Determine whether each ordered pair is a solution to the inequality x+y<−1.

Answers

Answer 1

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers
for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Determine Whether Each Ordered Pair Is A Solution To The Inequality X+y&lt;1.

Related Questions

4598÷101=? Has a remainder.

Answers

Answer:

45 remainder 3

Step-by-step explanation:

In the figure, m m O A) Addition
B) Division
C) Subtraction
D) Multiplication

In the figure, mmO A) AdditionB) DivisionC) SubtractionD) Multiplication

Answers

Answer:multiplication

Step-by-step explanation:

At the market, 888 apples cost \$4$4dollar sign, 4.
How much do 999 apples cost?

Answers

if 8 apples cost $ 4, then (4/8) = 1/2 (or 0.50)....so each apple is 0.50 (or 50 cents)

so if u want 9 apples, u will have to pay : 9 * 0.50 = $ 4.50 <=

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?

Answers

Answer:

k-3 ≥8

Step-by-step explanation:

k-3 ≥8

kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.

The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?

Answers

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Which graph shows function f?

Which graph shows function f?

Answers

The graph of f(x) is the second one, so the correct option is B.

Which graph shows function f?

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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What are the measures of two complementary angles if the difference of their measure is 24°

Answers

Answer:

Step-by-step explanation:

Let one angle be x

Another angle will be 24+x

x+24+x=90

2x+24=90

2x=66

x=66/2=33

Now,

x= 33

x+24= 33+24= 57

Determine the value of x. Question 7 options: A) 4.59 B) 4.625 C) 0.22 D) 55.8

Determine the value of x. Question 7 options: A) 4.59 B) 4.625 C) 0.22 D) 55.8

Answers

i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation:

Look at the graph below. Is it a function or not a function? Explain your reasoning.

Answers

i can’t see the graph on my side.

The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?

Answers

Answer:

6570

Step-by-step explanation:

18x365=^

formula for density
formula for density


Answers

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).

Using the same table as before, which was the worst month for the team in terms of results?

Using the same table as before, which was the worst month for the team in terms of results?

Answers

The worst month for the team in terms of results was October, with a total of three losses in five matches.

What is number?

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


The team won only one match and drew one, resulting in a total of five points. This was the lowest points total of any month during the season, a stark contrast to the other months where the team achieved much higher totals. The team's form during October was a far cry from their form during the rest of the season, with only one win in five matches. This poor form contributed to the team's overall lack of success during the season and led to their eventual relegation from the top division.

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What is the complementary angle of CFB

What is the complementary angle of CFB

Answers

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Help me on this please

Help me on this please

Answers

Answer:

uhhhh i dont know

Step-by-step explanation:

-3x^2+33=48x complete the square

Answers

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

Completing the square:

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Can someone reply ASAP pls!!!!

Can someone reply ASAP pls!!!!

Answers

Answer:

the answer is 28

Step-by-step explanation:

the right angle=90

90-62=28

x = 28°

we know this because the box shows that angle ABC is a 90° angle & we know that angle AB is 62°, so that means we have to do 90-62 which is 28. therefore, x = 28°.

Help pre- algebra
:DD

Help pre- algebra:DD

Answers

Answer:

Calzones are $ 8 and an Empanada costs $12

Step-by-step explanation:

2x+3y=52

4x+3y=68

Multiply by -1

-2x-3y=-52

4x+3y=68

combine

2x=16

x=8

plug in 8

4(8)+3y=68

32+3y=68

3y=36

y=12

Step-by-step explanation:

step 1. 2c + 3e = 52, 4c + 3e = 68.

step 2. this is a system of equations. solve the system.

step 3. subtract the 1st equation from the 2nd.

step 4. 2c = 16, therefore c = 8.

step 5. 2(8) + 3e = 52. 3e = 36. e = 12.

step 6. calzones = 8, empanadas = 12.

3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6

(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)

Please provide the work and the answer! :)

Answers

x = 301/56

Algebraic expressions

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P​

Two cylinders, a and b, each started with different amounts of water. The graph shows how the height

Answers

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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There are runners in a race. How many ways can the runners finish​ first, second, and​ third? There are nothing different ways that the runners can finish first through . ​(Type a whole​ number.)

Answers

Answer:

See Explanation Below

Step-by-step explanation:

Your question seem incomplete as the number of runners is omitted; However, I'll give a general guideline you can follow to solve questions like this

Assume that the number of runner is n;

The first position can be occupied by n persons

The second position can be occupied by n - 1 persons

The third position can be occupied by n - 2 persons

\(Number\ of\ ways = n * (n - 1) * (n - 2)\)

Now, let's assume n is 10

\(Number\ of\ ways = 10 * (10 - 1) * (10 - 2)\)

\(Number\ of\ ways = 10 * 9 * 8\)

\(Number\ of\ ways = 720\ ways\)

What if there are 50 runners?

You still apply the same logic and procedure;

This means that n = 50

\(Number\ of\ ways = 50 * (50 - 1) * (50 - 2)\)

\(Number\ of\ ways = 50 * 49 * 48\)

\(Number\ of\ ways = 117600\ ways\)

What if there are just 8 runners?

This means that n = 8

\(Number\ of\ ways = 8 * (8 - 1) * (8 - 2)\)

\(Number\ of\ ways = 8 * 7 * 6\)

\(Number\ of\ ways = 336\ ways\)

So, whatever the number of runner is, just follow the steps I highlighted; you'll get your answer.

Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking for a total of 15 minutes at the same rate, she traveled 10 blocks. Given that Emily walked at the same pace the entire time, how long did it take her to travel 8 blocks?

Answers

Answer:

12 minutes

Step-by-step explanation:

Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking

Answer: 12 Minuets

Step-by-step explanation:

Please see the attached.

Please see the attached.

Answers

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

in a science experiment the intial temperature was 55 degrees faherheit

Answers

Answer:

Answer to your question ; f(t) = 55 = 4t

The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.

Required:
a. What is the standard error of X and the mean from a random sample of 25 fill-ups by one driver?
b. Within what interval would you expect the sample mean to fall, with 98 percent probability?

Answers

Answer:

a) 0.65 mpg

b) Between 24.99 mpg and 28.01 mpg.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation, which is also called standard error, \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\(\mu = 26.50, \sigma = 3.25, n = 25, s = \frac{3.25}{\sqrt{25}} = 0.65\)

a. What is the standard error of X and the mean from a random sample of 25 fill-ups by one driver?

s = 0.65 mpg

b. Within what interval would you expect the sample mean to fall, with 98 percent probability?

From the: 50 - (98/2) = 1st percentile

To the: 50 + (98/2) = 99th percentile

1st percentile:

X when Z has a pvalue of 0.01. So X when Z = -2.327.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(-2.327 = \frac{X - 26.50}{0.65}\)

\(X - 26.50 = -2.327*0.65\)

\(X = 24.99\)

99th percentile:

X when Z has a pvalue of 0.99. So X when Z = 2.327.

\(Z = \frac{X - \mu}{s}\)

\(2.327 = \frac{X - 26.50}{0.65}\)

\(X - 26.50 = 2.327*0.65\)

\(X = 28.01\)

Between 24.99 mpg and 28.01 mpg.

Please solve I do not understand it

Please solve I do not understand it

Answers

The expression \((\frac{1}{4^{-3 } } )^{-2}\) is less than 1.

The sign to change to make the expression greater than 1 is changing the sign of the exponential value which will make the new expression as

\((\frac{1}{4^{-3 } } )^{2}\)

What is expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

In other words, an algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.)

Therefore, let's simplify the expression to know if it's equals to 1, greater than 1 or less than 1.

\((\frac{1}{4^{-3 } } )^{-2}\)

using law of indices,

\((\frac{1}{4^{-3 } } )^{-2}\) = 1 × \((4^{-3} )^{2}\)

4⁻⁶  = 1 / 4⁶ = 1 / 4096

Hence,

1 / 4096 = 0.00024414062

Therefore,  the value is less than 1.

Let's change one sign to make the expression greater than 1.

Therefore, the expression will be \((\frac{1}{4^{-3 } } )^{2}\)

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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?

Answers

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Multiply.
(2x+1)(6x2+8x+9)

Answers

16x^2 +50x+21 is the answer to your question.

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Thirty-one plus three times a number is seventy-six.

Helppp.

Answers

Answer:

15

Step-by-step explanation:

Pretend a is the number.

We have: 31 + 3a = 76

=> 3a = 76 - 31 = 45

=> a = 45/3

=> a = 15

31+3x= 76
-31. -31
3x=45
divide by 3
15x

an=26-6n find the 5th term in the sequence

Answers

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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