Answers
Answer:
[tex]3y-x<6[/tex]
[tex]2x+y\leq2[/tex]
Step-by-step explanation:
Equation of line that passes two points (a,b) and (c,d) :
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Dotted line passes through (0,2) and (-3,1).
Equation of Dotted line :
[tex](y-2)=\dfrac{1-2}{-3-0}(x-0)[/tex]
[tex](y-2)=\dfrac{-1}{-3}x[/tex]
[tex]3(y-2)=x[/tex]
[tex]3y-6=x[/tex]
[tex]3y-x=6[/tex]
Inequality for dotted line (values on line is not included for dotted)
[tex]3y-x<6[/tex] (shaded below )
Solid line passes through (0,2) and (1,0)
[tex](y-2)=\dfrac{0-2}{1-0}(x-0)[/tex]
[tex]y-2=-2x[/tex]
[tex]2x+y=2[/tex]
Inequality for dotted line (values on line is included for solid line)
[tex]2x+y\leq2[/tex] (shaded leftwards )
∴ System of linear inequalities is shown on the graph:
[tex]3y-x<6[/tex]
[tex]2x+y\leq2[/tex]
Related Questions
Solve for a.
6(a+3)=18+6a
no solution
all real numbers
−3
−1
Answers
Answer:
All real solutions is your answer.
Step-by-step explanation:
I took the K12 quiz
find 43 + 28. draw jumps and label number line to show your thinking
Answers
Caroline drove 350 miles to the beach the trip took her 5 1/4 hours what was her average speed in miles per hour?
Answers
So the equation would be 350 = 5.15r (I converted 5 1/4 to a decimal to make it easier.) Now we simply need to solve for the variable r to get the final answer.
Once the equation is solved for r, the final answer is ABOUT 68 mph. So, Caroline drove at an average speed of 68 miles per hour.
Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
t(m)= m 10.5
What is the practical domain of the function?
All integers from 0 to 50, inclusive
All integers from 10 to 50, inclusive
All real numbers
All multiples of 20 between 0 and 1000, Inclusive
Please explain how you got your answer too, thank you!
Answers
Actually, the domain is the possible set of input values of a function that will make the function fit the specific criteria. In this case, the input value is m, where m is the number of miles that is travelled. The criteria is to travel at least 10 miles but not more than 30 miles, therefore the domain should be:
All real numbers from 10 to 30, inclusive
(should be real numbers not integer since any fractional number is included in the domain)
I cannot figure out why the choices are far from the answer.
help pleaseeeeeeeeeee
Answers
Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number. Do you agree with Oman? Justify your reasoning.
Answers
The difference between two numbers is 8. The lesser number is a . Write an expression for the greater number.
Answers
b is the greater number; b>a
So, b=a+8
Final answer:
The expression for the greater number is a + 8, which is found by adding the given difference of 8 to the lesser number a.
Explanation:
The student has given us an equation to work with: The difference between two numbers is 8, and the lesser number is known as a. To find the expression for the greater number, we simply need to add the difference to the lesser number. Therefore, the greater number can be expressed as a + 8.
Let's illustrate this with an example. If the lesser number, a, is 5, then to find the greater number, we add the difference of 8 to 5, giving us 13 as the greater number.
When filing jointly, Melvin and Sylvia have a standard deduction of $11,400, they can claim one exemption for each of them for $3650 each, and they don't have any additional adjustments to income. What is their taxable income?
Answers
To calculate Melvin and Sylvia's taxable income when filing jointly, subtract their standard deduction and exemptions from their adjusted gross income.
Explanation:To calculate Melvin and Sylvia's taxable income when filing jointly, we need to subtract their standard deduction and exemptions from their adjusted gross income.
Given that their standard deduction is $11,400 and they can claim one exemption each valued at $3,650, the calculation is as follows:
Taxable income = Adjusted gross income - (Standard deduction + Exemption)
Let's say their adjusted gross income is $30,000. Plugging in the values, we get:
Taxable income = $30,000 - ($11,400 + $3,650 + $3,650)
Taxable income = $30,000 - $18,700 = $11,300
Therefore, their taxable income is $11,300.
HELP ME ASAP
1. (-4/3)-(-3/2)
2 -3.9-8.9
3 2.9-(-9.4)
Answers
First find whats common which is 6:
-4×2=-8
3×2=6
-3×3=-9
2×3=6
Subtract -9 and -8
But use KCC which makes the equation...
-9+8=-1
-1/6
Here is your second answer:
First use KCC to Chang the equation into...
-3.9
-8.9
Then add:
9+9=18
=-1.28
Here is your third answer:
First change the equation (KCC):
2.9
9.4
9+4=13
3.9=12
=1.23
There are your answers:
I need help with a math problem please show me how to do it step by step here is the problem
40 = -x^2-14x
Answers
Let me help you will quick...
So, we have:
[tex]40=-x^2 -14x [/tex]
Start by subtracting [tex]-x^2 -14x [/tex] from both sides
[tex]40-(-x^2 -14x)=-x^2 -14x-(x^2 -14x) x^2 +14x +40 = 0 [/tex]
Now we need to factorize [tex](x+4)(x+10)=0 Set factors equal to 0 x+4 = 0 or x+10 =0 x = 0 - 4 or x = 0 - 10 x = -4 or x=-10[/tex]
Best of luck with your studies!
Add 13 5/12 +(-4 11/12) . Reduce, if possible
Answers
13 5/12
-4 11/12)
----------------
Since 11/12 is larger than 5/12, we must borrow from 13:
12 + 12/12 + 5/12
-4 -11/12
--------------------------
8 17/12-11/12 = 8 6/12 = 8 1/2 = 8.5 (answers)
Answer:
the answer is 8 1/2 or 8.5 :)
Step-by-step explanation:
Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining of a cup of cashews and of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?
Answers
1052 divided by 52
Write it in the simplest form
Answers
This can be rounded to equal 20.2.
Hope this helps!
For the denominator, recognize that [tex]50\times 2[/tex]
[tex]Multiple = 2 [/tex]
Multiply both the numerator and denominator by the multiple 2
[tex] \dfrac{1052*2}{50*2}[/tex]
[tex] \frac{2104}{100} [/tex]
[tex]= 21.04[/tex]
Find the constant proportionality for y = 2/3x
Answers
The constant proportionality of this equation would be the value that relates the two amounts. In this case, that would be 2/3
What is 35,506 divided by 438
Answers
Hope this helps :)
15 increased by a number x
And
a number x more than −14
And
he difference of 7 and a number x
What are the expressions for all of them and what is the answer with all of the together
Answers
a number x more than −14: x > -14
the difference of 7 and a number x: 7/x
Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back into the same wind. Find the speed of the wind and speed of the plane in still air.
please show me the work
Answers
Let y = the speed of the wind., mph
When flying with a tailwind, the effective speed of the plane is (x + y), therefore
x + y = 376 (1)
When flying back against the wind, the effective speed is (x-y), therefore
x - y = 312 (2)
Add (1) and (2).
2x = 376+312 = 688
x = 344 mph
y = 376 - x = 32
Answer:
Plane: 344 mph
Wind: 32 mph
Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Malik pay back altogether?
A. $520 B. $2,080 C. $8,000 D. $10,080
Answers
Answer: D. $10,080
Step-by-step explanation:
The formula to find the simple interest is given by :-
[tex]S.I.=Prt[/tex], where P is principal amount , r is rate of interest ( in decimal ) and t is time period.
Given : Principal amount = $8,000
The rate of interest = 6.5% = 0.065
Time period= 4 years
Then , the simple interest will be :-
[tex]S.I.=8000\times0.065\times4=2080[/tex]
Hence, the amount which Malik pay back altogether = [tex]P+S.I.=8000+2080=\$10,080[/tex]
−1.26×n=−10.08
n=?
lololololololololololol
Answers
which statement is true by the ASA Postulate
Answers
Answer:
In ΔC BA and Δ DEA
1. ∠B CA = ∠ E DA →→[Given]
2. CB≅DE →→[Given]
3. ∠ABC ≅ ∠A ED →→[Given, each being ,90°]
ΔC BA ≅ Δ DEA →→→→[S AS]
⇒Why not,option 4, because,you have to match each corresponding angle and side of one triangle to each corresponding angle and corresponding side of another triangle.
→→Option C or 3: →→ΔC BA ≅ Δ DEA
BA and EA , are corresponding Smallest sides.
CB and DE, are corresponding Altitudes.
AC and AD,are corresponding Hypotenuses.
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 speed by which the boy swims as fast as the fish will be 528.01 yards per minute.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that a fish swims at a speed of 12 miles per hour and a boy swims at a speed of 4.4 feet per second.
As we know,
1 mile per hour = 29.3333 yards per minute
12 miles per hour = 12 × 29.3333 yards per minute
12 miles per hour = 351.99 yards per minute
1 feet per second = 20 yards per minute
4.4 feet per second = 44 × 20 yards per minute
4.4 feet per second = 880 yards per minute
The difference in their speed is,
= 880 yards per minute - 351.99 yards per minute
= 528.01 yards per minute
Thus, the speed by which the boy swims as fast as the fish will be 528.01 yards per minute.
Learn more about the unit conversion here:
https://brainly.com/question/11543684
#SPJ5
Suppose you randomly select a letter from BURGER AND STARBIRD. Imagine writing these letters on Ping-Pong balls – one letter per ball – then putting them all in a barrel and removing one. What is the probability of pulling out an R? What is the probability of pulling out a B? What is the probability of pulling out a letter that appears in the first half of the alphabet? What is the probability of pulling a vowel?
Answers
There are 17 letters.
Now count each type of letter you are interested in and divide by 17.
a) There are four R's, so the probability of pulling out an R is 4/17.
b) There are two B's, so the probability of pulling out an B is 2/17.
c) Letters A through M appear in the first half of the alphabet.
These letters are from the first half of the alphabet:
BGEADABID
There are 9 of them.
The probability of pulling out a letter that appears in the first half of the alphabet is 9/17.
d) These letters are vowels
UEAAI
There are five vowels.
The probability of pulling out a vowel is 5/17.
Need a math person's help ASAP.
Graph y+6=45(x+3) using the point and slope given in the equation.
Use the line tool and select two points on the line.
Answers
To graph the equation y + 6 = 45(x + 3) using the point and slope given, rearrange the equation in slope-intercept form y = mx + b. Choose two points on the line and plot them on a coordinate plane, then draw a straight line passing through the points.
Explanation:To graph the equation using the point and slope given, we can start by rearranging the equation in slope-intercept form where is the slope and is the y-intercept. So, let's rewrite the equation as The slope is and the y-intercept is
Now, to graph the line, we can choose two points on the line. Let's pick and as our points. Substituting these values into the equation, we get the corresponding y-values as and These two points are and
Finally, we can plot these two points on the coordinate plane and draw a straight line passing through them to represent the graph of the equation
Round each number to the nearest thousand 95,438 + 62,804
Answers
95,438 to the nearest thousand is : 95,000.
62,804 to the nearest thousand is : 63,000.
Use properties of addition and subtraction to evaluate the expression. −38−11−22
Answers
-(38-11-22) = -(38 +11 + 22)
-(38 + 11 + 22) = -(71)
The answer is -71
Evaluate: sqrt 1.69
A 1.3
B no real number root
C 2.86
D 0.85
thanks help would be very well apreciated :)
Answers
169=13²
1.69=169/100=13²/10²
√1.69
√13²/10²
13/10
1.3
answer is A
Square root helps to find the factor of a number which when multiplied by itself gives us the number. The value of √1.69 is √1.3.
What is square root?Square root can be defined as the process of finding a number which is a factor of a number when multiplied by itself to get a number.
In order to evaluate the value of √1.69, we will convert decimal value 1.69 into a fraction, therefore, the fraction can be written as,
[tex]1.69 = \dfrac{169}{100}[/tex]
Now, using this equivalent value of 1.69, the evaluation can be written as,
[tex]\sqrt{1.69}\\\\= \sqrt{\dfrac{169}{100}}[/tex]
Further, using the exponential property the value can be written as,
[tex]= \sqrt{\dfrac{169}{100}}\\\\\\={\dfrac{\sqrt{169}}{\sqrt{100}}}\\\\\\=\dfrac{13}{10}\\\\=1.3[/tex]
Hence, the value of √1.69 is √1.3.
Learn more about Square root:
https://brainly.com/question/1527773
math question down below
Answers
1.53 ÷ 0.17 = 9
-1.53 ÷ 0.17 = -9
Your answer would be -9.
I hope this helps!
Hope this helps! ☺♥
Suppose that
15
inches of wire costs
75
cents.
At the same rate, how much (in cents) will
11
inches of wire cost?
Answers
for 11 inches......0.05 * 11 = $ 0.55 <===
record the product 23x79
Answers
1,817
what is 9.125 E10 in standard form
Answers
I can do this in my head by thinking like this: There are three numbers after the decimal, so I only need to add 7 zeros.
Then I would right it out like this: 9125
then add 7 zeros: 91250000000
.....................................1234567
Hope this helps, and May the Force Be With You!
-Jabba
Final answer:
The number 9.125 x 10¹⁰ in standard form is 91,250,000,000.
Explanation:
The number 9.125 x 10¹⁰ in standard form is written as 91,250,000,000.
The documentation "E10" addresses increasing the number by 10 raised to the force of 10. For this situation, "E10" signifies we really want to increase 9.125 by 10¹⁰.
To work out this, we move the decimal guide 10 spots toward the right, bringing about an extremely huge number:
9.125 E10 = 9,125,000,000
In this way, 9.125 E10 in standard structure is 9,125,000,000.