Answers
Answer:
A: y < -2x - 1
Step-by-step explanation:
First, to figure out which part of the graph to be looking at, you will look at the shaded region as the solution area.
So, the solution area is to the left of the line. Said line is a dotted line which means that the points on the line can not be a solution.
If the points on the line can not be a solution then it eliminates answer choices C and D because y can not equal the other side of the inequality.
Now, we will bring the shaded region back into focus to find out if y is greater than or less than the other side. The shaded area is "below" the line so it is less than -2x - 1.
To ensure this is correct, plug two points into the inequality we just chose, one from the shaded region and one not, just to make sure the answer is correct.
I picked (-3,4) to test. So plug them into the inequality to get:
4 < -2 (-3) - 1
So 4 < 6 - 1 which is correct.
Then from the other side of the line I picked (5,2)
2 < -2 (5) - 1
2 < -10 - 1
2 < -11 is not true so the inequality that we found was correct.
Related Questions
∫▒〖e^2x dx〗= ???? thanks
Answers
Answer:
Step-by-step explanation:
I=∫e^2x dx
put 2x=t
2dx=dt
dx=dt/2
I=1/2∫e^t dt
=1/2 e^t+c
=1/2 e^{2x}+c
Which of the following correctly describes the symmetry of the cubic parent
function?
^
A. It is symmetric about the x-axis.
B. It is symmetric about the y-axis.
C. It is symmetric about the origin.
D. It is not symmetric about any point or line.
Answers
The statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
What is the symmetry of the function about the X-axis?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "
What is the symmetry of the function about the Y-axis?"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "
What is the symmetry of the function about the origin?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "
For given question,
The parent cubic function is [tex]f(x)=x^3[/tex]
The graph of the function [tex]f(x)=x^3[/tex] is as shown below.
From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.
This means, the graph of the function [tex]f(x)=x^3[/tex] is symmetric about the origin.
Therefore, the statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
Learn more about the symmetry of the function here:
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One number is 5 times as large as another. The sum of their reciprocals is
[tex] \frac{36}{5} [/tex]
. Find the two numbers.
Answers
Answer:
[tex]The \ two \ numbers \ are \ \frac{1}{6} \ and \ \frac{5}{6}[/tex]
Step-by-step explanation:
Let the two numbers be = x , y
Given:
One of the number is 5 times other number, that is y = 5x ----- ( 1 )
The sum of their reciprocals is 36/5 , that is
[tex]\frac{1}{x} + \frac{1}{y} = \frac{36}{5}[/tex] ------ ( 2 )
Substitute y in the second equation.
[tex]\frac{1}{x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{1 \times 5}{5 \times x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5}{5x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5+1}{5x} = \frac{36}{5}\\\\\frac{6}{5x} =\frac{36}{5}\\\\36 \times 5x = 6 \times 5\\\\x = \frac{6 \times 5}{36 \times 5} = \frac{1}{6}[/tex]
Substitute x in first equation.
[tex]y = 5x\\\\y = 5 \times \frac{1}{6} \\\\y = \frac{5}{6}[/tex]
Calculate the interest rate with a deposit $27,580.00 in an interest-bearing account. After one year, your accrued interest is $1,442.43.
Answers
Answer:
5.23%
Step-by-step explanation:
See Image below:)
What is sin(C)? Please explain.
Answers
Answer:
sin(C) = opposite side / hypotenuse
= 15/17
Answer:
[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]
Step-by-step explanation:
[tex] \small \sf \: Sin ( C ) = \frac {Opposite \: side }{Hypotenuse} \\ [/tex]
Where we have given :-
Opposite side = 15Hypotenuse = 17substitute the values, we get
[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]
You earn $36 for washing 6 cars. How much do you earn for washing 3 cars?
Answers
Answer:
18$
Step-by-step explanation:
36 divided by 6 is 6 dollars. this means you earn 6 dollars per car. multiply that by 3 cars and you get 18$.
Answer:
You earn $18 for washing 3 cars.
$36➗ 6= $6
$6x3= $18
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997. Find the average rate of change in the number of public library visits from 1993 to 1997.
Answers
Answer:
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
Step-by-step explanation:
Average rate of change:
Division of the subtraction of the final value by the initial value, divided by the length of time.
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997.
Initial value: 1.3 billion
Final value: 1.7 billion
1997 - 1993 = 4 years.
Thus:
[tex]A = \frac{1.7 - 1.3}{4} = \frac{0.4}{4} = 0.1[/tex]
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
A, B, and C are collinear points:
C is between A and B.
If AC = 2x + 1, CB = 3x - 1, and AB = 35, findX.
Answers
Answer:
X = 7
Step-by-step explanation:
that’s the answer
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. Types of restaurants (fast food, organic food, sea food, etc.)A. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point. B. The nominal level of measurement is most appropriate because the data cannot be ordered. C. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point. D. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.
Answers
Answer:
B. The nominal level of measurement is most appropriate because data cannot be ordered.
Step-by-step explanation:
Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.
Find a power series for the function, centered at c, and determine the interval of convergence. f(x) = 9 3x + 2 , c = 6
Answers
Answer:
[tex]\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ........[/tex]
The interval of convergence is:[tex](-\frac{2}{3},\frac{16}{3})[/tex]
Step-by-step explanation:
Given
[tex]f(x)= \frac{9}{3x+ 2}[/tex]
[tex]c = 6[/tex]
The geometric series centered at c is of the form:
[tex]\frac{a}{1 - (r - c)} = \sum\limits^{\infty}_{n=0}a(r - c)^n, |r - c| < 1.[/tex]
Where:
[tex]a \to[/tex] first term
[tex]r - c \to[/tex] common ratio
We have to write
[tex]f(x)= \frac{9}{3x+ 2}[/tex]
In the following form:
[tex]\frac{a}{1 - r}[/tex]
So, we have:
[tex]f(x)= \frac{9}{3x+ 2}[/tex]
Rewrite as:
[tex]f(x) = \frac{9}{3x - 18 + 18 +2}[/tex]
[tex]f(x) = \frac{9}{3x - 18 + 20}[/tex]
Factorize
[tex]f(x) = \frac{1}{\frac{1}{9}(3x + 2)}[/tex]
Open bracket
[tex]f(x) = \frac{1}{\frac{1}{3}x + \frac{2}{9}}[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{1- 1 + \frac{1}{3}x + \frac{2}{9}}[/tex]
Collect like terms
[tex]f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2}{9}- 1}[/tex]
Take LCM
[tex]f(x) = \frac{1}{1 + \frac{1}{3}x + \frac{2-9}{9}}[/tex]
[tex]f(x) = \frac{1}{1 + \frac{1}{3}x - \frac{7}{9}}[/tex]
So, we have:
[tex]f(x) = \frac{1}{1 -(- \frac{1}{3}x + \frac{7}{9})}[/tex]
By comparison with: [tex]\frac{a}{1 - r}[/tex]
[tex]a = 1[/tex]
[tex]r = -\frac{1}{3}x + \frac{7}{9}[/tex]
[tex]r = -\frac{1}{3}(x - \frac{7}{3})[/tex]
At c = 6, we have:
[tex]r = -\frac{1}{3}(x - \frac{7}{3}+6-6)[/tex]
Take LCM
[tex]r = -\frac{1}{3}(x + \frac{-7+18}{3}+6-6)[/tex]
r = -\frac{1}{3}(x + \frac{11}{3}+6-6)
So, the power series becomes:
[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}ar^n[/tex]
Substitute 1 for a
[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}1*r^n[/tex]
[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}r^n[/tex]
Substitute the expression for r
[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}(-\frac{1}{3}(x - \frac{7}{3}))^n[/tex]
Expand
[tex]\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}[(-\frac{1}{3})^n* (x - \frac{7}{3})^n][/tex]
Further expand:
[tex]\frac{9}{3x + 2} = 1 - \frac{1}{3}(x - \frac{7}{3}) + \frac{1}{9}(x - \frac{7}{3})^2 - \frac{1}{27}(x - \frac{7}{3})^3 ................[/tex]
The power series converges when:
[tex]\frac{1}{3}|x - \frac{7}{3}| < 1[/tex]
Multiply both sides by 3
[tex]|x - \frac{7}{3}| <3[/tex]
Expand the absolute inequality
[tex]-3 < x - \frac{7}{3} <3[/tex]
Solve for x
[tex]\frac{7}{3} -3 < x <3+\frac{7}{3}[/tex]
Take LCM
[tex]\frac{7-9}{3} < x <\frac{9+7}{3}[/tex]
[tex]-\frac{2}{3} < x <\frac{16}{3}[/tex]
The interval of convergence is:[tex](-\frac{2}{3},\frac{16}{3})[/tex]
As a person travels on a Ferris wheel their height above the ground rises and falls. If you plot the height of the person above the ground on a graph, the graph will rise and fall, similar to the graph of sine or cosine. What is another situation where a real-world setting models the periodic graph of sine or cosine? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand.
Answers
Answer:
(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.
**
let t=seconds after wheel starts to rotate.
let h=meters above ground after wheel starts to rotate
..
The formula I got: h(t)=20sin(πt/18)+22
This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.
..
After 15 seconds:
h=20sin(15π/18)+22
=20sin(5π/6)+22
=20*(1/2)+22
=32 m
..
When h=38 m
38=20sin(πt/18)+22
38-22=20sin(πt/18)
20sin(πt/18)=16
sin(πt/18)=16/20=4/5=.8
arcsin(.8)=0.927
πt/18=0.927 (radians)
t=(.927*18)/π≈5.31
..
height above the ground after 15 seconds≈38 m
seconds elapsed when height is 38 m above ground≈5.3 seconds
Simplify the expression.
4(11 + 7) ÷ (7 – 5)
Answers
Answer:
36
Step-by-step explanation:
4(11 + 7) ÷ (7 – 5)
4 * 18 ÷ 2
=36
Mathematics text book for class vi has 320 pages the chapter symmetry runs from page 261 to 272. The ratio of the number of pages of this chapter to the total number of pages of the book
Answers
Answer:
Step-by-step explanation:
No
The ratio of symmetry: book = 12 : 320 [which can be simplified to 3 : 80]
Which answer describes the pattern in this sequence?
2, 1, 12, 14, ...
multiply by 2
subtract 1
add 12
multiply by 12
Answers
how do you find contribution margin %?
Answers
Answer:
Contribution margin = Revenue − Variable costs
Step-by-Step Explanation
For example, if the price of your product is $20 and the unit variable cost is $4, then the unit contribution margin is $16.
The first step in doing the calculation is to take a traditional income statement and recategorize all costs as fixed or variable. This is not as straightforward as it sounds, because it’s not always clear which costs fall into each category.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 4(x + 4) = 8(y + 2); 18y - 22 = 3x + 2
Answers
x = 30
y = 2
Get the explanation from the image I have shared.
Hope it helps you
At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : quality does not vary among shift
H1 : quality varies among shift
The expected values :
(Row * column) / grand total
Given the data:
Observed values :
_________________total
_______467 191 42 __700
_______445 171 34 __650
_______254 129 17 _ 400
Total __ 1166 491 93 _ 1750
Expected value count using the formula :.
Expected Values:
466.4 ____196.4 ______37.2
433.086 _182.371___ 34.5429
266.514_ 112.229____ 21.2571
The Chisquare statistic (χ²) :
χ² = (observed - Expected)²/ observed
χ² = 5.76045
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (3-1)*(3-1) = 2*2 = 4
Pvalue = 0.2178
Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift
If you vertically compress the square root parent function by a factor of 1/3, what is the equation of the new function?
Answers
9514 1404 393
Answer:
y = (1/3)√x
Step-by-step explanation:
Vertical scaling of a function is accomplished by multiplying the function by the scale factor. If you want to scale the square root function by a factor of 1/3, then the scaled function is ...
y = (1/3)√x
To solve the equation 6x + 3 = 9 for x, what operations must be
performed on both sides of the equation in order to isolate the variable
x?
Answers
Answer:
Subtraction, and then division.
Step-by-step explanation:
We would subtract 3 on each side to undo the '3', and then divide by 6 on both sides to isolate 'x'.
[tex]6x+3 = 9\\\\6x + 3 - 3 = 9 - 3\\\\ 6x = 6\\\\\frac{6x=6}{6}\\\\\boxed{x=1}[/tex]
Hope this helps.
To solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
What is a linear equation?A linear equation in one variable has the standard form Px + Q = 0. In this equation, x is a variable, P is a coefficient, and Q is constant.
How to solve this problem?Given that 6x + 3 = 9.
First, we have to separate variable and constants. So, we have to subtract 3 from both sides.
6x + 3 - 3 = 9 - 3
i.e. 6x = 6
Now, to solve this equation, we use division.
x = 6/6 = 1
i.e. x = 1
Therefore, to solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
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(Y = 179x
(Y = 105x + 2046
Graph pls
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
this image may be the result of the ___. if mRQS is 75, then mTPU is ____.
Answers
Answer:
B for first one.
75 for second.
Hope this helps !
Step-by-step explanation:
When is 9+10 really equal to 21
Answers
Answer:
it's equal to 21 when I say it's equal to 21
Help pls ASAP this need to be done
Answers
D
Because slope of section D is greater than the others and hence speed is highest.
Solve the system of equations??
Answers
Answer:2921
Step-by-step explanation: Add the two equations together to get (x+y)+(x-y)=3500+2342. Simplify and get 2x=5842. Divide 5842 by 2 and get 2921.
what is a bank statement
Answers
Answer:
A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.
Transactions such as deposits, withdrawals, checks written, debt card uses...
There are other examples of bank statements for things like home loans, business loans, and investments.
Tìm căn bậc hai của số phức z=1+i√3
Answers
Write z in polar form:
z = 1 + √3 i = 2 exp(i π/3)
Taking the square root gives two possible complex numbers,
√z = √2 exp(i (π/3 + 2kπ)/2)
with k = 0 and k = 1, so that
√z = √2 exp(i π/6) = √(3/2) + √(1/2) i
and
√z = √2 exp(i 7π/6) = -√(3/2) - √(1/2) i
A piece of office equipment purchased for dollar-sign 67,500 depreciates in value each year. Suppose that each year the value of the equipment is StartFraction 1 Over 15 EndFraction less than its value the preceding year.
Calculate the value of the equipment after 2 years.
The value of the equipment after 2 years is dollar-sign
Answers
9514 1404 393
Answer:
$58,800
Step-by-step explanation:
Each year, the value is multiplied by 1-1/15 = 14/15. Then after 2 years, the initial value has been multiplied by (14/15)^2 = 196/225. The value after 2 years is ...
$67,500×196/225 = $58,800
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[?]
Answers
The missing side 'a' of the triangle ABC is 96.80 units.
What is a triangle?
A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
Let ABC be the triangle and a,b,c be the respective sides of the triangle.
The diagram below shows that the triangle with their dimensions.
The dimensions are
A=60°, b=50, c=48.
The two sides and one angle of the triangle are given.
The missing side a can be found by using the law of cosines,
[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]
Substitute the above values,
⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]
⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]
⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]
⇒ [tex]a=\sqrt{9375.58}[/tex]
⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]
Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.
Learn more about triangles here
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Complete parts (a) through (c) below
a. A storage pod has a rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Alap pool has a length of 28 yards, a width of 20 yards, and a depth of 3 yards Find the poof's surface area (the water surface) and the total volume of water that the pool holds Raised flower bed is 30 feet long. 5 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds
The area of the floor of the pod is (Type an integer or a decimal)
The volume of the pod is (Type an integer or a decimal
b. The pool's surface area is (Type an integer or a decimal)
The total volume of the water that the pool holds (Type an integer or a decimal)
c. The area of the flower bed is (Type an integer or a decimal)
The volume of the soil that the flower bed holds is (Type an integer or a decimal)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Pool dimension :
rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor
Floor area = length * width
Floor area = 22 * 13 = 286 ft²
Volume of the pod :
Floor area * height = 286ft² * 7ft = 2002 ft³
2.)
Surface area = length * width
Surface area = 28 * 20 = 560 ft²
Volume of the pool :
Surface area * deptb = 560ft² * 7ft = 2002 ft³
3.)
Area of flower bed = length * width
Floor area = 30 * 5 = 150 ft²
Volume of the soil flowerbed holds :
Depth = 1.1 m
Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³
-6c< -12
what will the answear be
Answers
Answer:c>2
Step-by-step explanation:
-6c (divide) (-6) > -12 (divide) (-6)
c>-12 (divide) (-6)
c>12 (divide) 6
c> 2