What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
Answers
Answer:
the coefficient of the variable in the given expression is, -3
Step-by-step explanation:
Coefficient states that a number which is used to multiply a variable.
For example:
4y
here, y is the variable and 4 is the coefficient.
As per the statement:
Given the expression:
Here, x is the variable
By definition of coefficient, we have;
⇒-3 is the coefficient
Therefore, the coefficient of the variable in the given expression is, -3
Related Questions
A medical office is replacing their existing flooring with carpeting in the waiting and office areas and laminate flooring in the patient exam rooms. If each of the 10 exam rooms is 10 feet by 10 feet, the waiting area is 20 feet by 15 feet, and the office area is 25 by 20 feet, how many total square feet of flooring will they be replacing?
There are 10 playing cards in a bag. 7 of those cards are spades.What is the probability of picking a spade randomly from the bag?
Which of the following is the equation of a line that passes through the point (1,4) and is parallel to the x-axis?A. x = 4 B. y = 4 C. y = 1 D. x = 1
Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.
B. 1+2√x3
C. 3x3−x2+12
D. x4−16
Answers
The cubic binomial expression with a positive leading coefficient is 1+2x^3
How to determine the cubic binomial expression?
A cubic binomial expression has the following properties:
- It has 2 terms
- One of its variable term has a power of 3
This means that a cubic binomial expression is represented as:
ax^3 + b or b + ax^3
From the question, we understand that it has a positive leading coefficient.
This means that:
a > 0
From the list of options, we have:
1+2x^3
Hence, the cubic binomial expression with a positive leading coefficient is 1+2x^3
Read more about binomial expressions at:
#SPJ2
C. 3x^3-x^2+12
You are deciding whether to light a new factory using bulb A, bulb B, or bulb C.
Which bulb would be better to use on the factory floor?
Which bulb would be better to use in the break room?
To answer these questions, you will compare the energy usage of the three bulbs. The amount of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of energy needed to provide 1000 watts of power for 1 hour.
1. Circle the two bulbs you picked.
incandescent
Halogen
Fluorescent
2.
3. Practice: Summarizing (3 points)
Fill in the blanks.
The energy usage of a light bulb is a function. The input for the function is _________, measured in hours.
The output of the function is energy usage, measured in ____________.
Identify the functional relationship between the variables. _________________ is a function of _________________.
The graph of the function will show energy usage on the _____________ axis and time on the _______________ axis.
4. Practice: Organizing Information (2 points)
Use the data given to complete the table for your first bulb.
DATA TABLE A
Time (hours) x Energy (kWh) y Point (time, energy) (x, y)
3
10
5. Practice: Organizing Information (2 points)
Use the data given to complete the table for your second bulb.
DATA TABLE B
Time (hours)x Energy (kWh)y Point (time, energy)(x, y)
3
10
6. Practice: Organizing Information (5 points: 1 point for labels, 2 points for each graph)
Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from Table A on the graph. Connect the points with a line. On the same graph, plot the points from Table B and connect them with a line.
7. Practice: Summarizing (1 point)
Classify each of your graphs as increasing, decreasing, or constant.
First bulb: ___________________
Second bulb:___________________
8. Practice: Summarizing (2 points)
Fill in the blanks.
First bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.
Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.
9. Practice: Summarizing (1 point)
The workers leave the lights on in the break room for stretches of about 3 hours. Which light bulb would light this room using the least amount of energy?
10. Practice: Summarizing (1 point)
The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light bulb would light this room with the least amount of energy?
Answers
Answer:
To determine which bulb would be better to use on the factory floor and in the break room, we need to compare the energy usage of the three bulbs: incandescent, halogen, and fluorescent.
1. Based on energy efficiency, we would circle the two bulbs that are more energy-efficient: halogen and fluorescent.
3. Summarizing:
- The energy usage of a light bulb is a function. The input for the function is time, measured in hours.
- The output of the function is energy usage, measured in kilowatt-hours (kWh).
- Time is a function of energy usage.
4. Organizing Information: DATA TABLE A
Time (hours) x Energy (kWh) y Point (time, energy) (x, y)
3 -
10 -
5. Organizing Information: DATA TABLE B
Time (hours) x Energy (kWh) y Point (time, energy) (x, y)
3 -
10 -
6. Organizing Information:
- Graph 1: Label the axes with "Time (hours)" and "Energy (kWh)". Plot the points from Table A and connect them with a line.
- Graph 2: Label the axes with "Time (hours)" and "Energy (kWh)". Plot the points from Table B and connect them with a line.
7. Summarizing:
- Graph 1 (First bulb) classification: Unknown, as the points are not provided.
- Graph 2 (Second bulb) classification: Unknown, as the points are not provided.
8. Summarizing:
- First bulb: When 3 hours is the input, the output (energy usage) is unknown. When 10 hours is the input, the output (energy usage) is unknown.
- Second bulb: When 3 hours is the input, the output (energy usage) is unknown. When 10 hours is the input, the output (energy usage) is unknown.
9. Summarizing:
- To determine which light bulb would consume the least amount of energy in the break room for stretches of about 3 hours, we need the data or information on energy usage for each bulb. Without that information, it's not possible to make a definitive conclusion.
10. Summarizing:
- Similarly, to determine which light bulb would consume the least amount of energy in the main room of the factory for stretches of 9 hours, we need the data or information on energy usage for each bulb. Without that information, it's not possible to make a definitive conclusion.
In summary, without the energy usage data for each bulb, we cannot determine which bulb would be better to use on the factory floor or in the break room, or which bulb would consume the least amount of energy for specific time durations.
Step-by-step explanation:
What is m∠D
?
Answers
-2x+90 = x-30
2x+x = 90+30
3x = 120
x = 120/3
x = 40
Now, m∠D = x-30 = 40-30 = 10
So, Your Final Answer would be 10 degrees.
Hope this helps!
m∠C = m∠D
−2x+90 = x−30
Add 2x to both sides:
90 = 3x - 30
Add 30 to both side:
120 = 3x
Divide both sides by 3:
x = 40
Plugging in:
m∠D=x−30 = 40-30 = 10
The answer is m∠D = 10
(n + 7)(n - 2)
Answers
n(n - 2) + 7(n - 2)
n^2 - 2n + 7n - 14
n^2 + 5n - 14
Answer:
n^2 + 14n + 49
Step-by-step explanation:
A. y = x/3
B. y = x + 3
C. x = y + 3
D. y = 3x
Answers
x=y+3
Answers
Answer:
arcsin(8/15), since the sine is 24m/45m=8/15. so the answer is 8/15
Step-by-step explanation:
hope this helps ;)