Select all the values that belong to the solution set of 9 ≤ 6 - y.
0
3
-3
-1
-6
6
-4
The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\)[/tex]
To solve the inequality[tex]\(9 \leq 6 - y\)[/tex], we need to isolate the variable \(y\). Let's do this step by step:
1. Subtract 6 from both sides of the inequality:
[tex]\[9 - 6 \leq 6 - 6 - y\][/tex]
[tex]\[3 \leq -y\][/tex]
2. To isolate [tex]\(y\)[/tex], multiply both sides by -1. Remember, when you multiply or divide by a negative number, the direction of the inequality sign reverses:
[tex]\[-1 \cdot 3 \geq -1 \cdot (-y)\][/tex]
[tex]\[-3 \geq y\][/tex]
Now, we have [tex]\(y \leq -3\).[/tex]This inequality states that any value of [tex]\(y\) t[/tex]hat is less than or equal to -3 is a solution.
Let's check each given value to see if it satisfies the inequality:
[tex]- \(0 \): \(0 \nleq -3\) (False)[/tex]
[tex]- \(3 \): \(3 \nleq -3\) (False)[/tex]
[tex]- \(-3\): \(-3 \leq -3\) (True)[/tex]
[tex]- \(-1\): \(-1 \nleq -3\) (False)[/tex]
[tex]- \(-6\): \(-6 \leq -3\) (True)[/tex]
[tex]- \(6\): \(6 \nleq -3\) (False)[/tex]
[tex]- \(-4\): \(-4 \leq -3\) (True)[/tex]
The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
In conclusion, the solution set of the inequality [tex]\(9 \leq 6 - y\) is \(y \leq -3\),[/tex] and the values from the given options that belong to this solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
Completed question:
Select all the values that belong to the solution set of 9 ≤ 6 - y.
0,3,-3,-1,-6,6,-4.
Can you help with all of them please
Question:
Find equivalent expressions for the given expressions.
A. 5/6(x - 6) + 1/6(3 - x)
B. (y + 7)4 + 8 - 5y
SHOW WORK 50pts
Answer:
2 x /3 − 9/ 2
− y + 36
Which statement shows a basic difference between a democracy and an autocracy
Answer:
It's B.
Step-by-step explanation:
Does 17/20 repeat or terminate
BEST ANSWER GETS BRAINLIEST A bird park has black and white birds in the ratio of 8 to 2 as shown below: 8 blackbirds and 2 white birds are shown Which is another ratio that can describe the black to white birds?
which pair of angles are corresponding angles
The pair of corresponding angles in the given figure are ∠ 3 and ∠ 7
What is corresponding angles?Any pair of angles, each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Given that, a figure,
Here, ∠ 3 and ∠ 7 are the angles that are formed when two lines are intersected by the transversal.
Hence, ∠ 3 and ∠ 7 are making corresponding angles,
Hence, The pair of corresponding angles in the given figure are ∠ 3 and ∠ 7
For more references on corresponding angles, click;
https://brainly.com/question/1597341
#SPJ2
as numbers get larger the digits are grouped into sets of three separated by commas which of the following statements is correct
while explain sealife a biologist went underwater on a land recorded the desk above and below sea level where he found different creatures. A) List these creatures in order from deepest to highest. B) Write a comparison statement for the depth of the hermit crab and the redfish. Hermit Crab (2ft), Clam (0ft), Snapper (-10ft), Redfish (-3ft). Can anyone help me please. Does anyone know how to answer this question.
A. If we are to consider that the positive (+) value is for the above the sea level and negative (-) is for below the sea level the arrangement from deepest to highest of the given is:
(a) Snapper (-10 ft) ; (b) Redfish (-3ft) ; (c) Clam (0 ft) ; (d) Hermit Crab (2 ft)
B. The comparison of the depth of hermit crab and redfish,
D = hermit crab – redfish = 2 – (-3) = 5 ft
The difference in the depths is equal to 5 ft.
Answer:
the order would be 1)snapper 2)red fish 3) clam 4) hermit and the difference is 5
Step-by-step explanation:
Write about a real-world situation that can be solved using a two-step equation. Then write the equation and solve the problem.
A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation: 3 * 5 - 10 = x. Solving the equation, we get x = 15.
Explanation:A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation:
Step 1: Write the equation. Let x be the total cost.
Step 2: Solve the equation. The cost of the items is $5 per item, so the first step is to multiply 3 (number of items) by 5 (cost per item). Then subtract the $10 coupon from the total cost. The equation becomes 3 * 5 - 10 = x. Solving the equation, we get x = 5. Therefore, the total cost of the shopping trip is $15.
Learn more about Solving real-world problems using two-step equations here:https://brainly.com/question/920227
#SPJ2
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer: The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation [tex]V(t)=5000+1250t[/tex] and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
[tex]V(t)=5000+1250t[/tex]
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
[tex]20,000=5000+1250t[/tex]
[tex]15000=1250t[/tex]
[tex]12=t[/tex]
The maximum value of t is 12, since the time is always positive, therefore we can say that,
[tex]0\leq t\leq 12[/tex]
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
The plot of the graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full is shown below.
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation [tex]V(t)=5000+1250x[/tex] and its graph is given below.
According to the question, [tex]\rm Volume=20,000\; gallons[/tex]
Let the time be defined by [tex]x[/tex].
So, volume of water is defined as,
[tex]V(t)=5000+1250x[/tex]
[tex]20000=5000+1250x[/tex]
[tex]x=12[/tex]
So, the range is
[tex]0\leq t \leq 12[/tex]
The graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial points is [tex](0,5000)[/tex] and the other point is [tex](12,20000)[/tex]
Learn more about Volume here:
https://brainly.com/question/13338592?referrer=searchResults
What is the unit rate 2y=9x
What is 47.4 rounded to the nearest tenth place
Kala found an icicle 26 inches long. How long is it in feet?
Answer:
It is 2.1 feet in length.
Step-by-step explanation:
You have to divide 26 by 12 since 12 inches are in 1 foot.
Kala's 26-inch long icicle is approximately 2.17 feet when converted from inches to feet using the conversion factor of 1-foot equals 12 inches.
Converting Inches to Feet
Kala found an icicle that is 26 inches long. To convert inches to feet, we need to know that 1 foot is equal to 12 inches. Therefore, we will divide the total length in inches by 12 to find the length in feet.
Start with the total length in inches: 26 inchesUse the conversion factor: 1 foot = 12 inchesDivide the length in inches by 12: 26 ÷ 12 = 2.17So, the icicle is approximately 2.17 feet long.
9u2v and which term are like terms? A.6u2, B.9uv2, C.15u2v, D.13u2v2
Answer:
C 15u^2 v
Step-by-step explanation:
how do you find the domain and range of a continuous graph.
What’s 0.0025 cm written in scientific notation
0.0025 cm in scientific notation is 2.5 x 10⁻³cm.
It represents the number 2.5 multiplied by 10 raised to the power of -3, indicating the decimal point moved 3 places to the left, making the number smaller.
To write 0.0025 cm in scientific notation,
we need to express it in the form of a number between 1 and 10, multiplied by a power of 10.
The given number is 0.0025 cm.
To convert it to scientific notation,
we can move the decimal point to the right until it becomes a number between 1 and 10.
The number of places we move the decimal point gives us the power of 10.
Therefore, 0.0025 cm can be written in scientific notation as 2.5 x 10⁻³ cm.
learn more about scientific notation here
brainly.com/question/19625319
#SPJ6
Bob can row 14 mph in still water. The total time to travel downstream and return upstream to the starting point is 2.8 hours. If the total distance downstream and back is 36 miles, determine the speed of the river (current speed).
We have that for the Question ,it can be said that The speed pf the river is
3mph
From the question we are told
Bob can row 14 mph in still water. The total time to travel downstream and return upstream to the starting point is 2.8 hours. If the total distance downstream and back is 36 miles, determine the speed of the river (current speed).
Generally the equation for the time is mathematically given as
[tex]t=\frac{d}{v}\\\\Therefore\\\\3=\frac{12}{9+x}+\frac{12}{9+x}[/tex]
[tex]1/4=\frac{12}{9^2=x^2}\\\\x^2=81-71\\\\\x=\pm 3\\\\x=3[/tex]
Therefore
The speed pf the river is 3mph
For more information on this visit
https://brainly.com/question/19007362?referrer=searchResults
Mudrik installed a device on his car that guaranteed to increase his gas mileage by 10%. The gas mileage increased by 3 miles per gallon after installing the device. How many miles per gallon did he get before the device was installed?
For what value of x will 9, 16 and x have the same mean (average) as that of 26 and 12?
The value of x that will make the mean of 9, 16 and x to have the same mean as the mean of 26 and 12 is 32.
Mean is also known as the average of a set of numbers. It is the sum of a set of numbers divided by the total numbers.
Mean = sum of numbers / total numbers
Mean of 26 and 12
(26 + 12) / 2
= 38 / 2 = 19
Mean of 9, 16 and x must equal 19. This can be represented with this equation:
(9 + 16 + x) / 3 = 19
In order to determine the value of x, multiply both sides of the equation by 3
(9 + 16 + x) = 19 x 3
(9 + 16 + x) = 57
Combine similar terms
x = 57 - 9 - 16
x = 32
A similar question was answered here: https://brainly.com/question/21154553?referrer=searchResults
A particular computer takes 15 min to download a 45 min TV show. How long will it take the computer to download a 2 hour movie
Final answer:
The computer takes 15 minutes to download a 45-minute TV show, indicating a download speed of 3 minutes of video per 1 minute of download time. Applying this speed to a 2-hour (120 minutes) movie results in a download time of 40 minutes.
Explanation:
A particular computer takes 15 min to download a 45 min TV show. To find out how long it will take the computer to download a 2-hour movie, we need to establish the download speed based on the given information and apply it to the new download task.
The computer downloads a 45 min TV show in 15 min. This gives us a download ratio or speed of 3 minutes of video per 1 minute of download time (45:15 or, simplified, 3:1).
Since a 2-hour movie is 120 minutes, using the same download speed, we calculate the download time by dividing the movie's length by the speed ratio: 120 minutes / 3 = 40 minutes.
Therefore, it will take the computer 40 minutes to download a 2-hour movie.
MATH QUESTION DOWN BELOW
Say that Australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. How much tax revenue would Australia generate each year by instituting a 31.4% income tax?
Australia generates $96054697991 each year by instituting a
31.4% income tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The tax percentage is 31.4%.
Therefore, The amount generated for one person is,
= (31.4/100)×26450.
= $8305.3.
Therefore, The amount of tax generated for the working population is,
= $(8305.3×11565470).
= $96,054,697,991.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ6
Identify the initial amount a
and the rate of growth r
(as a percent) of the exponential function y=10(1+0.4)t
. Evaluate the function when t=5
. Round your answer to the nearest tenth.
In the equation y=10(1+0.4)t, the initial amount a is 10 and the rate of growth r is 40%. Evaluating this exponential function when t=5 gives us a value of 56.2.
Explanation:In the exponential function y=10(1+0.4)t, the initial amount a is indicated by the coefficient of the function, which in this case is 10. The rate of growth r can be determined from the value added inside the parentheses, given as 0.4, which when converted to percent is 40%. Now, to evaluate the function when t=5, you substitute 5 for t in the equation y=10(1+0.4)*5.
Solving this: y=10*(1+0.4)5 = 10*(1.4)^5 = 56.2 (rounded to the nearest tenth).
Learn more about Exponential Function here:https://brainly.com/question/28596571
#SPJ12
Mr.Neal purchased apple cider for himself and three friends. He spent a total of $7. How much was each glass of cider?
Solve using the Quadratic Formula.
x2 + 3x - 5 = 0
A) x =
3 ±
29
2
B) x =
3 ±
14
2
C) x =
3 ±
29
3
D) x = -
3 ±
29
2
1)The Great Pyramid is an example of a ____ _____ .
2)A tent is an example of a _____ _____ .
Answer:
1) Square Pyramid
2) Triangle Pyramid
Step-by-step explanation:
A square pyramid is a pyramid with a square base. It is a pentahedron.
A triangular pyramid is a pyramid having a triangular base. The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.
Thank you.
Answer:
A tent is an example of a Triangular Prism
The Great Pyramid is an example of a Square Pyramid
A 1-liter bottle of orange juice used to cost $2.85 at a food market. Its price has increased; the new price is 110 percent of the original price. What is the new price of the juice? Round your answer to the nearest cent.
$2.95
$2.99
$3.09
$3.14
Answer:
the answer is d
Step-by-step explanation:
What is 7/8 divided by 3/4
Which of the following has the lowest unit price?
20lb for $16.20
26lb for $23.40
24lb for $18.72
22lb for $18.70
Answer:
24lb for $18.72