Which ordered pairs are solutions to the inequality 2x+3y≥−1?
Final answer:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.
Explanation:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.
Let's solve the inequality for y:
2x + 3y ≥ -1
3y ≥ -1 - 2x
3y ≥ -2x - 1
y ≥ (-2/3)x - 1/3
Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:
Let's choose x = 0:
y ≥ (-2/3)(0) - 1/3
y ≥ 0 - 1/3
y ≥ -1/3
So one ordered pair that is a solution is (0, -1/3).
Let's choose x = 3:
y ≥ (-2/3)(3) - 1/3
y ≥ -2 - 1/3
y ≥ -7/3
So another ordered pair that is a solution is (3, -7/3).
Domain -1,4,5,3,-5 Range n,w,y,n,w is this a function
0.135 written as a fraction is _____.
The decimal 0.135 can be written as 27/200 in fractions.
What is a Fraction?A fraction is a number that can be expressed as p/q, where q is not equal to zero.
It is defined as part of the whole.
0.135 is a decimal and to convert into a fraction it has to be written as
=135/1000
On simplifying the fraction
=27/200
Therefore, the decimal 0.135 can be written as 27/200 in fractions.
To know more about Fraction
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Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.
x−24/x<10,
The solution for the set would be: x is (0,12).
What is the solution?
To arrive at the solution, we would first move the constant term to the right side as follows;
x - 24/x < 10
x < 10 + 24/x
We then multiply both sides by x to eliminate the fraction:
x² < 10x + 24
Collect all terms to one side;
x² - 10x - 24 < 0
Factorize
(x - 12)(x + 2) < 0
So, x - 12 is positive when x > 12 and negative when x < 12.
x + 2 is positive for all values of x > 0.
please help me on this question
and explain.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
PLEASE HELP ME ON THIS
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This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
Answer: C) 45
Hope Thsi Helps ^_^
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Enter your answer in the box.
The length of the hypotenuse is 10cm
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need.
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]
Hence the length of the hypotenuse is 10cm
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The areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,
Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx
Answer:
A.) cscxcos2x-secxsin2x
Step-by-step explanation:
I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.
Final answer:
To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.
Explanation:
The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.
We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).
The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.
Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.
Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.
Does her conclusion use inductive, or deductive reasoning?
Answer:
inductive reasoning
In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.
Therefore, the type of reasoning used is inductive reasoning.
Personal Finance is a dead group.
How does the availability of credit in a community affect the housing market there?
The availability of credit has no affect on the housing market.
The less credit available, the higher the cost of housing.
The availability of credit determines whether or not people put their homes up for sale.
The more credit available, the higher the cost of housing.,
In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?
I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!
prove this trigonometric equation;
- tan^2x + sec^2x = 1,
Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,
The area of a rectangle is 54 m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.
A simple question I can't answer thnks yall
What is the quotient of 78.3 ÷ 3.48?
Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11
whats the answer to 8n−15=41
Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division
Final answer:
Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.
Explanation:
The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.
The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.
which value is a solution of the equation 2-8x=-6 ? ( 1point )
A. 1
B. 1/2
c. -1
d. 8,
At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.
In the second week, he spent $2 more in total for the 5 lunches than the first week.
What is the increase in the mean for the second week compared to the first?
Round the answer to the nearest penny.
Enter your answer in the box.
$
The increase in the mean for the second week compared to the first with the given parameters is; $0.40
Let us first find the mean of the lunch costs for the first week;
Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572
We are told that he spends a total of $2 more on lunch in the second week.
Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.
Mean of second week = 49.86/5 = $9.972
The increase in the mean for the second week compared to the first is;
9.972 - 9.572 = $0.40
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my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v
Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36
Answer C
to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n
where x is each term given in data set
n is number of terms = 7
mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114
now find (∑|x-mean|) = 138
MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20
40 POINTS! + BRAINLIEST
What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?
Make sure to show all calculations.
Answer:
6.5
Step-by-step explanation:
1. calculate using the equation
How many triangles exist with the given angle measures? 32°, 51°, 97°
The correct answer is 1.
To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.
Given angles: 32°, 51°, 97°
we can represent the calculation as follows:
[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]
Since the sum of the three given angles is equal to 180°, these angles can form a triangle.
To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:
[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]
Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.
ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?
2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?
Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.
What is sampling error?The amount of inaccuracy in the estimating value appears due to the smaller sample size.
The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
We know that the formula of the sampling error
[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.
More about the sampling error link is given below.
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What is the least common Multiple of 9 and 10? Use prime factorization to solve.