The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.
A) (2, 0)
Plugging in the values of x=2 and y=0 into the inequalities, we get:
2+0 ≥ 2 which is true, and
4(2)+0 ≥ -1 which is true.
Therefore, point A (2, 0) is in the solution set of the given system of inequalities.
B) (0, 2)
Plugging in the values of x=0 and y=2 into the inequalities, we get:
0+2 ≥ 2 which is true, and
4(0)+2 ≥ -1 which is true.
Therefore, point B (0, 2) is in the solution set of the given system of inequalities.
C) (0, 3)
Plugging in the values of x=0 and y=3 into the inequalities, we get:
0+3 ≥ 2 which is true, and
4(0)+3 ≥ -1 which is true.
Therefore, point C (0, 3) is in the solution set of the given system of inequalities.
D) (0, -1)
Plugging in the values of x=0 and y=-1 into the inequalities, we get:
0+(-1) ≥ 2 which is false, and
4(0)+(-1) ≥ -1 which is false.
Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.
Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
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Which point is in the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
A-(2, 0)
B-(0, 2)
C-(0, 3)
D-(0, –1)
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. when the two crews start working together, what part of all the garbage bins will the first garbage truck empty?
Answer:
0.6
Step-by-step explanation:
Answer:
A. 0.6
Step-by-step explanation:
Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?
Answer:
y= 3x + 5
Step-by-step explanation:
If it is parallel it has the same slop so we know mx = 3x
then solve for b
-1 = 3(2) + b
-1 = 6 + b
5 = b
What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x
What is the x -coordinate of the x-intercept of the function 2/3y=−6x+12?
Answer:
y=9x+18
Step-by-step explanation:
to get 9, use the rise over run way. Using that, I got 9/1, which is equivalent to 9. Then you MUST add x after, so then you get 9x. The last number is always the y intercept, or where the line meets the vertical line. That was 18.
Hope I helped :)
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.
Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)
Answer:
-(10)
Step-by-step explanation:
Answer:
negative (negative 10) is the answer.
Step-by-step explanation:
Fill in the blank to solve the expression!
-(-8) = ____
Answer:
The answer is 8
Step-by-step explanation:
Multiply -1 by -8
A Zookeeper has 8 frogs. Each frog eats cups of food 3/4. How much food does the zookeeper need in total?
Answer:
6 cups
Step-by-step explanation:
8 x 3/4 = 6 I used a calculator
-1(-2)(-3)(-3)
please answer im so confused
There are49 students on a tour.Each guide can take 5 students.How many guides are needed?Explain.
Polly buys 14 cupcakes for the party. the bakery puts them into boxes that hold 4 cupcakes each.
how many boxes will be needed for Polly to bring all the cupcakes to the party? Explain
Answer:
11 boxes
Step-by-step explanation:
14 didived by 4 is 10.25 so if you round you should get 11 .
Answer:
4, If you round.
Step-by-step explanation:
If you divide the 14 by 4, you get 3.5 and you can't really break the box in half.
So, you would have to use 5.
Find the volume of a region bounded by the functions y = 2x + 6, the y-axis, and the x-axis as it revolves
around the x-axis.
GRAPH !
V=
units3
(round to the nearest tenth)
The bounded region in question is a triangle in the second quadrant. The line y = 2x + 6 has intercepts (0, 6) and (-3, 0), so revolving the triangle about the x-axis forms a cone with height 3 and whose circular base has radius 6. Its volume would then π/3 • 6² • 3 = 36π ≈ 113.1 units³.
But you're probably supposed to use calculus. Using the disk method, the integral for the volume is
[tex]\displaystyle V=\pi\int_{-3}^0 (2x+6)^2\,\mathrm dx[/tex]
[tex]\displaystyle V=\pi\int_{-3}^0(4x^2+24x+36)\,\mathrm dx[/tex]
[tex]V=\pi\left(\dfrac43x^3+12x^2+36x\right)\bigg|_{-3}^0=\boxed{36\pi}[/tex]
as expected.
Find - square root 49
+7
7
-7
24.5
Easy points please put answer
Answer:
7?
Step-by-step explanation:
Can someone pls help
Answer: Graph A and Graph C hope this helps
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
They both pass though the origin.
Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4
Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
How do you write this in a expression?please answer quick (take away a number n from 24)
Answer:
24-n
Step-by-step explanation: hope this helps if it does pls give brainliest tysm!
Answer:
24-n
Step-by-step explanation: we taking away so that is substraction.
Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?
Answer:
If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .
Step-by-step explanation:
how do you
find the exact value of each
variable that represents a side length in a right triangle
Find the shaded area. Use 3.14 as the approximate value of pi.
Answer:
164.73 cm²
Step-by-step explanation:
Area of the shaded area = area of semi-circle - area of the triangle
Area of the semi-circle:
Area = ½(πr²)
r = ½ of 34 = 17 cm
π = 3.14
Area = ½(3.14 × 17²)
Area = 453.73 cm²
Area of the triangle:
Area = ½*b*h
b = 34 cm
h = 17 cm
Area = ½ × 34 × 17
Area = 289 cm²
Area of the shaded area = 453.73 - 289 = 164.73 cm²
what is 7%o of 14.68
Answer:
1.03
Step-by-step explanation:
i multiplied 14.68×.07
hope this is correct and helps
Answer:
1.03
Have a good day! :)
Find the measure of angle A.
Answer:
30 degrees
Step-by-step explanation:
Keep this in mind, ALL triangles must equal 180 degrees.
This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.
[tex]90 + (x+37) + (x+67) = 180\\[/tex]
Now solve for x by isolating x
[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]
Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.
-7 + 37 = 30
<A is 30 degrees.
Check your work
Plug in -7 where you see x.
[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]
Turns out this was a 30-60-90 triangle. ✅
So I need help with this. Why Do we seat?
Answer:
When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.
Step-by-step explanation:
hope this helps
An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.
Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.
Answer:
Part A: 14x + 2
Part B: CJ's order is $30, and Cameron's order is $58.
Step-by-step explanation:
Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.
Part B:
CJ's Order:
14(2) + 2 =
28 + 2
$30
Cameron's Order:
14(4) + 2 =
56 + 2 =
$58
Hope this helps! :D
Two less than three times a number is equal to 19. What is the number?
The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable n to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
A) -165 °
B) -125 °
C) 125 °
D) 165 °
Answer:
it might be B, but dont trust me on this one because im not so sure.
Step-by-step explanation:
srry i just dont do this yet i havent rlly learned this but ik a bit abt it so yea. have a great night !
K(x)= -x^2 inverse function SHOW WORK PLEASE HELP FAST
Steps:
See attachment.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.
For more steps and graph see the attachment.
Answer: k=−x
Hope this helps.
21.6 Computer use. A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately (a) 0.07. (b) 0.62. (c) 1.6. (d) 8.7.
Answer:
(c) 1.6
Step-by-step explanation:
Calculation for what the margin of error will be approximately
First step is to calculate Total hours spent
Total hours spent = (197 * 23.5 hours)
Total hours spent =4,625 hours
Second step is to find the square root of the sample size
Sample size=√197
Sample size=14.04
Third step is to divide the Standard deviation of 8.7 hours by square root of sample size of 14.04
= 8.7 hours /14.04
= 0.6196
Fourth step is to use the Z table to find Z value at 99% confidence
Z value at 99% confidence = 2.58
Last step is to calculate the Margin of error
Margin of error = 0.6196 * 2.58
Margin of error = 1.59857
Margin of error= 1.6 (Approximately)
Therefore what the margin of error will be approximately is 1.6
Will mark the brainliest
Answer:
C.
X = -5
Step-by-step explanation:
Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.
Answer:
It will take her 3 hours and 120 pages
Step-by-step explanation:
It was on edge pls mark brainliest
Answer:
b
Step-by-step explanation:
Identify the linear function with a slope of -2 and a y-intercept of 1?
a. - 2y = x +1
b. y=-2x
c. y = x-2
d. y=-2x+1
it's d just put them together to equal y
