Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the x-values in order from least to greatest (read the graph from left to right). Then, state the domain and range of the function.
Answers
The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The Graph shows the line function;
When the value of x is 0, y will be -3.
When the value of x is -1, y will be -2.
When the value of x is -2, y will be -1.
When the value of x is -3, y will be 0.
The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).
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Related Questions
The population of a large city can be calculated using the function P=345,000(1.01). What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10?
Answers
Rate of change (ROC) refers to how quickly something changes over time.
What is rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or slowdown of changes (i.e., the pace). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the rate of change.Given data :
The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.
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Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!
Answers
Answer:
w is the correct answer
Step-by-step explanation:
[tex]y \leqslant \frac{1}{3} x - 2[/tex]
If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).
how would you solve 4c + 11 = -25? explain how in complete sentences and list the solution. (yall im so lost in class rn, i need this)
Answers
Answer:
c = -9Step-by-step explanation:
4c + 11 = -25
4c = -25 - 11
4c = -36
c = -36 : 4
c = -9
or
4c + 11 + 25 = 0
4c + 36 = 0
c = (-36)/4
c = -9
-------------------
check
4 *(-9) + 11 = -25
-36 + 11 = -25
-25 = -25
the answer is good
Answer:
c= -9
Step-by-step explanation:
1. 4c + 11 = -25
2. Put all like terms together and change the sign. In this case, the +11 will go to the right with the -25 and it will become -11.
Therefore:
4c= -25 -11
4c= -36
3. Make c the subject. Since 4 is being multiplied by c, when it goes to the right, it will divide.
Therefore:
c= -36/4
c= -9
Find x and y please help
Answers
Answer:
x is 130°,y is 60°
Step-by-step explanation:
x is corresponding to 130° therefore they are equal to find y since the angle on a straight line is 180° you subtract 180 from 130 and get 50 then you have gotten the other interior angle then add both interior angles and subtract by180 then you get the y
Answer:
X = 130° Y = 60°both the lines are parallel
therefore, X= 130° ( if two lines are parallel their corresponding angles are equal)
Y + 70° = X ( sum of tow interior angle is equal to exterior)
Y + 70= 130
Y = 130 - 70
Y = 60°
What is the solution to 3(–3x + 9) = −18?
O x = -5
O x = 5 or x=1
O x = -5 or x = 1
no solution
Answers
Answer:
x = 5 (If solved algebraically)
No Solution (If the parentheses are absolute value lines)
Step-by-step explanation:
Result when solving this way: 3|-3x + 9| = -18
1) Divide both sides by 3
|-3x + 9| = -18/3
2) Simplify 18/3 to 6
|-3x + 9| = -6
3) Break down the problem into these 2 equations.
-3x + 9 = -6
- (-3x + 9) = -6
4) Solve the 1st equation: -3x + 9 = -6
- Subtract 1 from both sides.
-3x = -6 - 9
-Simplify -6 - 9 to -15.
-3x = -15
-Divide both sides by -3.
x = -15/-3
- Two negatives make a positive.
x = 15/3
- Simplify 15/3 to 5.
x = 5
6) Solve the 2nd equation: - (-3x+ 9) = -6
1 - Remove parentheses
3x - 9 = -6
2 - Add 9 to both sides
3x = -6 + 9
3 - Simplify -6 + 9 to 3.
3x = 3
- Divide both sides by 3.
x = 1
6) Collect all solutions.
x = 1,5
7) Check solution.
When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.
We will drop x = 1 from the solution set.
8) Check solution.
When x = 5, the original equation 3|-3x + 9| = -18 does not hold true.
We will drop x = 5 from the solution set.
9) Therefore,
No solution exists.
Result when solving algebraically:
Simplifying
3(-3x + 9) = -18
Reorder the terms:
3(9 + -3x) = -18
(9 * 3 + -3x * 3) = -18
(27 + -9x) = -18
Solving
27 + -9x = -18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + -9x = -18 + -27
Combine like terms: 27 + -27 = 0
0 + -9x = -18 + -27
-9x = -18 + -27
Combine like terms: -18 + -27 = -45
-9x = -45
Divide each side by '-9'.
x = 5
Simplifying
x = 5
A culture started with 1,000 bacteria. After 4
hours, it grew to 1,100 bacteria. Predict how
many bacteria will be present after 12 hours.
Round your answer to the nearest whole
number.
Answers
Answer:
1331 bacteria
Step-by-step explanation:
Number bact = 1000 e^kt
1100 = 1000 e^k4
shows k = .023827545
Now for 12 hours
x = 1000 e^(.023827545 * 12)
= 1331
i realized my answer is wrong.
The graph of the function f(x) is shown below.
-a
If a = 9, then find the value of
3a
f(x) d
-a
f(x) dx =
a
3a
fr f(x) dx.
-a
ROUND YOUR FINAL ANSWER TO 4 DECIMAL PLACES.
2a
3a
Answers
The integral of [tex]f(x)[/tex] over the interval [tex][-a,a][/tex] corresponds to the area of a semicircle of radius [tex]a[/tex], so
[tex]\displaystyle \int_{-a}^a f(x) \, dx = \frac{\pi a^2}2[/tex]
The integral over [tex][a,3a][/tex] corresponds to the negative area of a trapezoid with height [tex]a[/tex] and base lengths [tex]2a[/tex] and [tex]a[/tex], so
[tex]\displaystyle \int_a^{3a} f(x) \, dx = -\frac{a(2a+a)}2 = -\frac{3a^2}2[/tex]
Then combining the integrals, we have
[tex]\displaystyle \int_{-a}^{3a} f(x) \, dx = \frac{\pi a^2}2 + \left(-\frac{3a^2}2\right) = \frac{(\pi-3)a^2}2[/tex]
When [tex]a=9[/tex], the integral evaluates to
[tex]\displaystyle \int_{-9}^{27} f(x) \, dx = \frac{(\pi-3)\times81}2 \approx \boxed{5.7345}[/tex][/tex]
A student wants to simulate 37 birthdays, but she does not have a calculator or software program available, so she makes up 37 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not?
Answers
It is not okay to conduct the simulation because people generally favor some numbers.
How to illustrate the information?From the information given, the student wants to simulate 37 birthdays, but she does not have a calculator or software program available.
In this case, it's not okay to conduct the simulation because people generally favor some numbers.
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Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month
Creating a New Budget to Meet Your Saving and Spending Needs
Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month
Answers
According to the updated budget, the net income should be at least $2100.
A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.
The following list explains why the figures shown above are accurate:
The factors for the costs in the previous budget are;
Net income =$1,850.00
Cost of rent =$600
Gas, vehicle payment, and insurance together = $475.
Cost of phone, online world, and utility companies = $230.
Cost of grocery stores= $300
Cost of amusement= $50
Cost of homeowners insurance = $20.
$75 has been set aside for recreational expenditures.
Net monthly savings = $100.
Modifications to the spending plan:
$50 is the allotted sum for a computer system.
Monthly net savings = $300
∴Savings increases= $300-$100=$200
Previous net income+ cost of computer system+ 200(extra savings than previous)
= $(1850+50+200)
=$2100
So,Net earnings = $2,100
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n
Sigma 2k+4
k=1
4th term in sequence?
Answers
Answer:
12
Step-by-step explanation:
2k+4= 2*4 +4=8+4=12
hope it will help
Answer:
12
Step-by-step explanation:
Given:
[tex]\displaystyle \sum^n_{k=1}2k+4[/tex]
The 4th term in the sequence is when k = 4.
Therefore, substitute k = 4 into 2k + 4:
⇒ 2k+ 4 = 2(4) + 4
= 8 + 4
= 12
Therefore, the 4th term in the sequence is 12
PLEASEE I BEG YOU!!!!!!
Answers
Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring
Answers
If we write 0.125 in the fraction form then we will get 7/20.
Given Number which is 0.125
We are given a number 0.125 and we have to write this in fraction form.
0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.
Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.
In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.
Hence the number 0.125 can be written as 7/20 in the fraction form.
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joseph drove from his summer home to his place of work. To avoid the road construction, joseph decided to travel the gravel road. After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work. this situation is shown in the graph below. determine the slope of the line and describe what it means in this situation
Answers
The slope of the line and describe is the negative 0.5 which means in this situation will be negative 0.5 miles per minute.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.
Joseph drove from his summer home to his place of work.
To avoid the road construction, Joseph decided to travel the gravel road.
After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work.
This situation is shown in the graph below.
Then the slope of the line and describe what it means in this situation will be
Slope = (52 – 62) / (40 – 20)
Slope = – 10 / 20
Slope = – 0.5 miles per minute
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The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 corresponds to the year 2007. Find the assets in each following years. A)2012 B) 2014 C) 2017
Answers
The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the assets (in billions of dollars) for a financial firm can be approximated by the function [tex]A(x)=318e^{0.27x}[/tex], where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,
A.) 2012 - [tex]A(12)=318e^{0.27\times 12} = 8,119.72[/tex]
B.) 2014 - [tex]A(14)=318e^{0.27\times 14} = 13,933.5[/tex]
C.) 2012 - [tex]A(17)=318e^{0.27\times 17} = 31,321.23[/tex]
Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.
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If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
Answers
Answer:
Money saved = $18
Step-by-step explanation:
Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given
Cost of an Item = 60$
Discount % = 30% on cost
Hence, Discount in $ = 60$*30%
= 18$
Actual Cost = 60$ - 18$ = 42$
Therefore, Savings = Discount
= 18$
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The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?
Answers
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
Which is the graph of f(x) = 100(0.7)?
Answers
I assume you meant [tex]f(x)=100(0.7)^{x}[/tex]. The graph is shown in the image below.
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
If you are given the graph of a line in an xyplane and its corresponding equation, you can be sure that the coordinates of every point on that line will satisfy the equation.
Answers
If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.
What is the equation for a straight line ?An equation of a straight line is given by
y = mx+c
where m is the slope and c is the intercept on y axis.
If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .
Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.
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How would five billion, eighteen million, two hundred sixteen thousand, forty be written in standard form?
A. 5,018,216,004
B. 5,018,210,014
C. 5,018,216,040
D. 5,180,216,040
Answers
Answer:
c
Step-by-step explanation:
answer is C . First last digits are forty you will have down 2 answers
Answer:
the answer to the question is C
Which statement is true about the graphs of the two lines y=-8x-5/4and y=1/8x+4/5?
Answers
The statement first "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines given:
y = -8x - 5/4 ..(1)
y = x/8 + 4/5 ..(2)
Slope of the lines
m(1) = -8
m(2) = 1/8
m(1)m(2) = (-8)(1/8) = -1
Conditions for lines are perpendicular to each other.
Thus, the statement "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
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Equation:
[tex]5 + 5 = 5x + 5 - 2[/tex]
Solve for x.
Answers
Answer:
x = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
To solve for x, we need to isolate it [get it alone on one side]
We should start by simplifying (combining the like-terms of our equation):
5 + 5 = 5x + 5 - 2
10 = 5x + 3
- 3 - 3 (subtract 3 from both sides to isolate x)
7 = 5x
÷5 ÷5 (divide both sides by 5 to find "1"x)
[tex]\frac{7}{5}=x[/tex]
So, x = [tex]\frac{7}{5}[/tex]
(x = 7/5)
hope this helps!!
5 + 5 = 5x + 5 - 2
Answer :
[tex]x = \frac{7}{5} [/tex]
Step-by-step explanation:
5 + 5 = 5x + 5 - 2
10 = 5x + 3
Take 3 to the other side
10 - 3 = 5x
7 = 5x
[tex] \frac{7}{5} = x[/tex]
or[tex]x = \frac{7}{5} [/tex]
A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8% 16.7% 20% 33.3%
Answers
Answer: 2.8%
Step-by-step explanation:
On the first roll, probability to get a 3 is 1/6.
On the second roll probability to get a 4 is also 1/6.
To get both of these numbers together, you need to multiply the two probabilities.
1/6 x 1/6 = 1/36.
1/36 = ~2.8
2.8%
Answer: 2.8%
Step-by-step explanation: I got it right on the test.
urgent help algebra 2
Answers
y=3/4x-7
Point slope form is:
y − y1 = m(x − x1)
so
y +7 = 3/4(x -0)
or
y + 7 = 3/4x
Arturo worked a 40-hour week at $12 per hour. He then received a raise of $1 per hour and worked a 30-hour week. How much more money did he receive for the first week of work than the second?
Answers
Arturo receives $90 more in the first week of work than the second.
What are Working Hours?The time a person spends engaged in compensated work is referred to as working time.
Given,
First Week Working hours = 40 hours, per hour rate = $12
The second-week working hours = 30, per hour rate = $13 (With raise of $1)
Calculation of Wages
First Week wages = Total Weekly Hours × Per Hour rate
= 40 × 12 =$480
Second Week wages = Total Weekly Hours × Per Hour rate
= 30 × 13 =$390
The difference between the First week's wages and the Second week's wages is $90 ($480 - $390).
Thus, Arturo earn $90 more in the first week as compared to the second week.
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1) Which relation is a function?
es
A) x = y² - 3
B) x = y - 4x²
C) y² = 4x - 6
D) x² = y²-10
Answers
Answer:
B
Step-by-step explanation:
x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function
Compute the projection of u on v.
Answers
Answer:
[tex]\frac{3}{7}.v[/tex] option (C) is correct
Step-by-step explanation:
projection of vectors: The vector projection of one vector over another vector is the length of the shadow of the given vector over another vector.
projection of vector u on v is given by :
[tex](\frac{u.v}{v.v}).v[/tex]Given,
vector u = <5, 7, 1>
vector v = <2, -1, 3>
substituting these values in the above formula
[tex][\frac{(2,-1,3)(5,7,1)}{(2,-1,3).(2,-1,3)} ].v[/tex] = [tex]\frac{6}{14}.v= \frac{3}{7}.v[/tex]thus the correct answer is option (C)
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Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, negative 2), B is (1, negative 6), C is (9, negative 2), D is (9, negative 6), z 1 is (3, negative 4), and z 2 is (negative 4, 1).
Which expression is the result of subtracting (z2 – 3i) from (z1 + 2)?
A
B
C
D
Answers
[tex]z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i[/tex]
which corresponds with point C
The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.
Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).
Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.
z2-3i=(-4+i)-3i=-4-2i
z1+2=(3-4i)+2=5-4i
(z1+2)-(z2-3i)=(5-4i)-(-4-2i)
=9-4i+4+2i
=9-2i
Hence for the expression (z1+2)-(z2-3i)=9-2i
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I WILL MARK 5 STARS! PLSSS FAST! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
Answers
At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. is mathematically given as
PoT=-PhT PhT =+PoT What was the temperature in each city?Generally, the equation for the temperature at Portland, Maine is mathematically given as
PoT=-PhT
Since Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix.
In conclusion, the temperature in each city is
PoT=-PhT
PhT =+PoT
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On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).
Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?
g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x
Answers
Answer: [tex]-4\left(\frac{1}{2} \right)^{x}[/tex]
Step-by-step explanation:
To reflect the graph of a function across the x-axis,
[tex]y=f(x) \longrightarrow y=-f(x)[/tex]
Answer:
c
Step-by-step explanation:
Need help pls..........................................
Answers
Answer:
6, -2
Step-by-step explanation:
basically It asks you what's x when y=2, which on the graph is 6, -2, and -5 I think. but there is no point on the -5 so we don't need to talk about that one.
