Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:
A) The origin is not included in the shaded region and the shaded area is below the line.
B) The origin is included in the shaded region and the shaded area is above the line.
C) The origin is included in the shaded region and the shaded area is below the line.
D) The origin is not included in the shaded region and the shaded area is above the line.
Answers
Answer:
D: The origin is not included in the shaded region, and the shaded area is above the line.
Step-by-step explanation:
First of all, let's find the shaded region for our given inequality:
y > ⅓x +4
To determine whether the origin is included in the shaded region, let's put in the value of x and y at the origin (0,0)
Plugging in x = 0 and y = 0 into the inequality gives;
0 > ⅓(0) + 4
0 > 4
0 is not greater than 4 like it states and thus it is false
Therefore, we conclude that the point (0,0) which is the origin is not included in the shaded region
In the inequality we have the symbol ">" which means greater than. For that symbol, we usually shade above the line on the inequality graph.
The only option that corresponds to our answers is option D
Answer: D
Step-by-step explanation:
Related Questions
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answers
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
The average combined SAT score for students at Brookstone High was 1000 in 2003, 1100 in 2004, 1210 in 2005, and 1331 in 2006. Predict the SAT score for Brookstone seniors in 2007. Explain your answer.
Answers
Brandon has been studying a lot and got 12 questions correct out of 15 on his Unit test. What
percentage of questions did Brandon get correct?
Answers
Answer: he got 80% correct
9) Eva can knit of a scarf in an hour. Her sister takes 3/4 of the time she takes. How long will her sister take to knit 8 similar scarves?
Answers
Answer:
it would take 360 minutes or 6 hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
3/4 of an hour is 45 mins, 45 minutes times 8= 360
Convert to hours and you get 6 hours.
Mark me brainiest
A point is plotted at 30.05 on a number line. Which of these describes the
location of the point?
between 5 and 30
between 30 and 31
between 29 and 30
1)) between 31 and 35
Answers
Boom
Find the slope-intercept equation of the line that
passes through (0,3) and has a slope of 1/2
Answers
Answer:
y=1/2x+3
Step-by-step explanation:
can someone help me with this geometry problem?
Answers
=========================================================
Explanation:
The exterior angle is 137, so the interior angle adjacent to that is 180-137 = 43. This is interior angle U of triangle UVW.
Let's find the missing angle W
U+V+W = 180
43+68+W = 180
111+W = 180
W = 180-111
W = 69
We have three three interior angles of triangle UVW
U = 43V = 68W = 69The longest side is opposite the largest angle, so the longest side is UV
The shortest side is opposite the smallest angle, so the shortest side is VW
The order of the sides from smallest to largest is
VW < UW < UV
Refer to the diagram below.
Which of the following is equal to
Answers
Answer:
1.6 billon
Step-by-step explanation:
1.6 billon
Answer:
B
Step-by-step explanation:
i think it is
Determine the type of triangle that draw below ASAP
Answers
Hope help but not 100% sure yet
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answers
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Simplify:
3(8) ° •(3)-2
A -216
B 24/9
C -27
D 1/3
(help please) :(
Answers
Answer:
C I think
Step-by-step explanation:
Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random.
a. What is the probability that exactly 10 customers will ask for hot peppers?
b. What is the probability that between two and six people inclusive want hot peppers?
c. What is the probability that all 15 will want hot peppers?
Answers
Answer:
A.) 0.002980
B.) 0.8335
C.) 0.00000000143
Step-by-step explanation:
The problem can be solved using the binomial probability formula :
P(success) p = 0.3
Number of trials (n) = 15
P(x = x) = nCx * p^x * (1 - p)^(n-x)
A) Exactly 10:
P(x = 10) = 15C10 * 0.3^10 * 0.7^5
3003 * 0.3^10 * 0.7^5
= 0.002980
B) between 2 and 6 people :
Using binomial probability calculator to save time
P(2) + p(3) + p(4) + p(5) + p(6)
0.0915 + 0.170 + 0.219 + 0.206 + 0.147
= 0.8335
C.) What is the probability that all 15 will want hot peppers?
P(x = 15) = 15C15 * 0.3^15 * 0.7^0
= 1 * 1.4348907E−8 * 1
= 0.00000000143
Average Weekly Earnings The average weeklyearnings in dollars for various industries are listedbelow. Find the percentile rank of each value.
804 736 659 489 777 623 597 524 228
For the same data, what value corresponds to the 40th percentile
Answers
Answer:
a. 228- 6th, 489- 17th, 524- 28th, 597- 39th, 623- 50th, 659- 61th, 736- 72th, 777- 83th, 804- 94th
b. 597
Step-by-step explanation:
arrange the data:
228, 489, 524, 597, 623, 659, 736, 777, 804
a. percentile = ((number of items below position + 0.5)/ number of items ) 100
for 228 = (0+0.5/ 9) 100 = 6th
for 489 = (1+0.5/ 9) 100 = 17th
for 524 = (2+0.5/ 9) 100 = 28th
for 597 = (3+0.5/ 9) 100 = 39th
for 623 = (4+0.5/ 9) 100 = 50th
for 659 = (5+0.5/ 9) 100 = 61th
for 736 = (6+0.5/ 9) 100 = 72th
for 777 = (7+0.5/ 9) 100 = 83th
for 804 = (8+0.5/ 9) 100 = 94th
b. The corresponding value for the 40th = number of item( percentile)/ 100
= 9( 40) / 100 = 3.6 approximately 4th which is 597
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answers
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
Which statement correctly compares -9 and 2?
Answers
Answer:
-9<2 is a correct comparison
You are buying bottles of glue for Mrs. Perro's class. A bottle of glue is $0.74. Which equation can be use to find the number bottles she purchased for $12.58?
Answers
She used all the money up so that’s how much she has
What is 21 1/4% expressed as a fraction?
a) 13/200
b) 17/80
c) 21/80
d) 17/40
Answers
Answer:
B. 17/80
Step-by-step explanation:
The decimal form is 0.2125.
To make sure if 17/80 is 21.25 percent divide 17÷80=0.2125=21.15 percent
the figure consists of a quarter circle and a parallelogram. what is the area of the composite figure? use 3.14 for . Round to the nearest whole number.
70in.²
84in.²
154in.²
224in.²
Answers
Answer:
224
Step-by-step explanation:
the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex], so for the circle plug in your numbers:
(3.14)([tex]14^{2}[/tex]) = 615.44
divide this by 4 because t=in the picture you only have a fourth of a circle:
615.44 / 4 = 153.86
the formula for area of a trapezoid is [tex]\frac{a + b}{2}[/tex] × h
so plug in your values: [tex]\frac{14+14}{2}[/tex] × 5
you get 70
add 70 and 153.22
70 + 153.22 = 223.22
this can round to 224
I started off with 430 Euros in an account, and I get an interest rate of 0.6% each year. How many Euros will be in my account after 15 years?
Answers
mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than 5
Answers
Answer:
where is the spinner at least attact an attachment so i can see the spinner and how the odds of likely it can turn out
Step-by-step explanation:
the ratio of two numbers is 4:5 after adding 20 to the smaller number and subtracting 20 from the greater number the ratio becomes 14:13 find the number please help!
Answers
Answer:
The numbers are 120 and 150.
Step-by-step explanation:
Please see the attached pictures for the full solution.
I need help please. This is due in 40 minutes:(
Given the diagram below, solve for x and y.
Answers
Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
Express the function G in the form f ∘ g ∘ h
G(x) = 3/(7+√x)^2
Answers
find a number such that five more than one half the number is three times the number
Answers
Answer:
0.5
Step-by-step explanation:
What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.
Answers
Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
Please, can someone help me on math? Struggling a bit.
Answers
for number one just multiply 4 and 6 which is 24
20 POINTS!!!!!!!!! The formula for finding the volume of a square pyramid is shown below, where a is the side length of the square base and h is the height of the pyramid. When finding the volume of a square pyramid, which unit of measure would be appropriate for the side length of the base? A. ounces B. cubic millimeters C. square inches D. centimeters
Answers
Answer:
since it's a square pyramid I would assume it's C square inches
The appropriate unit of measure for the side length of the base is, ''centimeters''.
Option D is true.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The formula for finding the volume of a square pyramid is,
⇒ V = 1/2a²h
Where, a is the side length of the square base and h is the height of the pyramid.
Now, By the formula;
The appropriate unit of measure for the side length of the base is, ''centimeters''.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
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10. Doug has added two decimal numbers. His work is shown.
14.2
+ 6.25
7.67
Doug's answer is incorrect. What did he do wrong? What should his sum be?
hurry please .
Answers
Can someone please help QUICK!!! (Will mark brainliest) Thank you!!
Answers
Answer:
red
Step-by-step explanation:
Need help with these 2
Answers
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4