The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)
Determining the solutions of a linear inequality from a graphFrom the question, we are to determine all of the solutions for the linear inequality whose graph is given
To do this, we will find the points that fall in the solution region (shaded portion of the graph)
A. (-4, 0)The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
B. (-1, 4)The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.
C. (0, 0)The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
D. (4, -1)The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.
E. (-2, 0)The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
F. (0, -2)The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.
Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).
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Find the equation of the line
Answer:
[tex]y= \frac 12 x -3\\y=0.5x -3[/tex]
Depending if you can imput fractions, or decimal numbers.
Step-by-step explanation:
The slope can easily calculated as [tex]m=\frac{\Delta y}{\Delta x} = \frac {0-(-3)}{6-0} = \frac 36 = \frac12[/tex]
The y intercept can be easily read from the graph as and is -3
Simplify: 2cd3(c − d + 5)
Responses
A 2cd3 − 2c2d4 + 10c2d32 cd 3 − 2 c 2 d 4 + 10 c 2 d 3
B 2c2d3 − 2cd4 + 10cd32 c 2 d 3 − 2 cd 4 + 10 cd 3
C 2cd3 − 2cd3 + 10cd32 cd 3 − 2 cd 3 + 10 cd 3
D 2c2d3 − 2c2d4 + 10cd2
Simplification of the given expression 2cd³ (c - d +5) is given by
2c²d³ − 2cd⁴ + 10cd³.
As given in the question,
Given expression is equal to :
2cd³ (c - d +5)
Law of exponents for multiplication is given by:
mᵃ × mᵇ =mᵃ⁺ᵇ
Simplification of the given expression by open the parenthesis we have,
= 2cd³ × c - 2cd³ × d + 2cd³ × 5
Apply law of exponents for multiplication we get,
= 2c¹⁺¹d³ -2cd³⁺¹ + (2×5)cd³
= 2c²d³ -2cd⁴ + 10cd³
Therefore, simplification of the given expression 2cd³ (c - d +5) is given by 2c²d³ − 2cd⁴ + 10cd³.
The complete question is:
Simplify : 2cd³ (c - d +5)
a. 2cd³− 2c²d⁴ + 10c²d³
b. 2c²d³ − 2cd⁴ + 10cd³
c. 2cd³ − 2cd³ + 10cd³
d. 2c²d³− 2c²d⁴ + 10cd²
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In Alex's drawer she has 10 pairs of socks, 8 of which are white, and 9 tee shirts, 2 of which are white.
The probability of choosing a white pair of socks is
The probability of choosing a white tee shirt is
The probability of both being white is
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total socks= 10
White socks= 8
Total T- shirts= 9
White T- shirts = 2
Now, The probability of choosing a white pair of socks is
= 8/10
= 4/5
and, The probability of choosing a white tee shirt is
= 2/9
and, The probability of both being white is
= 4/5 x 2/9
= 8/45
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The operation * is defined as a*b=a+b-2ab
Evaluate 2* (3*5)
(2*3)*5
The value of 2*(3*5) = 68.
The value of (2*3)*5 = 68.
What is multiplication?
A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.
Given: The operation * is defined as,
a*b = a + b - 2ab
We have to find the value of 2*(3*5) and (2*3)*5
First to find the value of 2*(3*5).
2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.
Now to find the value of (2*3)*5.
(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.
Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.
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solve ABC given BC= 61cm, AB=57cm and B= 190 degree.
Answer:
Your question is missing some parts
and the degree seems off is it 90⁰
Need help with This also
Answer:
Step-by-step explanation:
8.5 inches divided by 2 = 4.25 inches which is the base of the triangle with a height of 5.8 inches. Area of that triangle is 1/2 x base x height = 1/2 x 4.25 inches x 5.8 inches = 12.325 inches squared. Two of the triangles make 1 full isoceles triangle= 2 x 12.325 inches squared = 24.65 inces squared. But there are 5 isoceles triangles in a pentagon, so 5 times 24.65 inches squared = 123.25 inches squared.
what kind of transformation converts the graph of f(x)= -10(x-2)^2 into the graph of g(x)= -2(x-2)^2
The transformation that converts f(x) to g(x), f(x) is contraction by 5 units
What are transformations?Transformations are mathematical operations which change the shape and orientation of an object or function.
The types of transformations include
Dilation, Reflection, translationcontraction and rotationHow to find what kind of transformation converts f(x) to g(x)?Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².
We see that f(x) = -10(x - 2)²
= 5 × -2(x - 2)²
= 5g(x)
Since f(x) = 5g(x)
⇒g(x) = f(x)/5
So, we converts f(x) to g(x), f(x) is contraction by 5 units
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589 in base five is
589 in base five is [tex]4324_{5}[/tex].
Given number:
589
converting to [tex]589_{5}[/tex].
⇒ 5|589
⇒ 5|117|4
⇒ 5|23|2
⇒ 5|4|3
⇒ 5|4|4
Now we write the last digit from last number to first that is,
= [tex]4324_{5}[/tex].
Hence 589 in base five is [tex]4324_{5}[/tex].
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WILL GIVE BRAINLIEST !!
What does the slope of a position vs. time graph tell you? What does the slope of a velocity vs. time graph tell you?
Answer:
a) velocity
b) displacement
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 5 th term is 0; 45 th term is -120
The first term of the sequence is 12 and the common difference is -3.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Given that a formula for the nth term. 5th term is 0; 45th term is -120. The common difference is calculated as,
a₁ + d(5-1) = 0
a₁ + d(45 - 1) = -120
Solve the above equation,
a₁ + 4d = 0
-a₁ - 44d= +120
___________
-40d = 120
d = -3
The value of the first term is,
a₁ + 4d = 0
a₁ + 4 x -3 = 0
a₁ = 12
Therefore, the first term of the sequence is 12 and the common difference is -3.
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Find the value of .x.
(5r-24)
(8x + 9)-
Answer:
x = 15
Step-by-step explanation:
since the sides are bisected, the inner line is parallel to the largest side.
8x+9 + 5x-24 = 180
2x-2y =-7 use elimination
Using elimination method in the equation 2x+y=7 and 2x*3y=3, x is 3 and y is 1.
Two equations are given solving it by using rule of elimination,
2x+y=7....(1) and 2x*3y=3. (2)
Multiply equation (1) by three to get 6x+3y=21. (3)
Add equations (2) and (3) together to get
8x=24
x=24/8
x= 3
Replace this number in equation (1):
2(3)+y=7
6+y=7
y=7-6
y= 1
Consequently, the answer is x=3,y=1.
To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
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The sum of m and ten multiplied by 4
Answer:
4(m+10)
Step-by-step explanation:
sum is adding
Hopes this helps please mark brainliest
The average weight of a population of manatees is unknown. A random sample of manatees selected from the population yields a sample mean of x¯=880.3 pounds. Assume the sampling distribution of the mean has a standard deviation of σx¯=10.4 pounds. Use the Empirical Rule to construct a 68% confidence interval for the true population mean weight.
The confidence interval that we have for the population mean is given as [869.9 , 890.7]
How to solve for the confidence intervalThe confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.
We have the following data that we have to solve this problem with
The mean = x¯=880.3 pounds
The standard deviation = 10.4 pounds.
The confidence interval = 68%
To get the confidence interval for the true mean of the population weight we would have
mean ± standard deviation
880.3 ± 10.4
The interval would be written out as
880.3 - 10.4 and 880.3 + 10.4
the confidence interval =
[869.9 , 890.7]
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Jaden has a part-time job working for a landscaping company. He earns $25 for each lawn-mowing job, l, and $20 for each pulling-weeds job, w. This can be modeled by 25l+20w. Evaluate for l=4 and w=6 to find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs. Please helpppp
Answer:
220.
Step-by-step explanation:
If you plug in 4 for L and 6 for W, you are left with 25(4) + 20(6), which is equivalent to 100+120 = $220
Answer:
220
Step-by-step explanation:
Tiffany borrows $8,000 to pay for college. The loan has a 7% interest rate that compounds monthly. She plans to pay off the loan in 15 years. How much will she pay in total?
Tiffany needs to pay $8,084.44 in total.
what is Compound Interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
Given:
P= 8000
R= 7%= 0.07
Time= 8 years.
Now, Amount = P[tex](1 + r/n)^{nt[/tex]
Amount = 8000 [tex](1 + 0.07/15)^{12 . 15[/tex]
Amount = 8000 x (1 + 5.8333333333333E-5)
amount = $8,084.44
Hence, Tiffany needs to pay $8,084.44 in total
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Write the expression as a power and evaluate it.
8•2^7
Answer:
1024
Step-by-step explanation:
8 times 2 to the 7th power
2 by the 7th power 128 times 8 1024
Which triangle congruence postulate would be used to prove the following triangles congruent?
1. AAS
2. SSS
3. SAS
4. HL
Choose from the drop-down menus to match the trigonometric expression with its value
The values that match the various trigonometric identity are;
1) sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀ = 1
2) cos 13 cos 47 + sin 13 sin 47 = 0.5
3) sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π = 0
How to solve Trigonometric Identities?Trigonometric identities are defined as the equations that involves the trigonometric functions that are true for every value of the variables involved.
1) We know that the trigonometric identity sin(A + B) is expressed as;
sin(A + B) = sinAcosB + cosAsinB
We are given;
sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀
Applying the trigonometric identity above, gives us;
sin(²/₅π + π/₁₀)
= sin(5π/10)
= sin(π/2)
= 1
2) We know that the trigonometric identity sin(A + B) is expressed as;
cos(A + B) = cosAcosB − sinAsinB.
We are given;
cos 13 cos 47 + sin 13 sin 47
Applying the trigonometric identity above, gives us;
cos(13 + 47)
= cos 60
= 0.5
3) We know that the trigonometric identity sin(A + B) is expressed as;
sin(A + B) = sinAcosB + cosAsinB
We are given;
sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π
Applying the trigonometric identity above, gives us;
sin(²/₅π + ⁸/₅π)
= sin(¹⁰/₅π)
= sin(2π)
= 0
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There are 8 kites in the sky, and 5 of those kites are striped. What fraction of
the kites are striped?
A. 6/8
B.5/8
C.5/13
D.4/8
solve the system of equations by the addition method
x-y= -2
x+y=4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is }. (Type an ordered pair.)
B. There are infinitely many solutions. The solution set is {(x,y)}.
(Type an equation.)
C. There is no solution. The solution set is Ø.
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
You want to solve the system of equations x-y= -2; x+y=4 by the addition method.
Addition methodThe addition method seeks to eliminate one of the variables by adding the equations with appropriate multipliers so that one of the coefficients becomes zero.
Here, we observe that the coefficient of y in one equation is the opposite of that in the other equation. This means adding the two equations will cancel the y-terms:
(x -y) +(x +y) = (-2) +(4)
2x = 2 . . . . . . . . . . . . . . . . simplify; y-term is eliminated
x = 1 . . . . . . divide by 2
1 +y = 4 . . . . . . . substitute for x in the second equation
y = 3 . . . . . . . . . subtract 1
The solution is (x, y) = (1, 3).
1. How many games did each team play? The men played
2. Kira has three dogs, Luna, Cooper, and Daisy.
Cooper weighs 25 pounds less than Daisy. Luna
weighs 20 pounds less than three times Cooper.
If their combined weight is 175 pounds, how
much does Luna weigh?
A. 59 pounds
B. 74 pounds
C. 78 pounds
D. 82 pounds
The weight of Luna is 82 pounds , the correct option is (d) .
In the question ,
it is given that
Kira has three dogs Luna , Cooper and Daisy .
let the weight of cooper be c .
given Cooper weighs 25 pounds less than Daisy
which is c = daisy - 25
So , daisy = c + 25
and Luna weighs 20 pounds less than three times Cooper ,
which is Luna = 3c - 20
Given the combined weight is = 175 pounds
Cooper + Daisy + Luna = 175
c + c + 25 + 3c - 20 = 175
5c + 5 = 175
5c = 175 - 5
5c = 170
c = 170/5
c = 34
So, Luna = 3c - 20 = 102 - 20 = 82 pounds .
Therefore , The weight of Luna is 82 pounds .
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Can someone help me out with this math problem and weather it converges or diverges?
The given infinite series is divergent.
Given,
[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\frac{3n^2+n+1}{2n^2-1}}[/tex]
it is in the form,
[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\ a_n[/tex]
If the series is convergent then it satisfies,
i)[tex]b_{n+1}\ \leq\ b_n\ for\ all\ n[/tex]
ii)[tex]\lim_{n \to \infty} a_n =0[/tex]
if any of the above condition dissatisfies then the series is divergent
First check the 2nd condition,
[tex]\lim_{n \to \infty}\frac{3n^2+n+1}{2n^2-1}}\\\\= \lim_{n \to \infty}\frac{n^2(3+\frac{1}{n}+\frac{1}{n^2})}{n^2(2-\frac{1}{n^2})}}\\\\=\frac{3+0+0}{2-0}\\\\=\frac{3}{2}[/tex]
Here, [tex]\lim_{n \to \infty} a_n \neq 0[/tex]
Thus, the given series is divergent.
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A math class has a total of 33 students. The number of males is 15 more than the number of females. How many males and how many females are in the class?
if the selling price for a shirt is $39.98 and the tax rate is 4.5% what is the sales tax
Answer:
8.25 % I got this answer right.
Is this how I do a sign analysis table? I’m not sure if I should include the x^2…
Answer:
I believe there is supposed to be something in the the corner box (Top left).
Step-by-step explanation:
During December, Far Eas Services makes a credit sale of $2,800 (before sales taxes). The state sales tax rate is 6% and the local sales tax rate is 2.5%.
Record sales and sales tax payable.
The credit sale after state and local tax payable is 2562$.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The credit sale before sales taxes = 2800$,
The rate of state sale tax = 6%,
And rate of local sale tax = 2.5%
The sale after state tax = 2800-2800×6/100=2800-168=2632,
The sale after local tax=2800-2800×2.5/100=2800-70=2730
The credit sale after state and local tax= 2800-168-70=2562.
The required credit sale =2562$.
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(10-x)+(12-x)
how do you do this i can't do this at all.
Answer:
[tex]\sf -2x+22[/tex]Step-by-step explanation:
[tex]\sf (10-x)+(12-x)[/tex]
Simplify:-
[tex]\sf 10-x+12-x[/tex]
Combine like terms:-
[tex]\sf -x-x+10+12[/tex]
[tex]\sf (-x-x)=\bf -2x[/tex]
[tex]\sf (10+12)=\bf 22[/tex]
[tex]\sf -2x+22[/tex]
__________________Hope this helps!
Have a great day!
In the middle of a park, there is a fenced off area in the shape of a square with an area of 225 yards. What is the side length of the square? What is the perimeter of the fenced off area?
what is a peremiter
Perimeter meaning: the continuous line forming the boundary of a closed geometric figure.
side length: 15
perimeter: 368