Solve for x: −3x + 3 < 6
x > −1
x < −1
x < −3
x > −3
Answers
Answer:
x > -1
Step-by-step explanation:
\(\bf{-3x+3 < 6}\)
Subtract 3 from both sides.
\(\bf{-3x < 6-3 }\)Subtract 3 from 6 to get 3.
\(\bf{-3x < 3}\)Divide both sides by -3. Since −3 is < 0, the inequality direction is changed.
\(\bf{x > \dfrac{3}{-3} }\)Divide 3 by -3 to get -1.
\(\bf{x > -1 \ \ \to \ \ \ Answer }\)Therefore, the correct option is the first.
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Related Questions
7) What does a multiplier of \( 1.2 \) mean?
Answers
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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Apples cost $2.99 per pound at Natural Grocers. If Landon purchases 3.6 pounds of apples, then how much will he spend? Round your answer to the nearest penny.
Answers
London spend $10.764 for apples.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Apples cost $2.99 per pound at Natural Grocers.
London purchases= 3.6 pounds
So, cost of 3.6 pounds of apples= 3.6 x 2.99
= $10.764
Hence, London spend $10.764 for apples.
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If sec t=−2.475, and angle t is in Quadrant III, find the other
5 trig ratios
cos t =
sin t =
tan t =
csc t =
cot t =
Answers
Given that sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are as follows: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
We are given that sec(t) = -2.475, which represents the reciprocal of the cosine of angle t. Since sec(t) is negative and angle t is in Quadrant III, we can deduce that the cosine of t is negative. To find cos(t), we can use the identity sec(t) = 1/cos(t) and solve for cos(t), resulting in cos(t) ≈ 0.404.
Using the Pythagorean identity \(sin^2(t) + cos^2(t)\) = 1, we can find sin(t) as sin(t) = ±\(\sqrt(1 - cos^2(t))\). Since angle t is in Quadrant III, where sine is negative, we take the negative value. Thus, sin(t) ≈ -0.916.
By dividing sin(t) by cos(t), we obtain the tangent of t. Hence, tan(t) ≈ sin(t)/cos(t) ≈ -0.916/0.404 ≈ 2.268.
Cosecant (csc) is the reciprocal of sine, so csc(t) ≈ 1/sin(t) ≈ -1.092.
Similarly, cotangent (cot) is the reciprocal of tangent, so cot(t) ≈ 1/tan(t) ≈ 1/2.268 ≈ 0.441.
In conclusion, when sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are approximately: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
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Two cars are traveling along a straight road. Car A maintains a constant speed of 77.0 km/h. Car B maintains a constant speed of 114 km/h. At t=0, car B is 45.0 km behind car A. How long does it take before car A is overtaken by car B?
Answers
Answer: 72.97 Minutes
Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.
To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.
Relative speed = Speed of car B - Speed of car A
Relative speed = 114 km/h - 77.0 km/h
Relative speed = 37.0 km/h
So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.
To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.
Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours
Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).
Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes
Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.
Hope this helps!
Isla was researching kiwi birds. She categorized each bird she observed by species and gender. The two-way frequency table below shows data from observations of 200 200200 kiwis. Species vs gender Great spotted Northland brown Tokoeka Total Female 24 2424 42 4242 44 4444 110 110110 Male 19 1919 39 3939 32 3232 90 9090 Total 43 4343 81 8181 76 7676 200 200200 Which of the following statements is true about the kiwis observed? Choose 1 answer:
Answers
After considering all the given options we conclude that the statement which true with regards to the question is Option (A).
The frequency (f) regarding a specific value is the count of occurrences of specified value in the data. The frequency distribution of a specified variable is the cluster of all possible values and the frequencies associated with these values.
Frequency distributions are projected graphically as frequency tables or charts.
It is known to us that the frequency table of kiwi birds with their gender in the figure
Number of female tokoeka kiwis = 44
Here if we consider that at the table there is none of any bird that is greater than 44 which projects it is the most observations in the research.
Hence, the major observations were taken of female tokoeka kiwis.
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The complete question is
Isla was researching kiwi birds. She categorized each bird she observed by species and gender. The two-way frequency table below shows data from observations of 200 kiwis.Which of the following statements is true about the kiwis observed?
(Choice A)
There were the most observations of female tokoeka kiwis.
(Choice B)
Great spotted kiwis were more likely to be male than female.
(Choice C)
More than half of the kiwis were Northland brown kiwis.
(Choice D)
Northland brown kiwis were more likely to be female than tokoeka kiwis were.
please answer this question!!!! In the graphic above, ΔRQS ≅ ΔTUS by: SSS. AAA. SSA. None of these choices are correct.
Answers
Answer:
ssa
Step-by-step explanation:
Answer: SSA
SSA typically applies when there are two triangles
Draw an ERD for the following situation, which is based on Lapowsky (2016): The Miami-Dade County, Florida, court system believes that jail populations can be reduced, reincarceration rates lowered, and court system costs lessened and, most important, that better outcomes can occur for people in and potentially in the court system if there is a database that coordinates activities for county jails, metal health facilities, shelters, and hospitals. Based on the contents of this database, algorithms can be used to predict what kind of help a person might need to reduce his or her involvement in the justice system. Eventually, such a database could be extensive (involving many agencies and lots of personal history and demographic data) once privacy issues are resolved. However, for now, the desire is to create a prototype database with the following data. Data about persons will be stored in the database, including professionals who work for the various participating agencies as well as those who have contact with an agency (e.g., someone who is a client of a mental health facility, who is incarcerated, or both). Data about people include name, birth date, education level, job title (if the person is an employee of one of the participating agencies), and (permanent) address. Some people in the system will have been prescribed certain medicines while in the care of county hospitals and mental health facilities. A medicine has a name and a manufacturer. Each prescription is for a particular medicine and has a dosage. A prescription is due to some diagnosis, which was identified on a certain date, to treat some illness, was diagnosed by some facility professional, and has notes explaining family history at the time of the diagnosis. Each illness has a name and some medicines or other treatments commonly prescribed (e.g., certain type of counseling). Each participating agency is of a certain type (e.g., criminal justice, mental health) and has a name and a contact person. People v is it or contact an agency (e.g., they are arrested by the justice system or stay at a shelter). For each contact a person has with an agency, the database needs to record the contact date, employment status at time of contact, address at time of contact, reason for visit/contact, and the name of the responsible agency employee.
Answers
The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.
What are the main entities and relationships in the ERD for the Miami-Dade County court system's database?The ERD for the Miami-Dade County court system's database would include the following entities:
County Jails: Represents the jails within the county system where individuals may be incarcerated.
Mental Health Facilities: Represents the facilities that provide mental health services and support.
Shelters: Represents the shelters that offer temporary housing and assistance to those in need.
Hospitals: Represents the healthcare institutions where individuals receive medical treatment.
Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.
The relationships between these entities would be established through appropriate connections:
County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.
Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.
Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.
Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.
These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.
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evaluate the following equation using given value for the variable 4x + 5 when x= 3
Answers
Answer:
4x +5 = 17
Step-by-step explanation:
put the value 3 in plave of x
(4 x 3) + 5 =
12 + 5 = 17
You may need to use the appropriate appendix table to answer this question.
Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)
(a)
P(−1.98 ≤ z ≤ 0.45)
(b)
P(0.52 ≤ z ≤ 1.22)
(c)
P(−1.55 ≤ z ≤ −1.02)
Answers
To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.
What is the probability P(−1.98 ≤ z ≤ 0.45)?To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.
First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.
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Afineni did 65% of her math homework on Thursday. She has 7 problems left. How many problems were on Afineni’s math homework?
Answers
Answer:
20 problems.
Step-by-step explanation:
She has 100 - 65 = 35% of her problems left.
35% is equivalent to 7 problems,
so, 100% = 7 * 100/35
= 100/5
= 20 problems
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
Answers
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
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COORDINATE GEOMETRY Find the distance from P to l .Line l contains points (0,-2) and (1,3) . Point P has coordinates (-4,4) .
Answers
According to the given statement the perpendicular distance form the point (-4,4) is 66.3.
What Exactly Is Coordinate Geometry?Coordinate Geometry can be used to define points in space. The primary axis labeled a x- and y-axes is defined first, and then the points were measured and labelled in relation to these points. Furthermore, numerous geometric forms such as a line, curve, circle, ellipse, and hyperbola can be plotted inside the coordinate axes and their attributes studied.
According to the given data:the equation for line ℓ.
Begin by finding the slope of the line through the given points,(0,-2) and (1,3):
m = (Y₂ - Y₁)/(x₂ - x₁)
= (3 - (-2))/(1 - 0)
= 5/1
= 5
The equation of the line using point (1,3) on the line:
Y - Y₁ = m(x - x₁)
putting value we get: (m = 5)
Y - (-2) = 5(x - 1)
Y + 2 = 5x - 5
Y = 5x - 3
The equation of the line w perpendicular to line ℓ through P(-4,4).
The slop of line l is 5. Write the equation of the line using point P(-4,4) on the line.
Y - Y₁ = m(x - x₁)
Y - 4 = 5(x - (-4))
Y - 4 = 5x + 4
Y = 5x + 8
Solve the system of equations to determine the point of intersection. Subtract both sides of (1) and (2) to eliminate y.
5x + 8 = 5x - 3
5x + 8 - 5x + 3 = 0
x = 11
putting the value of x to find y:
Y = 5x + 8
Y = 62
Applying the formula to find the distance of a points:'
\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
d = √((11 - 4 )² + (62 + 4)²)
d = √(4405)
d = 66.3
According to the given statement the perpendicular distance form the point (-4,4) is 66.3.
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cheng drew the model below to represent an equation.What value of x makes the equation true?
Answers
Answer:
So what’s the answer?
Step-by-step explanation:
What is the midpoint of (-2,-2) and (2,-8)?
I really need help
Answers
Answer:
-2,-2 : +4
2,-8 : -6
Step-by-step explanation:
+4 is the nearest.
please check my question and answer it, it's so essential for me or if it's possible guide me
PLS HLEP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answers
Answer:
1. 130°
2. 65°
3. 158°
4. 135°
5. 135°
Step-by-step explanation:
Let x be the unknown angle
1. Congruent angles are marked with a dash
Sum of interior angles of a 5-sided polygon is 540°
⇒ x + 90 + 110 + 100 + 110 = 540
⇒ x = 130°
2. Congruent angles are marked with a dash
Sum of interior angles of a triangle is 180°
⇒ 2x + 50 = 180
⇒ x = 65°
3. Sum of interior angles of a 5-sided polygon is 540°
⇒ x + 76 + 90 + 90 + 126 = 540
⇒ x = 158°
4. Congruent angles are marked with a dash
Sum of interior angles of a 6-sided polygon is 720°
⇒ 4x + 90 + 90 = 720
⇒ x = 135°
5. Congruent angles are marked with a dash
Sum of interior angles of a 8-sided polygon is 1080°
⇒ 8x = 1080
⇒ x = 135°
the top priority during physical activity in the classroom is
Answers
The top priority during physical activity in the classroom is the safety and well-being of the students.
Ensuring a safe environment for physical activity helps prevent injuries and promotes the overall health and engagement of the students.
1. Supervision: Adequate adult supervision should be provided to monitor the students' activities, ensuring they are engaged in safe and appropriate physical exercises.
2. Proper Warm-up and Cool-down: Encouraging students to perform warm-up exercises before engaging in more vigorous activities and cool-down exercises afterward helps prevent injuries and promotes proper muscle recovery.
3. Suitable Physical Activities: The chosen physical activities should be age-appropriate, taking into account the students' physical abilities and limitations. Activities should be designed to minimize risks and promote participation for all students.
4. Clear Instructions and Demonstration: Teachers should provide clear instructions and demonstrate proper techniques for exercises or activities to ensure students understand how to perform them safely and effectively.
5. Equipment and Environment Safety: Regular inspection of equipment and ensuring the physical environment is free from hazards (such as tripping hazards or obstacles) is essential for maintaining a safe setting.
6. Individual Needs and Modifications: Teachers should consider any individual needs or limitations of students, such as physical disabilities or health conditions, and make necessary modifications or adaptations to ensure their safety and inclusion.
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the top priority during physical activity in the classroom is?
Hello! I got this one wrong and need to know how to properly do this type of problem in the future.
Answers
Given:
\(y=-16t^2+vt+h\)Let's find the height of the ball, y, when:
t = 2 seconds
h = 20 ft
v = 72 ft/s
Plug in the values in the equation and solve for y.
We have:
\(\begin{gathered} y=-16(2)^2+72(2)+20 \\ \\ y=-16(4)+144+20 \\ \\ y=-64+144+20 \\ \\ y=100 \end{gathered}\)Therefore, the height of the ball is 100 ft.
ANSWER:
100 ft.
Answer: 100ft
If
t = 2 seconds
h = 20 ft
v = 72 ft/s
Then the answer from the question has to be
100ft
1. Tom has a circular clock with a circumference of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch?
Answers
Answer:
40
Step-by-step explanation:
round the last 8 to nine then do that to the other nine and do that once more
NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3
Answers
Answer:
1
Step-by-step explanation:
The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, \(\mid -3 \mid -2=3-2=1\). Hope this helps!
What is the value of k?
k=
m
Done
Intro
DOOODDOOO
Answers
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
All of the triangles are similar, so the ratio of short side to long side is the same for all.
4/8 = k/4
k = 16/8 = 2 . . . . multiply by 4 and simplify
The value of k is 2.
_____
Additional comment
By similar reasoning or by the Pythagorean theorem, ...
l = √20 = 2√5
m = √80 = 4√5
Find the area of 2x-9 + x+5
Answers
Hope this helps :)
Answer: 3x-4
Step-by-step explanation: First Simplify, add the numbers 2x-9+x+5=2x-4+x Then combine like terms, 2x-4+x= 3x-4
roots of quadratic equation x square -3x=0, will be
Answers
Answer:
0
3
Step-by-step explanation:
x²-3x=0x(x-3)=0x=0x-3=0 ⇒ x=3Adrianna's skateboard weighs 5 pounds and their motorcycle weighs 156 times as much. How much does the motorcycle weigh?
A. 680 pounds
B. 780 pounds
Adrianna loads their skateboard on a trailer that weighs 234 pounds.
What is the total weight of the trailer and skateboard in ounces?
____ ounces(s)
Answers
The total weight of the Motorcycle Weight trailer and skateboard is 3824 ounces.
To find the weight of the motorcycle, we can multiply the weight of the skateboard by 156.
Weight of the motorcycle = Weight of the skateboard * 156
Weight of the motorcycle = 5 pounds * 156
Weight of the motorcycle = 780 pounds
Therefore, the motorcycle weighs 780 pounds.
To find the total weight of the trailer and skateboard in ounces, we need to convert pounds to ounces. There are 16 ounces in 1 pound.
Weight of the trailer = 234 pounds * 16 ounces/pound
Weight of the trailer = 3744 ounces
Weight of the skateboard = 5 pounds * 16 ounces/pound
Weight of the skateboard = 80 ounces
Total weight of the trailer and skateboard = Weight of the trailer + Weight of the skateboard
Total weight of the trailer and skateboard = 3744 ounces + 80 ounces
Total weight of the trailer and skateboard = 3824 ounces
Therefore, the total weight of the Motorcycle Weight trailer and skateboard is 3824 ounces.
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if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?
Answers
Answer:
x2+x-2
Step-by-step explanation:
i had this question before
There are 20 girls and 26 boys on the tennis team . What is the ratio of the number of girls to the total number of players on the team
Answers
Working out:
20+26=46
20:46=10:23
Working out explained:
20+26=46
(This is the total number of people in the team)
20:46 = 10:23
(This is the ratio of the girls to the whole team and the 2nd is simplified answer)
Answer:
10:23
Step-by-step explanation:
Total number of players on the team = 20 + 26 = 46 players
Number of girls = 20
Ratio of the number of girls to the number of players on the team = 20/46 = 10/23 = 10:23
Ratio is 10:23
What is the length of the hypotenuse triangle
Answers
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
What is the the vertex of the parabola (y−1)2=24(x+2) ?
(-2,1)
(2,-1)
(2,1)
(1-2)
Answers
Answer:
The vertex is (-2,1)
Step-by-step explanation:
The standard equation for the parabola is 4p(x-h)=(y-k)^2
Rewrite (y-1)^2=24(x+2) in standard form
4*6(x-(-2))=(y-1)^2
Therefore parabola properites are:
(h,k)=(-2,1)
Find the solution of y= -x - 3 for x= -2.
Answers
Answer:
x=-2 and y=-1
Step-by-step explanation:
If x = -2 then:
y = -(-2)-3
y = 2-3
so y = -1
I hope this helps! And plz mark me brainliest!!!
Answer:
(-2,-1)
Step-by-step explanation:
Well if x is -2 we can plug it in to find y,
y = -(-2) - 3
y = 2 - 3
y = -1
(-2, -1)
Thus,
the solution is (-2,-1)
Hope this helps :)
mass of water vapor (g) / mass of dry air (kg)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
Answers
The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of the mixing ratio
The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.
Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.
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Complete the table to find the rule for the reflection, the coordinates of triangle A′B′C′, and the coordinates of the reflected image, triangle A″B″C″.
Answers
When we reflect a point across an axis, the distance between the point and the axis stays the same, but is flipped to the opposite side.
We know that the coordinates of point A are (4,1), the coordinates of point B are (6,3), and the coordinates of point C are (2,4).
In this case, Triangle ABC is a reflection of point A'B'C' across the y-axis.
= reflection across the y-axis