. y-4=4(x+4)
d. y+4=-4(x-4)
Answers
y - y1 = m(x-x1)
where,
m = slope
x1 = x coordinate of point the line goes through
y1 = y coordinate of point the line goes through
In this case,
m = 4
x1 = 4
y1 = -4
So,
y - y1 = m(x - x1)
y - y1 = 4(x - x1) ... replace m with 4
y - y1 = 4(x - 4) ... replace x1 with 4
y - (-4) = 4(x - 4) ... replace y1 with -4
y + 4 = 4(x - 4) ... rewrite y-(-4) as y+4
Making the answer to be choice B
NEED ANSWER ASAP!!! THANKS!!
A fish swims at a speed of 12 miles per hour. A boy swims at a speed of 4.4 feet per second.
3 ft = 1 yd
5280 ft = 1 mi
How much faster does the fish swim than the boy in yards per minute?
Answers
The Boy: 4.4 x 60 = 264ft per minute. 264 / 3 = 88yrds Per minute
The Fish: 12 x 5280 = 63360ft hr. 5280 / 60 = 1056ft minute 1056 / 3 = 352yrds
352 - 88 = 44 yards quicker then the boy.
44 x 3 = 132 feet quicker then the boy.
21120 yards per hour.
Then you convert 4.4 feet per second into yards per second:
1.47 yards per second.
Then convert 1.47 yards per second into yards per hour:
5292 yards per hour.
Subtract 5292 from 21120:
15828 yards per hour.
Then convert that into minutes:
263.8 yards per minute.
The fish is 263.8 yards per minute faster than the boy.
Marsha has three rugs.The first rug is 2 meters 87 centimeters long.The second rug has a length 98 centimeters less than the first.The third rug is 111 centimeters longer than the second rug.What is the difference in centimeters between the length of the first rug and the third rug?
Answers
Vanessa has scored 45 32 and 37 are three math quizzes she will take one more quiz and she wants a quiz average of at least 40 what is the minimum score Vanessa needs to earn her 4th quiz
Answers
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
John bikes 22km per hour and starts at mile 10. Gwynn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answers
j=10+22t and g=28t.
If x is the distance at which they meet the equations form a system from which t, when they meet, can be calculated: 10+22t=28t, 6t=10, t=5/3=1 hour 40 minutes. And they meet at 28×5/3=10+22×5/3=46.67km.
Answer:
[tex]d=22t+10...(1)[/tex]
[tex]d=28t...(2)[/tex]
Step-by-step explanation:
Let t represent the number of hours and d represent the total distance after t hours.
We have been given that John bikes 22 km per hour and starts at mile 10. This means that slope of line will be 22 and y-intercept will be 10. So total distance covered by John in t hours will be:
[tex]d=22t+10...(1)[/tex]
We are also told that Gwynn bikes 28 km per hour and starts at mile 0. This means that slope of line will be 28 and y-intercept will be 0. So total distance covered by Gwynn in t hours will be:
[tex]d=28t+0[/tex]
[tex]d=28t...(2)[/tex]
Therefore, our required system of linear equations will be:
[tex]d=22t+10...(1)[/tex]
[tex]d=28t...(2)[/tex]
HELP WITH CALCULUS!
Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior. Provide any other details that would enable another student to graph and determine the equation for your function. Do not state your function.
Answers
This function has a vertical asymptote x = 3
This function has a horizontal asymptote y = 0 (degree of numerator < degree of denominator)
It has no x - intercept
Its' y - intercept is at (0, -1/3)
As x →-∞, f(x) →0 and as x →∞, f(x) →0
The function is [tex]f(x)= \frac{x+3}{(x+3)(x-3)} [/tex]
Solve the equation.
If necessary, round to the nearest tenth.
4x^2 =81
A 20.25, -20.25
B 2.25, -2.25
C 4.5 -4.5
D 9, -9
Answers
4x = 9
x = 9/4
B is your answer
hope this helps
you must have a positive and a negative answer*
at least that is what my teacher told me lol
A sprinter can run 319 feet in 11 seconds . Find the sprinters unit rate of feet per second
Answers
319 feet in 11 seconds
To get the unit rate
Divide both sides by 11:
319 / 11 = 11/11
Simplify:
29 per second.
In short, your answer is 29 feet per second.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Need help on 9 and 10
Answers
10.)On the graph your y-intercept would be 2 so that is where you plot your first point. In order to find the slope you need to go up three spaces and one space to the left this is also known as "rise over run". *Remember you always go up spaces for "rise over run" but if the slope is positive then you go to the right and if its negative you go to the left.
I hope this helps love! :)
What is the value of k?
2k+9=7−3k
Answers
To find the value of k in the equation 2k+9=7−3k, we rearrange and simplify to isolate k, resulting in k = -2/5.
To solve for the value of k in the equation 2k+9=7−3k, we must isolate the variable on one side of the equation. Let's start by adding 3k to both sides to get all the k terms on one side:
2k + 3k + 9 = 7 − 3k + 3k
5k + 9 = 7
Next, subtract 9 from both sides to get:
5k = 7 − 9
5k = −2
Now, to find the value of k, divide both sides by 5:
k = −2/5
Therefore, the value of k is −2/5.
There are 56 chickens and rabbits altogether.Each chicken has 2 legs and each rabbit has 4 legs. Total 154 legs
Answers
Twice one number is 15 less than a second number. when 13 is added to the second number,the result is 7 less than 9 times the first number
Answers
for a=3-5c when c=-0.5, what does a equal?
Answers
Plug in -0.5 for c
a = 3 - 5(-0.5)
Multiply -5 with (-0.5)
a = 3 + 2.5
Simplify
a = 5.5
a = 5.5 is your answer
hope this helps
In the formula 'a = 3-5c', 'a' becomes 5.5 when c=-0.5. This is derived by substituting -0.5 as 'c' in the given formula yielding the result of 5.5 after the calculation.
Explanation:The subject of your question is mathematics and it's about finding the value of 'a' in the formula: a = 3-5c when c=-0.5.
To answer your question, we'll substitute the value of 'c' into the formula:a = 3 - 5*(-0.5). When you multiply -5 with -0.5, the answer is 2.5.
Therefore, when you add 3 and 2.5, the answer is 5.5. So, when c = -0.5, the value of 'a' will be 5.5.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ2
At the movie theatre, child admission is $5.40 and adult admission is $9.20 . on thursday, twice as many adult tickets as child tickets were sold, for a total sales of $785.40 . how many child tickets were sold that day
Answers
adult tickets = a
child tickets = c
9.2a + 5.4c = 785.4
a = 2c
Substitute a into the first equation
9.2(2c) + 5.4c = 785.4
Simplify
18.4c + 5.4c = 785.4
Combine like terms by adding
23.8c = 785.4
Divide both sides by 23.8 to isolate the variable c
c = 33
which natural phenomenon is the best example of periodic behavior
Answers
Answer: The answer is the number of hours of daylight each day.
Step-by-step explanation: We are to give the best example of a natural phenomenon of periodic behavior.
A periodic behavior means the behavior which repeats itself in equal intervals of time or periods. Since we are talking about a natural phenomenon, so the rotation of earth around the sun can be an example.
In other words, we can say the number of hours of daylight each day will be the proper example, because the sun gives light for almost same number of hours each day.
Thus, the natural phenomenon is the number of hours of daylight each day.
Find the surface area of a cube with 4.1 in. edges.
Answers
A service station checks Mr. Gittleboro's radiator and finds it contains only 30% antifreeze. If the radiator holds 10 quarts and is full, how much must be drained off and replaced with pure antifreeze in order to bring it up to a required 50% antifreeze?
Answers
Answer:
2.86 quarts ( approx )
Step-by-step explanation:
Given,
The initial quantity of the Mr. Gittleboro's radiator that contains 30% antifreeze = 10 quarts,
Let x quarts of pure antifreeze replaced x quarts of Mr. Gittleboro's radiator to bring it up to a required 50% antifreeze,
So, the quantity of 30% antifreeze radiator after drained off x quarts = (10-x) quarts
Also, the quantity of final antifreeze radiator 50% antifreeze = 10 quarts
Thus, we can write,
30% of (10-x) + 100% of x = 50% of 10
30(10-x) + 100x = 500
300 - 30x + 100x = 500
300 + 70x = 500
70x = 200
x = 2.85714285714 quarts ≈ 2.86 quarts
[tex]\boxed{{\mathbf{2}}{\mathbf{.86 quartz}}}[/tex] of [tex]30\%[/tex] antifreeze replaced by pure antifreeze to maintain [tex]50\%[/tex] antifreeze in the radiator.
Further explanation:
Given:
It is given that radiator contains [tex]30\%[/tex] antifreeze and the radiator holds 10 quartz.
Step by step explanation:
Step 1:
Consider [tex]x[/tex] as the number of quartz of pure antifreeze that is replaced by [tex]x[/tex] number of quartz of Mr. Gittleboro’s radiator to maintain the level of [tex]50\%[/tex] antifreeze in the radiator.
It is given that radiator contains [tex]30\%[/tex] antifreeze and the radiator holds 10 quartz.
The amount of [tex]30\%[/tex] antifreeze radiator after drained off [tex]x{\text{ quartz}}[/tex] is [tex]\left({10-x}\right){\text{quartz}}[/tex] .
The radiator only holds [tex]{\text{10 quartz}}[/tex] .
The amount of final antifreeze radiator [tex]50\%[/tex] antifreeze is [tex]{\text{10 quartz}}[/tex] .
Step 2:
The equation for maintain the level of [tex]50\%[/tex] antifreeze in the radiator by replacing the [tex]x[/tex] number of quartz of [tex]30\%[/tex] antifreeze by pure antifreeze as,
[tex]\begin{aligned}30\%{\text{ of}}\left({10-x}\right)+100\% {\text{ of }}x&=50\% {\text{ of 10}}\\\frac{{30}}{{100}}\times\left({10-x}\right)+\frac{{100}}{{100}}{\text{}}\times{\text{}}x&=\frac{{50{\text{ }}}}{{100}}\times{\text{10}}\\{\text{30}}\left({10-x}\right)+100x&=500\\\end{aligned}[/tex]
Now simplify the further equation using the distributive property.
[tex]\begin{aligned}{\text{30}}\left({10-x}\right)+100x&=500\\300-30x+100x&=500\\300+70x&=500\\70x&=500-300\\\end{aligned}[/tex]
Now simplify the further equation to obtain the value of [tex]x[/tex] .
[tex]\begin{aligned}70x&=500-300\hfill\\70x&=200\hfill\\x&=\frac{{200}}{{70}}\hfill\\x&=2.85714\approx 2.86{\text{ quartz}}\hfill\\\end{aligned}[/tex]
Therefore, [tex]2.86{\text{ quartz}}[/tex] of [tex]30\%[/tex] antifreeze replaced by pure antifreeze to maintain [tex]50\%[/tex] antifreeze in the radiator.
Learn more:
Learn more about what is the cost of full coverage insurance for a female in her 50s as a percentage of the same https://brainly.com/question/11941499 Learn more about effective interest rate https://brainly.com/question/1882107 Learn more about midpoint of the segment https://brainly.com/question/3269852
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Linear equation
Keywords: radiator, amount, replaced, Gittlebro, antifreeze, drained, maintain, quartz, number, linear equation, percentage, fraction, final antifreeze.
If two siblings are boys, what is likelihood that the third sibling will also be a boy
Answers
there are two possibilities
first possibility is boy and the second Is girl.
:)